3m^2-15m^2+48m=0

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Solution for 3m^2-15m^2+48m=0 equation:


Simplifying
3m2 + -15m2 + 48m = 0

Reorder the terms:
48m + 3m2 + -15m2 = 0

Combine like terms: 3m2 + -15m2 = -12m2
48m + -12m2 = 0

Solving
48m + -12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '12m'.
12m(4 + -1m) = 0

Ignore the factor 12.

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 '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {0, 4}

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