x^2+(x^2+28x+196)=1156

Solution for x^2+(x^2+28x+196)=1156 equation:

Simplifying
x2 + (x2 + 28x + 196) = 1156

Reorder the terms:
x2 + (196 + 28x + x2) = 1156

Remove parenthesis around (196 + 28x + x2)
x2 + 196 + 28x + x2 = 1156

Reorder the terms:
196 + 28x + x2 + x2 = 1156

Combine like terms: x2 + x2 = 2x2
196 + 28x + 2x2 = 1156

Solving
196 + 28x + 2x2 = 1156

Solving for variable 'x'.

Reorder the terms:
196 + -1156 + 28x + 2x2 = 1156 + -1156

Combine like terms: 196 + -1156 = -960
-960 + 28x + 2x2 = 1156 + -1156

Combine like terms: 1156 + -1156 = 0
-960 + 28x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-480 + 14x + x2) = 0

Factor a trinomial.
2((-30 + -1x)(16 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve:

Simplifying
-30 + -1x = 0

Solving
-30 + -1x = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = 0 + 30
-1x = 0 + 30

Combine like terms: 0 + 30 = 30
-1x = 30

Divide each side by '-1'.
x = -30

Simplifying
x = -30
Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {-30, 16}