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Simplifying -1x + x2 = 6x Solving -1x + x2 = 6x Solving for variable 'x'. Reorder the terms: -1x + -6x + x2 = 6x + -6x Combine like terms: -1x + -6x = -7x -7x + x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -7x + x2 = 0 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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