60=8x^2+157x

Solution for 60=8x^2+157x equation:

Simplifying
60 = 8x2 + 157x

Reorder the terms:
60 = 157x + 8x2

Solving
60 = 157x + 8x2

Solving for variable 'x'.

Reorder the terms:
60 + -157x + -8x2 = 157x + -157x + 8x2 + -8x2

Combine like terms: 157x + -157x = 0
60 + -157x + -8x2 = 0 + 8x2 + -8x2
60 + -157x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
60 + -157x + -8x2 = 0

Factor a trinomial.
(3 + -8x)(20 + x) = 0

Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve:

Simplifying
20 + x = 0

Solving
20 + x = 0

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

Add '-20' to each side of the equation.
20 + -20 + x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + x = 0 + -20
x = 0 + -20

Combine like terms: 0 + -20 = -20
x = -20

Simplifying
x = -20
Solution
x = {0.375, -20}