4x^2+160x+1600=900

Solution for 4x^2+160x+1600=900 equation:

Simplifying
4x2 + 160x + 1600 = 900

Reorder the terms:
1600 + 160x + 4x2 = 900

Solving
1600 + 160x + 4x2 = 900

Solving for variable 'x'.

Reorder the terms:
1600 + -900 + 160x + 4x2 = 900 + -900

Combine like terms: 1600 + -900 = 700
700 + 160x + 4x2 = 900 + -900

Combine like terms: 900 + -900 = 0
700 + 160x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(175 + 40x + x2) = 0

Factor a trinomial.
4((35 + x)(5 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(35 + x)' equal to zero and attempt to solve:

Simplifying
35 + x = 0

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

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

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

Simplifying
x = -35
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-35, -5}