3x^2+2x=5

x=?

3x^2+2x=5

x=?

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3x^{2} + 2x = 5 Given

3x^{2} + 2x - 5 = 0 Subtract 5 from each side

(3x + 5)(x - 1) = 0 Factor the left side of the equation

3x + 5 = 0 x - 1 = 0 Set each factor equal to 0

3x = -5 x = 1 Subtract 5 in the first equation, add 1 in the second

x = -5/3 Divide by 3 in the first equation

x = {-5/3, 1}

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