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Simplifying 3x2 + 5x = x2 + -7x + -18 Reorder the terms: 5x + 3x2 = x2 + -7x + -18 Reorder the terms: 5x + 3x2 = -18 + -7x + x2 Solving 5x + 3x2 = -18 + -7x + x2 Solving for variable 'x'. Reorder the terms: 18 + 5x + 7x + 3x2 + -1x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Combine like terms: 5x + 7x = 12x 18 + 12x + 3x2 + -1x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Combine like terms: 3x2 + -1x2 = 2x2 18 + 12x + 2x2 = -18 + -7x + x2 + 18 + 7x + -1x2 Reorder the terms: 18 + 12x + 2x2 = -18 + 18 + -7x + 7x + x2 + -1x2 Combine like terms: -18 + 18 = 0 18 + 12x + 2x2 = 0 + -7x + 7x + x2 + -1x2 18 + 12x + 2x2 = -7x + 7x + x2 + -1x2 Combine like terms: -7x + 7x = 0 18 + 12x + 2x2 = 0 + x2 + -1x2 18 + 12x + 2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + 12x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 6x + x2) = 0 Factor a trinomial. 2((3 + x)(3 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-3, -3}
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