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Simplifying 5x2 + 12x = 4x2 + -36 Reorder the terms: 12x + 5x2 = 4x2 + -36 Reorder the terms: 12x + 5x2 = -36 + 4x2 Solving 12x + 5x2 = -36 + 4x2 Solving for variable 'x'. Reorder the terms: 36 + 12x + 5x2 + -4x2 = -36 + 4x2 + 36 + -4x2 Combine like terms: 5x2 + -4x2 = 1x2 36 + 12x + 1x2 = -36 + 4x2 + 36 + -4x2 Reorder the terms: 36 + 12x + 1x2 = -36 + 36 + 4x2 + -4x2 Combine like terms: -36 + 36 = 0 36 + 12x + 1x2 = 0 + 4x2 + -4x2 36 + 12x + 1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 36 + 12x + 1x2 = 0 Factor a trinomial. (6 + x)(6 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-6, -6}
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