2x^2-90x=5600

Solution for 2x^2-90x=5600 equation:

Simplifying
2x2 + -90x = 5600

Reorder the terms:
-90x + 2x2 = 5600

Solving
-90x + 2x2 = 5600

Solving for variable 'x'.

Reorder the terms:
-5600 + -90x + 2x2 = 5600 + -5600

Combine like terms: 5600 + -5600 = 0
-5600 + -90x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2800 + -45x + x2) = 0

Factor a trinomial.
2((-35 + -1x)(80 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-35 + -1x)' equal to zero and attempt to solve:

Simplifying
-35 + -1x = 0

Solving
-35 + -1x = 0

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

Add '35' to each side of the equation.
-35 + 35 + -1x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 0 + 35
-1x = 0 + 35

Combine like terms: 0 + 35 = 35
-1x = 35

Divide each side by '-1'.
x = -35

Simplifying
x = -35
Subproblem 2
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Solution
x = {-35, 80}