(7m+12)(7m+12)=

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Solution for (7m+12)(7m+12)= equation:


Simplifying
(7m + 12)(7m + 12) = 0

Reorder the terms:
(12 + 7m)(7m + 12) = 0

Reorder the terms:
(12 + 7m)(12 + 7m) = 0

Multiply (12 + 7m) * (12 + 7m)
(12(12 + 7m) + 7m * (12 + 7m)) = 0
((12 * 12 + 7m * 12) + 7m * (12 + 7m)) = 0
((144 + 84m) + 7m * (12 + 7m)) = 0
(144 + 84m + (12 * 7m + 7m * 7m)) = 0
(144 + 84m + (84m + 49m2)) = 0

Combine like terms: 84m + 84m = 168m
(144 + 168m + 49m2) = 0

Solving
144 + 168m + 49m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(12 + 7m)(12 + 7m) = 0

Subproblem 1

Set the factor '(12 + 7m)' equal to zero and attempt to solve: Simplifying 12 + 7m = 0 Solving 12 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7m = 0 + -12 7m = 0 + -12 Combine like terms: 0 + -12 = -12 7m = -12 Divide each side by '7'. m = -1.714285714 Simplifying m = -1.714285714

Subproblem 2

Set the factor '(12 + 7m)' equal to zero and attempt to solve: Simplifying 12 + 7m = 0 Solving 12 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7m = 0 + -12 7m = 0 + -12 Combine like terms: 0 + -12 = -12 7m = -12 Divide each side by '7'. m = -1.714285714 Simplifying m = -1.714285714

Solution

m = {-1.714285714, -1.714285714}

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