(4m-7)(3m-7)=

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


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

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

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

Multiply (-7 + 4m) * (-7 + 3m)
(-7(-7 + 3m) + 4m * (-7 + 3m)) = 0
((-7 * -7 + 3m * -7) + 4m * (-7 + 3m)) = 0
((49 + -21m) + 4m * (-7 + 3m)) = 0
(49 + -21m + (-7 * 4m + 3m * 4m)) = 0
(49 + -21m + (-28m + 12m2)) = 0

Combine like terms: -21m + -28m = -49m
(49 + -49m + 12m2) = 0

Solving
49 + -49m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -4m)(7 + -3m) = 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 '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 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 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333

Solution

m = {1.75, 2.333333333}

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