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Simplifying M(x) = 14x + -1x2 Multiply M * x xM = 14x + -1x2 Solving xM = 14x + -1x2 Solving for variable 'x'. Reorder the terms: -14x + xM + x2 = 14x + -1x2 + -14x + x2 Reorder the terms: -14x + xM + x2 = 14x + -14x + -1x2 + x2 Combine like terms: 14x + -14x = 0 -14x + xM + x2 = 0 + -1x2 + x2 -14x + xM + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -14x + xM + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + 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 '(-14 + M + x)' equal to zero and attempt to solve: Simplifying -14 + M + x = 0 Solving -14 + M + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + M + 14 + x = 0 + 14 Reorder the terms: -14 + 14 + M + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + M + x = 0 + 14 M + x = 0 + 14 Combine like terms: 0 + 14 = 14 M + x = 14 Add '-1M' to each side of the equation. M + -1M + x = 14 + -1M Combine like terms: M + -1M = 0 0 + x = 14 + -1M x = 14 + -1M Simplifying x = 14 + -1MSolution
x = {0, 14 + -1M}
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