4x^2=20x+875

Solution for 4x^2=20x+875 equation:

Simplifying
4x2 = 20x + 875

Reorder the terms:
4x2 = 875 + 20x

Solving
4x2 = 875 + 20x

Solving for variable 'x'.

Reorder the terms:
-875 + -20x + 4x2 = 875 + 20x + -875 + -20x

Reorder the terms:
-875 + -20x + 4x2 = 875 + -875 + 20x + -20x

Combine like terms: 875 + -875 = 0
-875 + -20x + 4x2 = 0 + 20x + -20x
-875 + -20x + 4x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-875 + -20x + 4x2 = 0

Factor a trinomial.
(-25 + -2x)(35 + -2x) = 0

Subproblem 1
Set the factor '(-25 + -2x)' equal to zero and attempt to solve:

Simplifying
-25 + -2x = 0

Solving
-25 + -2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = 0 + 25
-2x = 0 + 25

Combine like terms: 0 + 25 = 25
-2x = 25

Divide each side by '-2'.
x = -12.5

Simplifying
x = -12.5
Subproblem 2
Set the factor '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 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 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5
Solution
x = {-12.5, 17.5}