m^2+10m+25=49

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Solution for m^2+10m+25=49 equation:


Simplifying
m2 + 10m + 25 = 49

Reorder the terms:
25 + 10m + m2 = 49

Solving
25 + 10m + m2 = 49

Solving for variable 'm'.

Reorder the terms:
25 + -49 + 10m + m2 = 49 + -49

Combine like terms: 25 + -49 = -24
-24 + 10m + m2 = 49 + -49

Combine like terms: 49 + -49 = 0
-24 + 10m + m2 = 0

Factor a trinomial.
(-12 + -1m)(2 + -1m) = 0

Subproblem 1

Set the factor '(-12 + -1m)' equal to zero and attempt to solve: Simplifying -12 + -1m = 0 Solving -12 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1m = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = 0 + 12 -1m = 0 + 12 Combine like terms: 0 + 12 = 12 -1m = 12 Divide each side by '-1'. m = -12 Simplifying m = -12

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 = {-12, 2}

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