4x^2+160x+1600=1156

Solution for 4x^2+160x+1600=1156 equation:

Simplifying
4x2 + 160x + 1600 = 1156

Reorder the terms:
1600 + 160x + 4x2 = 1156

Solving
1600 + 160x + 4x2 = 1156

Solving for variable 'x'.

Reorder the terms:
1600 + -1156 + 160x + 4x2 = 1156 + -1156

Combine like terms: 1600 + -1156 = 444
444 + 160x + 4x2 = 1156 + -1156

Combine like terms: 1156 + -1156 = 0
444 + 160x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(111 + 40x + x2) = 0

Factor a trinomial.
4((37 + x)(3 + x)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(37 + x)' equal to zero and attempt to solve:

Simplifying
37 + x = 0

Solving
37 + x = 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 + x = 0 + -37

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

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

Simplifying
x = -37
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-37, -3}