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Simplifying 3x2 + 18x + 36 = 4 + 2x2 Reorder the terms: 36 + 18x + 3x2 = 4 + 2x2 Solving 36 + 18x + 3x2 = 4 + 2x2 Solving for variable 'x'. Reorder the terms: 36 + -4 + 18x + 3x2 + -2x2 = 4 + 2x2 + -4 + -2x2 Combine like terms: 36 + -4 = 32 32 + 18x + 3x2 + -2x2 = 4 + 2x2 + -4 + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 32 + 18x + 1x2 = 4 + 2x2 + -4 + -2x2 Reorder the terms: 32 + 18x + 1x2 = 4 + -4 + 2x2 + -2x2 Combine like terms: 4 + -4 = 0 32 + 18x + 1x2 = 0 + 2x2 + -2x2 32 + 18x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 32 + 18x + 1x2 = 0 Factor a trinomial. (16 + x)(2 + x) = 0Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-16, -2}
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