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Simplifying x2 + 10x + 12 = 4x + 3 Reorder the terms: 12 + 10x + x2 = 4x + 3 Reorder the terms: 12 + 10x + x2 = 3 + 4x Solving 12 + 10x + x2 = 3 + 4x Solving for variable 'x'. Reorder the terms: 12 + -3 + 10x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 12 + -3 = 9 9 + 10x + -4x + x2 = 3 + 4x + -3 + -4x Combine like terms: 10x + -4x = 6x 9 + 6x + x2 = 3 + 4x + -3 + -4x Reorder the terms: 9 + 6x + x2 = 3 + -3 + 4x + -4x Combine like terms: 3 + -3 = 0 9 + 6x + x2 = 0 + 4x + -4x 9 + 6x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 9 + 6x + x2 = 0 Factor a trinomial. (3 + x)(3 + x) = 0Subproblem 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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