# Solve By Factoring Worksheet

Solve each equation by factoring.

## Checking Your Answers

Click "Show Answer" underneath the problem to see the answer. Or click the "Show Answers" button at the bottom of the page to see all the answers at once.

If you need assistance with a particular problem, click the "step-by-step" link for an in depth solution.

## Example:

`Equation: x^2 - 12x + 27 = 0 `
`Answer: x = 3, 9`

## Quiz:

1. `Equation: x^2 + x = 0 `
`Answer: x = -1, 0`
2. `Equation: x^2 - 1 = 0 `
`Answer: x = -1, 1`
3. `Equation: x^2 - 5x + 6 = 0 `
`Answer: x = 2, 3`
4. `Equation: x^3 + 3x^2 - 4x = 0 `
`Answer: x = -4, 0, 1`
5. `Equation: x^4 - 10x^2 + 9 = 0 `
`Answer: x = -3, -1, 1, 3`
6. `Equation: y^2 - 10y + 21 = 0 `
`Answer: y = 3, 7`
7. `Equation: m^2 + 18m + 81 = 0 `
`Answer: m = -9`
8. `Equation: q^2 + 3q - 70 = 0 `
`Answer: q = -10, 7`
9. `Equation: a^2 - 12a + 32 = 0 `
`Answer: a = 4, 8`
10. `Equation: b^2 + 12b + 35 = 0 `
`Answer: b = -7, -5`
11. `Equation: 5j^2 - 20 = 0 `
`Answer: j = -2, 2`
12. `Equation: 3p^2 - 12p + 63 = 0 `
`Answer: p = -3, 7`
13. `Equation: -2p^2 + 28p - 66 = 0 `
`Answer: p = 3, 11`
14. `Equation: 20q^2 - 13q + 2 = 0 `
`Answer: q = 0.25, 0.40`
15. `Equation: 10x^2 - 9x + 2 = 0 `
`Answer: x = 0.4, 0.5`
16. `Equation: 16y^2 - 1 = 0 `
`Answer: y = -0.25, 0.25`
17. `Equation: 2x^3 - 9x^2 - 5x = 0 `
`Answer: x = -0.5, 0, 5`
18. `Equation: x^4 - x^2 = 0 `
`Answer: x = -1, 0, 1`
19. `Equation: 25x^3 - 10x^2 - 3x = 0 `
`Answer: x = -0.2, 0, 0.6`
20. `Equation: 16y^2 - 12y + 2 = 0 `
`Answer: y = 0.25, 0.5`
21. `Equation: x + 2 = 3x - x^2 + 5 `
`Answer: x = -1, 3`
22. `Equation: k^2 = k `
`Answer: k = 0, 1`
23. `Equation: p^2 + 21p - 49 = 21p `
`Answer: p = -7, 7`
24. `Equation: 5 = 9q + 2q^2 `
`Answer: q = -5, 0.5`
25. `Equation: g^2 = 13 - 12g `
`Answer: g = -13, 1`
26. `Equation: k^3 + 4k^2 + 4k = -k^3 + 10k `
`Answer: k = -3, 0, 1`
27. `Equation: (2m + 1)(2m + 1) = 4m + 2 `
`Answer: m = -0.5, 0.5`
28. `Equation: 15b = 11 - b^2 + 5b `
`Answer: b = -11, 1`
29. `Equation: x(x + 6)(x - 4) = 24x `
`Answer: x = -8, 0, 6`
30. `Equation: (y + 9)(y - 2) = 4y `
`Answer: y = -6, 3`

## Related Pages

Solve By Factoring Lesson
Brush up on your knowledge of the techniques needed to solve problems on this page.

Equation Factoring Calculator
Automatically factors and solves equations.

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