(7m-8)(4m-2)=

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Solution for (7m-8)(4m-2)= equation:


Simplifying
(7m + -8)(4m + -2) = 0

Reorder the terms:
(-8 + 7m)(4m + -2) = 0

Reorder the terms:
(-8 + 7m)(-2 + 4m) = 0

Multiply (-8 + 7m) * (-2 + 4m)
(-8(-2 + 4m) + 7m * (-2 + 4m)) = 0
((-2 * -8 + 4m * -8) + 7m * (-2 + 4m)) = 0
((16 + -32m) + 7m * (-2 + 4m)) = 0
(16 + -32m + (-2 * 7m + 4m * 7m)) = 0
(16 + -32m + (-14m + 28m2)) = 0

Combine like terms: -32m + -14m = -46m
(16 + -46m + 28m2) = 0

Solving
16 + -46m + 28m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -23m + 14m2) = 0

Factor a trinomial.
2((1 + -2m)(8 + -7m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -2m)' equal to zero and attempt to solve: Simplifying 1 + -2m = 0 Solving 1 + -2m = 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 + -2m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 0 + -1 -2m = 0 + -1 Combine like terms: 0 + -1 = -1 -2m = -1 Divide each side by '-2'. m = 0.5 Simplifying m = 0.5

Subproblem 2

Set the factor '(8 + -7m)' equal to zero and attempt to solve: Simplifying 8 + -7m = 0 Solving 8 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7m = 0 + -8 -7m = 0 + -8 Combine like terms: 0 + -8 = -8 -7m = -8 Divide each side by '-7'. m = 1.142857143 Simplifying m = 1.142857143

Solution

m = {0.5, 1.142857143}

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