7m^2-2m-10=7m

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Solution for 7m^2-2m-10=7m equation:


Simplifying
7m2 + -2m + -10 = 7m

Reorder the terms:
-10 + -2m + 7m2 = 7m

Solving
-10 + -2m + 7m2 = 7m

Solving for variable 'm'.

Reorder the terms:
-10 + -2m + -7m + 7m2 = 7m + -7m

Combine like terms: -2m + -7m = -9m
-10 + -9m + 7m2 = 7m + -7m

Combine like terms: 7m + -7m = 0
-10 + -9m + 7m2 = 0

Factor a trinomial.
(-5 + -7m)(2 + -1m) = 0

Subproblem 1

Set the factor '(-5 + -7m)' equal to zero and attempt to solve: Simplifying -5 + -7m = 0 Solving -5 + -7m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7m = 0 + 5 -7m = 0 + 5 Combine like terms: 0 + 5 = 5 -7m = 5 Divide each side by '-7'. m = -0.7142857143 Simplifying m = -0.7142857143

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 = {-0.7142857143, 2}

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