(5m+6)(10m-8)=0

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Solution for (5m+6)(10m-8)=0 equation:


Simplifying
(5m + 6)(10m + -8) = 0

Reorder the terms:
(6 + 5m)(10m + -8) = 0

Reorder the terms:
(6 + 5m)(-8 + 10m) = 0

Multiply (6 + 5m) * (-8 + 10m)
(6(-8 + 10m) + 5m * (-8 + 10m)) = 0
((-8 * 6 + 10m * 6) + 5m * (-8 + 10m)) = 0
((-48 + 60m) + 5m * (-8 + 10m)) = 0
(-48 + 60m + (-8 * 5m + 10m * 5m)) = 0
(-48 + 60m + (-40m + 50m2)) = 0

Combine like terms: 60m + -40m = 20m
(-48 + 20m + 50m2) = 0

Solving
-48 + 20m + 50m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + 10m + 25m2) = 0

Factor a trinomial.
2((-6 + -5m)(4 + -5m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-6 + -5m)' equal to zero and attempt to solve: Simplifying -6 + -5m = 0 Solving -6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 0 + 6 -5m = 0 + 6 Combine like terms: 0 + 6 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2

Subproblem 2

Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8

Solution

m = {-1.2, 0.8}

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