m^2+3m=70

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Solution for m^2+3m=70 equation:


Simplifying
m2 + 3m = 70

Reorder the terms:
3m + m2 = 70

Solving
3m + m2 = 70

Solving for variable 'm'.

Reorder the terms:
-70 + 3m + m2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 3m + m2 = 0

Factor a trinomial.
(-10 + -1m)(7 + -1m) = 0

Subproblem 1

Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10

Subproblem 2

Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {-10, 7}

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