4x^2-90x+296=0

Solution for 4x^2-90x+296=0 equation:

Simplifying
4x2 + -90x + 296 = 0

Reorder the terms:
296 + -90x + 4x2 = 0

Solving
296 + -90x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(148 + -45x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(37 + -2x)) = 0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(37 + -2x)' equal to zero and attempt to solve:

Simplifying
37 + -2x = 0

Solving
37 + -2x = 0

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

Add '-37' to each side of the equation.
37 + -37 + -2x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -2x = 0 + -37
-2x = 0 + -37

Combine like terms: 0 + -37 = -37
-2x = -37

Divide each side by '-2'.
x = 18.5

Simplifying
x = 18.5
Solution
x = {4, 18.5}