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Simplifying x + -1m = mx2 + 9x Reorder the terms: -1m + x = mx2 + 9x Solving -1m + x = mx2 + 9x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1mx2' to each side of the equation. -1m + -1mx2 + x = mx2 + -1mx2 + 9x Combine like terms: mx2 + -1mx2 = 0 -1m + -1mx2 + x = 0 + 9x -1m + -1mx2 + x = 9x Add '-1x' to each side of the equation. -1m + -1mx2 + x + -1x = 9x + -1x Combine like terms: x + -1x = 0 -1m + -1mx2 + 0 = 9x + -1x -1m + -1mx2 = 9x + -1x Combine like terms: 9x + -1x = 8x -1m + -1mx2 = 8x Combine like terms: 8x + -8x = 0 -1m + -1mx2 + -8x = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(m + mx2 + 8x) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(m + mx2 + 8x)' equal to zero and attempt to solve: Simplifying m + mx2 + 8x = 0 Solving m + mx2 + 8x = 0 Move all terms containing m to the left, all other terms to the right. Add '-8x' to each side of the equation. m + mx2 + 8x + -8x = 0 + -8x Combine like terms: 8x + -8x = 0 m + mx2 + 0 = 0 + -8x m + mx2 = 0 + -8x Remove the zero: m + mx2 = -8x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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