2x^2+175x+3750=8568

Solution for 2x^2+175x+3750=8568 equation:

Simplifying
2x2 + 175x + 3750 = 8568

Reorder the terms:
3750 + 175x + 2x2 = 8568

Solving
3750 + 175x + 2x2 = 8568

Solving for variable 'x'.

Reorder the terms:
3750 + -8568 + 175x + 2x2 = 8568 + -8568

Combine like terms: 3750 + -8568 = -4818
-4818 + 175x + 2x2 = 8568 + -8568

Combine like terms: 8568 + -8568 = 0
-4818 + 175x + 2x2 = 0

Factor a trinomial.
(-219 + -2x)(22 + -1x) = 0

Subproblem 1
Set the factor '(-219 + -2x)' equal to zero and attempt to solve:

Simplifying
-219 + -2x = 0

Solving
-219 + -2x = 0

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

Add '219' to each side of the equation.
-219 + 219 + -2x = 0 + 219

Combine like terms: -219 + 219 = 0
0 + -2x = 0 + 219
-2x = 0 + 219

Combine like terms: 0 + 219 = 219
-2x = 219

Divide each side by '-2'.
x = -109.5

Simplifying
x = -109.5
Subproblem 2
Set the factor '(22 + -1x)' equal to zero and attempt to solve:

Simplifying
22 + -1x = 0

Solving
22 + -1x = 0

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 0 + -22
-1x = 0 + -22

Combine like terms: 0 + -22 = -22
-1x = -22

Divide each side by '-1'.
x = 22

Simplifying
x = 22
Solution
x = {-109.5, 22}