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Simplifying (x + -7)(x + 1) = -7 Reorder the terms: (-7 + x)(x + 1) = -7 Reorder the terms: (-7 + x)(1 + x) = -7 Multiply (-7 + x) * (1 + x) (-7(1 + x) + x(1 + x)) = -7 ((1 * -7 + x * -7) + x(1 + x)) = -7 ((-7 + -7x) + x(1 + x)) = -7 (-7 + -7x + (1 * x + x * x)) = -7 (-7 + -7x + (1x + x2)) = -7 Combine like terms: -7x + 1x = -6x (-7 + -6x + x2) = -7 Add '7' to each side of the equation. -7 + -6x + 7 + x2 = -7 + 7 Reorder the terms: -7 + 7 + -6x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 0 + -6x + x2 = -7 + 7 -6x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -6x + x2 = 0 Solving -6x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-6 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = {0, 6}
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