(4m-3)(5m-5)=

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Solution for (4m-3)(5m-5)= equation:


Simplifying
(4m + -3)(5m + -5) = 0

Reorder the terms:
(-3 + 4m)(5m + -5) = 0

Reorder the terms:
(-3 + 4m)(-5 + 5m) = 0

Multiply (-3 + 4m) * (-5 + 5m)
(-3(-5 + 5m) + 4m * (-5 + 5m)) = 0
((-5 * -3 + 5m * -3) + 4m * (-5 + 5m)) = 0
((15 + -15m) + 4m * (-5 + 5m)) = 0
(15 + -15m + (-5 * 4m + 5m * 4m)) = 0
(15 + -15m + (-20m + 20m2)) = 0

Combine like terms: -15m + -20m = -35m
(15 + -35m + 20m2) = 0

Solving
15 + -35m + 20m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5'.
5(3 + -7m + 4m2) = 0

Factor a trinomial.
5((3 + -4m)(1 + -1m)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(3 + -4m)' equal to zero and attempt to solve: Simplifying 3 + -4m = 0 Solving 3 + -4m = 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 + -4m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4m = 0 + -3 -4m = 0 + -3 Combine like terms: 0 + -3 = -3 -4m = -3 Divide each side by '-4'. m = 0.75 Simplifying m = 0.75

Subproblem 2

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

Solution

m = {0.75, 1}

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