15m^2-22mn+66mn^2=0

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Solution for 15m^2-22mn+66mn^2=0 equation:


Simplifying
15m2 + -22mn + 66mn2 = 0

Reorder the terms:
-22mn + 66mn2 + 15m2 = 0

Solving
-22mn + 66mn2 + 15m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(-22n + 66n2 + 15m) = 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 '(-22n + 66n2 + 15m)' equal to zero and attempt to solve: Simplifying -22n + 66n2 + 15m = 0 Reorder the terms: 15m + -22n + 66n2 = 0 Solving 15m + -22n + 66n2 = 0 Move all terms containing m to the left, all other terms to the right. Add '22n' to each side of the equation. 15m + -22n + 22n + 66n2 = 0 + 22n Combine like terms: -22n + 22n = 0 15m + 0 + 66n2 = 0 + 22n 15m + 66n2 = 0 + 22n Remove the zero: 15m + 66n2 = 22n Add '-66n2' to each side of the equation. 15m + 66n2 + -66n2 = 22n + -66n2 Combine like terms: 66n2 + -66n2 = 0 15m + 0 = 22n + -66n2 15m = 22n + -66n2 Divide each side by '15'. m = 1.466666667n + -4.4n2 Simplifying m = 1.466666667n + -4.4n2

Solution

m = {0, 1.466666667n + -4.4n2}

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