(x^2+30)+(6x-10)=180

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Solution for (x^2+30)+(6x-10)=180 equation: 


Simplifying
(x2 + 30) + (6x + -10) = 180

Reorder the terms:
(30 + x2) + (6x + -10) = 180

Remove parenthesis around (30 + x2)
30 + x2 + (6x + -10) = 180

Reorder the terms:
30 + x2 + (-10 + 6x) = 180

Remove parenthesis around (-10 + 6x)
30 + x2 + -10 + 6x = 180

Reorder the terms:
30 + -10 + 6x + x2 = 180

Combine like terms: 30 + -10 = 20
20 + 6x + x2 = 180

Solving
20 + 6x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
20 + -180 + 6x + x2 = 180 + -180

Combine like terms: 20 + -180 = -160
-160 + 6x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-160 + 6x + x2 = 0

Factor a trinomial.
(-16 + -1x)(10 + -1x) = 0


Subproblem 1
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

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 = {-16, 10}

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