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Simplifying 2x2 + 6x + 9 = 4x2 + 12x + 9 Reorder the terms: 9 + 6x + 2x2 = 4x2 + 12x + 9 Reorder the terms: 9 + 6x + 2x2 = 9 + 12x + 4x2 Add '-9' to each side of the equation. 9 + 6x + -9 + 2x2 = 9 + 12x + -9 + 4x2 Reorder the terms: 9 + -9 + 6x + 2x2 = 9 + 12x + -9 + 4x2 Combine like terms: 9 + -9 = 0 0 + 6x + 2x2 = 9 + 12x + -9 + 4x2 6x + 2x2 = 9 + 12x + -9 + 4x2 Reorder the terms: 6x + 2x2 = 9 + -9 + 12x + 4x2 Combine like terms: 9 + -9 = 0 6x + 2x2 = 0 + 12x + 4x2 6x + 2x2 = 12x + 4x2 Solving 6x + 2x2 = 12x + 4x2 Solving for variable 'x'. Reorder the terms: 6x + -12x + 2x2 + -4x2 = 12x + 4x2 + -12x + -4x2 Combine like terms: 6x + -12x = -6x -6x + 2x2 + -4x2 = 12x + 4x2 + -12x + -4x2 Combine like terms: 2x2 + -4x2 = -2x2 -6x + -2x2 = 12x + 4x2 + -12x + -4x2 Reorder the terms: -6x + -2x2 = 12x + -12x + 4x2 + -4x2 Combine like terms: 12x + -12x = 0 -6x + -2x2 = 0 + 4x2 + -4x2 -6x + -2x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, -3}
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