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Simplifying 4x(x + 4) = 4x + -9 Reorder the terms: 4x(4 + x) = 4x + -9 (4 * 4x + x * 4x) = 4x + -9 (16x + 4x2) = 4x + -9 Reorder the terms: 16x + 4x2 = -9 + 4x Solving 16x + 4x2 = -9 + 4x Solving for variable 'x'. Reorder the terms: 9 + 16x + -4x + 4x2 = -9 + 4x + 9 + -4x Combine like terms: 16x + -4x = 12x 9 + 12x + 4x2 = -9 + 4x + 9 + -4x Reorder the terms: 9 + 12x + 4x2 = -9 + 9 + 4x + -4x Combine like terms: -9 + 9 = 0 9 + 12x + 4x2 = 0 + 4x + -4x 9 + 12x + 4x2 = 4x + -4x Combine like terms: 4x + -4x = 0 9 + 12x + 4x2 = 0 Factor a trinomial. (3 + 2x)(3 + 2x) = 0Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-1.5, -1.5}
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