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Simplifying 5M4 + -245M2 = 0 Reorder the terms: -245M2 + 5M4 = 0 Solving -245M2 + 5M4 = 0 Solving for variable 'M'. Factor out the Greatest Common Factor (GCF), '5M2'. 5M2(-49 + M2) = 0 Factor a difference between two squares. 5M2((7 + M)(-7 + M)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'M2' equal to zero and attempt to solve: Simplifying M2 = 0 Solving M2 = 0 Move all terms containing M to the left, all other terms to the right. Simplifying M2 = 0 Take the square root of each side: M = {0}Subproblem 2
Set the factor '(7 + M)' equal to zero and attempt to solve: Simplifying 7 + M = 0 Solving 7 + M = 0 Move all terms containing M to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + M = 0 + -7 Combine like terms: 7 + -7 = 0 0 + M = 0 + -7 M = 0 + -7 Combine like terms: 0 + -7 = -7 M = -7 Simplifying M = -7Subproblem 3
Set the factor '(-7 + M)' equal to zero and attempt to solve: Simplifying -7 + M = 0 Solving -7 + M = 0 Move all terms containing M to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + M = 0 + 7 Combine like terms: -7 + 7 = 0 0 + M = 0 + 7 M = 0 + 7 Combine like terms: 0 + 7 = 7 M = 7 Simplifying M = 7Solution
M = {0, -7, 7}
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