=7m(8m-7)

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


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

Reorder the terms:
0 = 7m(-7 + 8m)
0 = (-7 * 7m + 8m * 7m)
0 = (-49m + 56m2)

Solving
0 = -49m + 56m2

Solving for variable 'm'.
Remove the zero:
49m + -56m2 = -49m + 56m2 + 49m + -56m2

Reorder the terms:
49m + -56m2 = -49m + 49m + 56m2 + -56m2

Combine like terms: -49m + 49m = 0
49m + -56m2 = 0 + 56m2 + -56m2
49m + -56m2 = 56m2 + -56m2

Combine like terms: 56m2 + -56m2 = 0
49m + -56m2 = 0

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

Ignore the factor 7.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

Move all terms containing m to the left, all other terms to the right.

Simplifying
m = 0

Subproblem 2
Set the factor '(7 + -8m)' equal to zero and attempt to solve:

Simplifying
7 + -8m = 0

Solving
7 + -8m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -8m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8m = 0 + -7
-8m = 0 + -7

Combine like terms: 0 + -7 = -7
-8m = -7

Divide each side by '-8'.
m = 0.875

Simplifying
m = 0.875
Solution
m = {0, 0.875}

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