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Simplifying x2(x + -1) = 7x2 Reorder the terms: x2(-1 + x) = 7x2 (-1 * x2 + x * x2) = 7x2 (-1x2 + x3) = 7x2 Solving -1x2 + x3 = 7x2 Solving for variable 'x'. Reorder the terms: -1x2 + -7x2 + x3 = 7x2 + -7x2 Combine like terms: -1x2 + -7x2 = -8x2 -8x2 + x3 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -8x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(-8 + x) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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