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Simplifying (6 + -1x)(1 + -1x) + -6 = 0 Multiply (6 + -1x) * (1 + -1x) (6(1 + -1x) + -1x * (1 + -1x)) + -6 = 0 ((1 * 6 + -1x * 6) + -1x * (1 + -1x)) + -6 = 0 ((6 + -6x) + -1x * (1 + -1x)) + -6 = 0 (6 + -6x + (1 * -1x + -1x * -1x)) + -6 = 0 (6 + -6x + (-1x + 1x2)) + -6 = 0 Combine like terms: -6x + -1x = -7x (6 + -7x + 1x2) + -6 = 0 Reorder the terms: 6 + -6 + -7x + 1x2 = 0 Combine like terms: 6 + -6 = 0 0 + -7x + 1x2 = 0 -7x + 1x2 = 0 Solving -7x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 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 '(-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 = 7Solution
x = {0, 7}
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