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Simplifying 4x2 + -24x = 5x2 + -18x + 9 Reorder the terms: -24x + 4x2 = 5x2 + -18x + 9 Reorder the terms: -24x + 4x2 = 9 + -18x + 5x2 Solving -24x + 4x2 = 9 + -18x + 5x2 Solving for variable 'x'. Reorder the terms: -9 + -24x + 18x + 4x2 + -5x2 = 9 + -18x + 5x2 + -9 + 18x + -5x2 Combine like terms: -24x + 18x = -6x -9 + -6x + 4x2 + -5x2 = 9 + -18x + 5x2 + -9 + 18x + -5x2 Combine like terms: 4x2 + -5x2 = -1x2 -9 + -6x + -1x2 = 9 + -18x + 5x2 + -9 + 18x + -5x2 Reorder the terms: -9 + -6x + -1x2 = 9 + -9 + -18x + 18x + 5x2 + -5x2 Combine like terms: 9 + -9 = 0 -9 + -6x + -1x2 = 0 + -18x + 18x + 5x2 + -5x2 -9 + -6x + -1x2 = -18x + 18x + 5x2 + -5x2 Combine like terms: -18x + 18x = 0 -9 + -6x + -1x2 = 0 + 5x2 + -5x2 -9 + -6x + -1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -9 + -6x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 6x + x2) = 0 Factor a trinomial. -1((3 + x)(3 + x)) = 0 Ignore the factor -1.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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