x+2+2x+1+x^2-3x+x-5=70

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Solution for x+2+2x+1+x^2-3x+x-5=70 equation: 


Simplifying
x + 2 + 2x + 1 + x2 + -3x + x + -5 = 70

Reorder the terms:
2 + 1 + -5 + x + 2x + -3x + x + x2 = 70

Combine like terms: 2 + 1 = 3
3 + -5 + x + 2x + -3x + x + x2 = 70

Combine like terms: 3 + -5 = -2
-2 + x + 2x + -3x + x + x2 = 70

Combine like terms: x + 2x = 3x
-2 + 3x + -3x + x + x2 = 70

Combine like terms: 3x + -3x = 0
-2 + 0 + x + x2 = 70
-2 + x + x2 = 70

Solving
-2 + x + x2 = 70

Solving for variable 'x'.

Reorder the terms:
-2 + -70 + x + x2 = 70 + -70

Combine like terms: -2 + -70 = -72
-72 + x + x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-72 + x + x2 = 0

Factor a trinomial.
(-9 + -1x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 2
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
Solution
x = {-9, 8}

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