(2x^2+6x-5)=85+(x^2+1)

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Solution for (2x^2+6x-5)=85+(x^2+1) equation: 


Simplifying
(2x2 + 6x + -5) = 85 + (x2 + 1)

Reorder the terms:
(-5 + 6x + 2x2) = 85 + (x2 + 1)

Remove parenthesis around (-5 + 6x + 2x2)
-5 + 6x + 2x2 = 85 + (x2 + 1)

Reorder the terms:
-5 + 6x + 2x2 = 85 + (1 + x2)

Remove parenthesis around (1 + x2)
-5 + 6x + 2x2 = 85 + 1 + x2

Combine like terms: 85 + 1 = 86
-5 + 6x + 2x2 = 86 + x2

Solving
-5 + 6x + 2x2 = 86 + x2

Solving for variable 'x'.

Reorder the terms:
-5 + -86 + 6x + 2x2 + -1x2 = 86 + x2 + -86 + -1x2

Combine like terms: -5 + -86 = -91
-91 + 6x + 2x2 + -1x2 = 86 + x2 + -86 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-91 + 6x + 1x2 = 86 + x2 + -86 + -1x2

Reorder the terms:
-91 + 6x + 1x2 = 86 + -86 + x2 + -1x2

Combine like terms: 86 + -86 = 0
-91 + 6x + 1x2 = 0 + x2 + -1x2
-91 + 6x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-91 + 6x + 1x2 = 0

Factor a trinomial.
(-13 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-13 + -1x)' equal to zero and attempt to solve:

Simplifying
-13 + -1x = 0

Solving
-13 + -1x = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = 0 + 13
-1x = 0 + 13

Combine like terms: 0 + 13 = 13
-1x = 13

Divide each side by '-1'.
x = -13

Simplifying
x = -13

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 = {-13, 7}

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