(x+10)+(x^2-4x+10)=90

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Solution for (x+10)+(x^2-4x+10)=90 equation: 


Simplifying
(x + 10) + (x2 + -4x + 10) = 90

Reorder the terms:
(10 + x) + (x2 + -4x + 10) = 90

Remove parenthesis around (10 + x)
10 + x + (x2 + -4x + 10) = 90

Reorder the terms:
10 + x + (10 + -4x + x2) = 90

Remove parenthesis around (10 + -4x + x2)
10 + x + 10 + -4x + x2 = 90

Reorder the terms:
10 + 10 + x + -4x + x2 = 90

Combine like terms: 10 + 10 = 20
20 + x + -4x + x2 = 90

Combine like terms: x + -4x = -3x
20 + -3x + x2 = 90

Solving
20 + -3x + x2 = 90

Solving for variable 'x'.

Reorder the terms:
20 + -90 + -3x + x2 = 90 + -90

Combine like terms: 20 + -90 = -70
-70 + -3x + x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-70 + -3x + x2 = 0

Factor a trinomial.
(-7 + -1x)(10 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-7, 10}

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