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Simplifying x(x + 6) = 3(4x + -3) Reorder the terms: x(6 + x) = 3(4x + -3) (6 * x + x * x) = 3(4x + -3) (6x + x2) = 3(4x + -3) Reorder the terms: 6x + x2 = 3(-3 + 4x) 6x + x2 = (-3 * 3 + 4x * 3) 6x + x2 = (-9 + 12x) Solving 6x + x2 = -9 + 12x Solving for variable 'x'. Reorder the terms: 9 + 6x + -12x + x2 = -9 + 12x + 9 + -12x Combine like terms: 6x + -12x = -6x 9 + -6x + x2 = -9 + 12x + 9 + -12x Reorder the terms: 9 + -6x + x2 = -9 + 9 + 12x + -12x Combine like terms: -9 + 9 = 0 9 + -6x + x2 = 0 + 12x + -12x 9 + -6x + x2 = 12x + -12x Combine like terms: 12x + -12x = 0 9 + -6x + x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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