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Simplifying (x + -1)(x + -1) + -6(x + -1) + 9 = 0 Reorder the terms: (-1 + x)(x + -1) + -6(x + -1) + 9 = 0 Reorder the terms: (-1 + x)(-1 + x) + -6(x + -1) + 9 = 0 Multiply (-1 + x) * (-1 + x) (-1(-1 + x) + x(-1 + x)) + -6(x + -1) + 9 = 0 ((-1 * -1 + x * -1) + x(-1 + x)) + -6(x + -1) + 9 = 0 ((1 + -1x) + x(-1 + x)) + -6(x + -1) + 9 = 0 (1 + -1x + (-1 * x + x * x)) + -6(x + -1) + 9 = 0 (1 + -1x + (-1x + x2)) + -6(x + -1) + 9 = 0 Combine like terms: -1x + -1x = -2x (1 + -2x + x2) + -6(x + -1) + 9 = 0 Reorder the terms: 1 + -2x + x2 + -6(-1 + x) + 9 = 0 1 + -2x + x2 + (-1 * -6 + x * -6) + 9 = 0 1 + -2x + x2 + (6 + -6x) + 9 = 0 Reorder the terms: 1 + 6 + 9 + -2x + -6x + x2 = 0 Combine like terms: 1 + 6 = 7 7 + 9 + -2x + -6x + x2 = 0 Combine like terms: 7 + 9 = 16 16 + -2x + -6x + x2 = 0 Combine like terms: -2x + -6x = -8x 16 + -8x + x2 = 0 Solving 16 + -8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {4, 4}
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