7m^2-15m+16=8

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Solution for 7m^2-15m+16=8 equation: 


Simplifying
7m2 + -15m + 16 = 8

Reorder the terms:
16 + -15m + 7m2 = 8

Solving
16 + -15m + 7m2 = 8

Solving for variable 'm'.

Reorder the terms:
16 + -8 + -15m + 7m2 = 8 + -8

Combine like terms: 16 + -8 = 8
8 + -15m + 7m2 = 8 + -8

Combine like terms: 8 + -8 = 0
8 + -15m + 7m2 = 0

Factor a trinomial.
(1 + -1m)(8 + -7m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -7m)' equal to zero and attempt to solve:

Simplifying
8 + -7m = 0

Solving
8 + -7m = 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 + -7m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7m = 0 + -8
-7m = 0 + -8

Combine like terms: 0 + -8 = -8
-7m = -8

Divide each side by '-7'.
m = 1.142857143

Simplifying
m = 1.142857143
Solution
m = {1, 1.142857143}

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