m^2=-48+14m

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Solution for m^2=-48+14m equation:


Simplifying
m2 = -48 + 14m

Solving
m2 = -48 + 14m

Solving for variable 'm'.

Reorder the terms:
48 + -14m + m2 = -48 + 14m + 48 + -14m

Reorder the terms:
48 + -14m + m2 = -48 + 48 + 14m + -14m

Combine like terms: -48 + 48 = 0
48 + -14m + m2 = 0 + 14m + -14m
48 + -14m + m2 = 14m + -14m

Combine like terms: 14m + -14m = 0
48 + -14m + m2 = 0

Factor a trinomial.
(6 + -1m)(8 + -1m) = 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 '(8 + -1m)' equal to zero and attempt to solve: Simplifying 8 + -1m = 0 Solving 8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8

Solution

m = {6, 8}

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