7m^2-30=-37m

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Solution for 7m^2-30=-37m equation:


Simplifying
7m2 + -30 = -37m

Reorder the terms:
-30 + 7m2 = -37m

Solving
-30 + 7m2 = -37m

Solving for variable 'm'.

Reorder the terms:
-30 + 37m + 7m2 = -37m + 37m

Combine like terms: -37m + 37m = 0
-30 + 37m + 7m2 = 0

Factor a trinomial.
(-6 + -1m)(5 + -7m) = 0

Subproblem 1

Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 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 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6

Subproblem 2

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

Solution

m = {-6, 0.7142857143}

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