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

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


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

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

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

Multiply (3 + -7m) * (4 + -2m)
(3(4 + -2m) + -7m * (4 + -2m)) = 0
((4 * 3 + -2m * 3) + -7m * (4 + -2m)) = 0
((12 + -6m) + -7m * (4 + -2m)) = 0
(12 + -6m + (4 * -7m + -2m * -7m)) = 0
(12 + -6m + (-28m + 14m2)) = 0

Combine like terms: -6m + -28m = -34m
(12 + -34m + 14m2) = 0

Solving
12 + -34m + 14m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + -17m + 7m2) = 0

Factor a trinomial.
2((3 + -7m)(2 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -7m)' equal to zero and attempt to solve: Simplifying 3 + -7m = 0 Solving 3 + -7m = 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 + -7m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7m = 0 + -3 -7m = 0 + -3 Combine like terms: 0 + -3 = -3 -7m = -3 Divide each side by '-7'. m = 0.4285714286 Simplifying m = 0.4285714286

Subproblem 2

Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2

Solution

m = {0.4285714286, 2}

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