x^2+7xm+12m^2=0

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Solution for x^2+7xm+12m^2=0 equation:


Simplifying
x2 + 7xm + 12m2 = 0

Reorder the terms:
7mx + 12m2 + x2 = 0

Solving
7mx + 12m2 + x2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4m + x)(3m + x) = 0

Subproblem 1

Set the factor '(4m + x)' equal to zero and attempt to solve: Simplifying 4m + x = 0 Solving 4m + x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 4m + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 4m + 0 = 0 + -1x 4m = 0 + -1x Remove the zero: 4m = -1x Divide each side by '4'. m = -0.25x Simplifying m = -0.25x

Subproblem 2

Set the factor '(3m + x)' equal to zero and attempt to solve: Simplifying 3m + x = 0 Solving 3m + x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 3m + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 3m + 0 = 0 + -1x 3m = 0 + -1x Remove the zero: 3m = -1x Divide each side by '3'. m = -0.3333333333x Simplifying m = -0.3333333333x

Solution

m = {-0.25x, -0.3333333333x}

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