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Simplifying (x + -9)(x + -3) = -9 Reorder the terms: (-9 + x)(x + -3) = -9 Reorder the terms: (-9 + x)(-3 + x) = -9 Multiply (-9 + x) * (-3 + x) (-9(-3 + x) + x(-3 + x)) = -9 ((-3 * -9 + x * -9) + x(-3 + x)) = -9 ((27 + -9x) + x(-3 + x)) = -9 (27 + -9x + (-3 * x + x * x)) = -9 (27 + -9x + (-3x + x2)) = -9 Combine like terms: -9x + -3x = -12x (27 + -12x + x2) = -9 Solving 27 + -12x + x2 = -9 Solving for variable 'x'. Reorder the terms: 27 + 9 + -12x + x2 = -9 + 9 Combine like terms: 27 + 9 = 36 36 + -12x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 36 + -12x + x2 = 0 Factor a trinomial. (6 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {6, 6}
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