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