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Simplifying x(x3 + -1) = 7x Reorder the terms: x(-1 + x3) = 7x (-1 * x + x3 * x) = 7x (-1x + x4) = 7x Solving -1x + x4 = 7x Solving for variable 'x'. Reorder the terms: -1x + -7x + x4 = 7x + -7x Combine like terms: -1x + -7x = -8x -8x + x4 = 7x + -7x Combine like terms: 7x + -7x = 0 -8x + x4 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + x3) = 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 '(-8 + x3)' equal to zero and attempt to solve: Simplifying -8 + x3 = 0 Solving -8 + x3 = 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 + x3 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x3 = 0 + 8 x3 = 0 + 8 Combine like terms: 0 + 8 = 8 x3 = 8 Simplifying x3 = 8 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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