8m^2+6m=0

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Solution for 8m^2+6m=0 equation:


Simplifying
8m2 + 6m = 0

Reorder the terms:
6m + 8m2 = 0

Solving
6m + 8m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m'.
2m(3 + 4m) = 0

Ignore the factor 2.

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 '(3 + 4m)' equal to zero and attempt to solve: Simplifying 3 + 4m = 0 Solving 3 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 0 + -3 4m = 0 + -3 Combine like terms: 0 + -3 = -3 4m = -3 Divide each side by '4'. m = -0.75 Simplifying m = -0.75

Solution

m = {0, -0.75}

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