(2m-3)(4m+7)=0

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Solution for (2m-3)(4m+7)=0 equation:


Simplifying
(2m + -3)(4m + 7) = 0

Reorder the terms:
(-3 + 2m)(4m + 7) = 0

Reorder the terms:
(-3 + 2m)(7 + 4m) = 0

Multiply (-3 + 2m) * (7 + 4m)
(-3(7 + 4m) + 2m * (7 + 4m)) = 0
((7 * -3 + 4m * -3) + 2m * (7 + 4m)) = 0
((-21 + -12m) + 2m * (7 + 4m)) = 0
(-21 + -12m + (7 * 2m + 4m * 2m)) = 0
(-21 + -12m + (14m + 8m2)) = 0

Combine like terms: -12m + 14m = 2m
(-21 + 2m + 8m2) = 0

Solving
-21 + 2m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -4m)(3 + -2m) = 0

Subproblem 1

Set the factor '(-7 + -4m)' equal to zero and attempt to solve: Simplifying -7 + -4m = 0 Solving -7 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4m = 0 + 7 -4m = 0 + 7 Combine like terms: 0 + 7 = 7 -4m = 7 Divide each side by '-4'. m = -1.75 Simplifying m = -1.75

Subproblem 2

Set the factor '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5

Solution

m = {-1.75, 1.5}

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