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Simplifying m7 + -25m5 = 0 Reorder the terms: -25m5 + m7 = 0 Solving -25m5 + m7 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm5'. m5(-25 + m2) = 0 Factor a difference between two squares. m5((5 + m)(-5 + m)) = 0Subproblem 1
Set the factor 'm5' equal to zero and attempt to solve: Simplifying m5 = 0 Solving m5 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + m)' equal to zero and attempt to solve: Simplifying 5 + m = 0 Solving 5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + m = 0 + -5 m = 0 + -5 Combine like terms: 0 + -5 = -5 m = -5 Simplifying m = -5Subproblem 3
Set the factor '(-5 + m)' equal to zero and attempt to solve: Simplifying -5 + m = 0 Solving -5 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + m = 0 + 5 m = 0 + 5 Combine like terms: 0 + 5 = 5 m = 5 Simplifying m = 5Solution
m = {-5, 5}
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