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Simplifying 9x2M = 10x2 + -19x2 Combine like terms: 10x2 + -19x2 = -9x2 9x2M = -9x2 Solving 9x2M = -9x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x2' to each side of the equation. 9x2 + 9x2M = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 9x2 + 9x2M = 0 Factor out the Greatest Common Factor (GCF), '9x2'. 9x2(1 + M) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(1 + M)' equal to zero and attempt to solve: Simplifying 1 + M = 0 Solving 1 + M = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + M = 0 + -1 Combine like terms: 1 + -1 = 0 0 + M = 0 + -1 M = 0 + -1 Combine like terms: 0 + -1 = -1 M = -1 Add '-1M' to each side of the equation. M + -1M = -1 + -1M Combine like terms: M + -1M = 0 0 = -1 + -1M Simplifying 0 = -1 + -1M 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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