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Simplifying (-9 + -1x)(-4 + -1x) + 6 = 0 Multiply (-9 + -1x) * (-4 + -1x) (-9(-4 + -1x) + -1x * (-4 + -1x)) + 6 = 0 ((-4 * -9 + -1x * -9) + -1x * (-4 + -1x)) + 6 = 0 ((36 + 9x) + -1x * (-4 + -1x)) + 6 = 0 (36 + 9x + (-4 * -1x + -1x * -1x)) + 6 = 0 (36 + 9x + (4x + 1x2)) + 6 = 0 Combine like terms: 9x + 4x = 13x (36 + 13x + 1x2) + 6 = 0 Reorder the terms: 36 + 6 + 13x + 1x2 = 0 Combine like terms: 36 + 6 = 42 42 + 13x + 1x2 = 0 Solving 42 + 13x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + x)(6 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-7, -6}
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