2x2 + 5x + 15 - 4x2 - 12x = 18

-2x2 -7x - 3 = 0

2x2 + 7x + 3 = 0

Simplify each fractional expression and then write the equation in standard quadratic form.

2x2 + 5(x + 3) - 4x2 - 12x = 18

2x2 + 5x + 15 - 4x2 - 12x = 18

-2x2 -7x - 3 = 0

2x2 + 7x + 3 = 0

Simplify each fractional expression and then write the equation in standard quadratic form.

2x2 + 5x + 15 - 4x2 - 12x = 18

-2x2 -7x - 3 = 0

2x2 + 7x + 3 = 0

Simplify each fractional expression and then write the equation in standard quadratic form.

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Not sure I really understand your question, "why did the negatives turn to positives," but here is my interpretation. I assume you are asking how -2x2-7x-3 was converted to 2x2+7x+3; two ways, multiply both sides by -1 (minus one) ... -1 * 0 = 0 ... or, add 2x2+7x+3 to both sides.

on to the final solution, I.e., by factoring you get

(2x+1)*(x+3) = 0

so, x =-1/2 or x= -3

Was this what you were asking?

Looks like this 2x2 + 5(x + 3) - 4x2 - 12x = 18

should be this 2x^2 + 5(x + 3) - 4x^2 - 12x = 18; then:

2x^2 - 4x^2 + 5x + 15 - 12x = 18

-12x - 18 +12x = -18

-2x^2 - 7x - 3 = 0

Multiply both sides by -1:

2x^2 + 7x + 3 = 0

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