8x^2=-2+17x

Solution for 8x^2=-2+17x equation:

Simplifying
8x2 = -2 + 17x

Solving
8x2 = -2 + 17x

Solving for variable 'x'.

Reorder the terms:
2 + -17x + 8x2 = -2 + 17x + 2 + -17x

Reorder the terms:
2 + -17x + 8x2 = -2 + 2 + 17x + -17x

Combine like terms: -2 + 2 = 0
2 + -17x + 8x2 = 0 + 17x + -17x
2 + -17x + 8x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
2 + -17x + 8x2 = 0

Factor a trinomial.
(1 + -8x)(2 + -1x) = 0

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

Simplifying
1 + -8x = 0

Solving
1 + -8x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.125, 2}