4-32x=17x^2

Solution for 4-32x=17x^2 equation:

Simplifying
4 + -32x = 17x2

Solving
4 + -32x = 17x2

Solving for variable 'x'.

Combine like terms: 17x2 + -17x2 = 0
4 + -32x + -17x2 = 0

Factor a trinomial.
(2 + -17x)(2 + x) = 0

Subproblem 1
Set the factor '(2 + -17x)' equal to zero and attempt to solve:

Simplifying
2 + -17x = 0

Solving
2 + -17x = 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 + -17x = 0 + -2

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

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

Divide each side by '-17'.
x = 0.1176470588

Simplifying
x = 0.1176470588
Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {0.1176470588, -2}