15m^2=-3m

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Solution for 15m^2=-3m equation:


Simplifying
15m2 = -3m

Solving
15m2 = -3m

Solving for variable 'm'.

Reorder the terms:
3m + 15m2 = -3m + 3m

Combine like terms: -3m + 3m = 0
3m + 15m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(1 + 5m) = 0

Ignore the factor 3.

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 '(1 + 5m)' equal to zero and attempt to solve: Simplifying 1 + 5m = 0 Solving 1 + 5m = 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 + 5m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 0 + -1 5m = 0 + -1 Combine like terms: 0 + -1 = -1 5m = -1 Divide each side by '5'. m = -0.2 Simplifying m = -0.2

Solution

m = {0, -0.2}

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