(4m-1)(3m+4)=0

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Solution for (4m-1)(3m+4)=0 equation:


Simplifying
(4m + -1)(3m + 4) = 0

Reorder the terms:
(-1 + 4m)(3m + 4) = 0

Reorder the terms:
(-1 + 4m)(4 + 3m) = 0

Multiply (-1 + 4m) * (4 + 3m)
(-1(4 + 3m) + 4m * (4 + 3m)) = 0
((4 * -1 + 3m * -1) + 4m * (4 + 3m)) = 0
((-4 + -3m) + 4m * (4 + 3m)) = 0
(-4 + -3m + (4 * 4m + 3m * 4m)) = 0
(-4 + -3m + (16m + 12m2)) = 0

Combine like terms: -3m + 16m = 13m
(-4 + 13m + 12m2) = 0

Solving
-4 + 13m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -3m)(1 + -4m) = 0

Subproblem 1

Set the factor '(-4 + -3m)' equal to zero and attempt to solve: Simplifying -4 + -3m = 0 Solving -4 + -3m = 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 + -3m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3m = 0 + 4 -3m = 0 + 4 Combine like terms: 0 + 4 = 4 -3m = 4 Divide each side by '-3'. m = -1.333333333 Simplifying m = -1.333333333

Subproblem 2

Set the factor '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 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 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25

Solution

m = {-1.333333333, 0.25}

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