(x^2+4)+(x+30)=90

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Solution for (x^2+4)+(x+30)=90 equation: 


Simplifying
(x2 + 4) + (x + 30) = 90

Reorder the terms:
(4 + x2) + (x + 30) = 90

Remove parenthesis around (4 + x2)
4 + x2 + (x + 30) = 90

Reorder the terms:
4 + x2 + (30 + x) = 90

Remove parenthesis around (30 + x)
4 + x2 + 30 + x = 90

Reorder the terms:
4 + 30 + x + x2 = 90

Combine like terms: 4 + 30 = 34
34 + x + x2 = 90

Solving
34 + x + x2 = 90

Solving for variable 'x'.

Reorder the terms:
34 + -90 + x + x2 = 90 + -90

Combine like terms: 34 + -90 = -56
-56 + x + x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-56 + x + x2 = 0

Factor a trinomial.
(-8 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-8, 7}

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