8m^2+2m-3=7

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

Simplifying
8m2 + 2m + -3 = 7

Reorder the terms:
-3 + 2m + 8m2 = 7

Solving
-3 + 2m + 8m2 = 7

Solving for variable 'm'.

Reorder the terms:
-3 + -7 + 2m + 8m2 = 7 + -7

Combine like terms: -3 + -7 = -10
-10 + 2m + 8m2 = 7 + -7

Combine like terms: 7 + -7 = 0
-10 + 2m + 8m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + m + 4m2) = 0

Factor a trinomial.
2((-5 + -4m)(1 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -4m)' equal to zero and attempt to solve:

Simplifying
-5 + -4m = 0

Solving
-5 + -4m = 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 + -4m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4m = 0 + 5
-4m = 0 + 5

Combine like terms: 0 + 5 = 5
-4m = 5

Divide each side by '-4'.
m = -1.25

Simplifying
m = -1.25
Subproblem 2
Set the factor '(1 + -1m)' equal to zero and attempt to solve:

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {-1.25, 1}