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Simplifying 7m4 + 2m3 + -9m2 = 0 Reorder the terms: -9m2 + 2m3 + 7m4 = 0 Solving -9m2 + 2m3 + 7m4 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), 'm2'. m2(-9 + 2m + 7m2) = 0 Factor a trinomial. m2((-9 + -7m)(1 + -1m)) = 0Subproblem 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 '(-9 + -7m)' equal to zero and attempt to solve: Simplifying -9 + -7m = 0 Solving -9 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -7m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -7m = 0 + 9 -7m = 0 + 9 Combine like terms: 0 + 9 = 9 -7m = 9 Divide each side by '-7'. m = -1.285714286 Simplifying m = -1.285714286Subproblem 3
Set the factor '(1 + -1m)' equal to zero and attempt to solve: Simplifying 1 + -1m = 0 Solving 1 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = 0 + -1 -1m = 0 + -1 Combine like terms: 0 + -1 = -1 -1m = -1 Divide each side by '-1'. m = 1 Simplifying m = 1Solution
m = {0, -1.285714286, 1}
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