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Simplifying M(x) = 8x + -1x2 Multiply M * x xM = 8x + -1x2 Solving xM = 8x + -1x2 Solving for variable 'x'. Reorder the terms: -8x + xM + x2 = 8x + -1x2 + -8x + x2 Reorder the terms: -8x + xM + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 -8x + xM + x2 = 0 + -1x2 + x2 -8x + xM + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -8x + xM + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8 + M + 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 '(-8 + M + x)' equal to zero and attempt to solve: Simplifying -8 + M + x = 0 Solving -8 + M + 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 + M + 8 + x = 0 + 8 Reorder the terms: -8 + 8 + M + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + M + x = 0 + 8 M + x = 0 + 8 Combine like terms: 0 + 8 = 8 M + x = 8 Add '-1M' to each side of the equation. M + -1M + x = 8 + -1M Combine like terms: M + -1M = 0 0 + x = 8 + -1M x = 8 + -1M Simplifying x = 8 + -1MSolution
x = {0, 8 + -1M}
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