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Simplifying M(x) = 60x3 + 60x2 + 60x Multiply M * x xM = 60x3 + 60x2 + 60x Reorder the terms: xM = 60x + 60x2 + 60x3 Solving xM = 60x + 60x2 + 60x3 Solving for variable 'x'. Reorder the terms: -60x + xM + -60x2 + -60x3 = 60x + 60x2 + 60x3 + -60x + -60x2 + -60x3 Reorder the terms: -60x + xM + -60x2 + -60x3 = 60x + -60x + 60x2 + -60x2 + 60x3 + -60x3 Combine like terms: 60x + -60x = 0 -60x + xM + -60x2 + -60x3 = 0 + 60x2 + -60x2 + 60x3 + -60x3 -60x + xM + -60x2 + -60x3 = 60x2 + -60x2 + 60x3 + -60x3 Combine like terms: 60x2 + -60x2 = 0 -60x + xM + -60x2 + -60x3 = 0 + 60x3 + -60x3 -60x + xM + -60x2 + -60x3 = 60x3 + -60x3 Combine like terms: 60x3 + -60x3 = 0 -60x + xM + -60x2 + -60x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-60 + M + -60x + -60x2) = 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 '(-60 + M + -60x + -60x2)' equal to zero and attempt to solve: Simplifying -60 + M + -60x + -60x2 = 0 Solving -60 + M + -60x + -60x2 = 0 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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