5m^3+2m=80m^3

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Solution for 5m^3+2m=80m^3 equation:


Simplifying
5m3 + 2m = 80m3

Reorder the terms:
2m + 5m3 = 80m3

Solving
2m + 5m3 = 80m3

Solving for variable 'm'.

Combine like terms: 5m3 + -80m3 = -75m3
2m + -75m3 = 80m3 + -80m3

Combine like terms: 80m3 + -80m3 = 0
2m + -75m3 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(2 + -75m2) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(2 + -75m2)' equal to zero and attempt to solve: Simplifying 2 + -75m2 = 0 Solving 2 + -75m2 = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -75m2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -75m2 = 0 + -2 -75m2 = 0 + -2 Combine like terms: 0 + -2 = -2 -75m2 = -2 Divide each side by '-75'. m2 = 0.02666666667 Simplifying m2 = 0.02666666667 Take the square root of each side: m = {-0.163299316, 0.163299316}

Solution

m = {0, -0.163299316, 0.163299316}

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