(x^2+3x)+(-2x+70)=180

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Solution for (x^2+3x)+(-2x+70)=180 equation: 


Simplifying
(x2 + 3x) + (-2x + 70) = 180

Reorder the terms:
(3x + x2) + (-2x + 70) = 180

Remove parenthesis around (3x + x2)
3x + x2 + (-2x + 70) = 180

Reorder the terms:
3x + x2 + (70 + -2x) = 180

Remove parenthesis around (70 + -2x)
3x + x2 + 70 + -2x = 180

Reorder the terms:
70 + 3x + -2x + x2 = 180

Combine like terms: 3x + -2x = 1x
70 + 1x + x2 = 180

Solving
70 + 1x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
70 + -180 + 1x + x2 = 180 + -180

Combine like terms: 70 + -180 = -110
-110 + 1x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-110 + 1x + x2 = 0

Factor a trinomial.
(-11 + -1x)(10 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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 = {-11, 10}

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