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Simplifying M(x) = 17x + -1x2 Multiply M * x xM = 17x + -1x2 Solving xM = 17x + -1x2 Solving for variable 'x'. Reorder the terms: -17x + xM + x2 = 17x + -1x2 + -17x + x2 Reorder the terms: -17x + xM + x2 = 17x + -17x + -1x2 + x2 Combine like terms: 17x + -17x = 0 -17x + xM + x2 = 0 + -1x2 + x2 -17x + xM + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -17x + xM + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-17 + 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 '(-17 + M + x)' equal to zero and attempt to solve: Simplifying -17 + M + x = 0 Solving -17 + M + x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + M + 17 + x = 0 + 17 Reorder the terms: -17 + 17 + M + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + M + x = 0 + 17 M + x = 0 + 17 Combine like terms: 0 + 17 = 17 M + x = 17 Add '-1M' to each side of the equation. M + -1M + x = 17 + -1M Combine like terms: M + -1M = 0 0 + x = 17 + -1M x = 17 + -1M Simplifying x = 17 + -1MSolution
x = {0, 17 + -1M}
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