3m^2+8m-53=7

Solution for 3m^2+8m-53=7 equation:

Simplifying
3m2 + 8m + -53 = 7

Reorder the terms:
-53 + 8m + 3m2 = 7

Solving
-53 + 8m + 3m2 = 7

Solving for variable 'm'.

Reorder the terms:
-53 + -7 + 8m + 3m2 = 7 + -7

Combine like terms: -53 + -7 = -60
-60 + 8m + 3m2 = 7 + -7

Combine like terms: 7 + -7 = 0
-60 + 8m + 3m2 = 0

Factor a trinomial.
(-6 + -1m)(10 + -3m) = 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 '(10 + -3m)' equal to zero and attempt to solve:

Simplifying
10 + -3m = 0

Solving
10 + -3m = 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 + -3m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3m = 0 + -10
-3m = 0 + -10

Combine like terms: 0 + -10 = -10
-3m = -10

Divide each side by '-3'.
m = 3.333333333

Simplifying
m = 3.333333333
Solution
m = {-6, 3.333333333}