3m(7m-8)=36

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Solution for 3m(7m-8)=36 equation:


Simplifying
3m(7m + -8) = 36

Reorder the terms:
3m(-8 + 7m) = 36
(-8 * 3m + 7m * 3m) = 36
(-24m + 21m2) = 36

Solving
-24m + 21m2 = 36

Solving for variable 'm'.

Reorder the terms:
-36 + -24m + 21m2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -24m + 21m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-12 + -8m + 7m2) = 0

Factor a trinomial.
3((-6 + -7m)(2 + -1m)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + -7m)' equal to zero and attempt to solve: Simplifying -6 + -7m = 0 Solving -6 + -7m = 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 + -7m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7m = 0 + 6 -7m = 0 + 6 Combine like terms: 0 + 6 = 6 -7m = 6 Divide each side by '-7'. m = -0.8571428571 Simplifying m = -0.8571428571

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 = {-0.8571428571, 2}

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