x^2+3x+10x+1+5x+4=180

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Solution for x^2+3x+10x+1+5x+4=180 equation: 


Simplifying
x2 + 3x + 10x + 1 + 5x + 4 = 180

Reorder the terms:
1 + 4 + 3x + 10x + 5x + x2 = 180

Combine like terms: 1 + 4 = 5
5 + 3x + 10x + 5x + x2 = 180

Combine like terms: 3x + 10x = 13x
5 + 13x + 5x + x2 = 180

Combine like terms: 13x + 5x = 18x
5 + 18x + x2 = 180

Solving
5 + 18x + x2 = 180

Solving for variable 'x'.

Reorder the terms:
5 + -180 + 18x + x2 = 180 + -180

Combine like terms: 5 + -180 = -175
-175 + 18x + x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-175 + 18x + x2 = 0

Factor a trinomial.
(-25 + -1x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-25 + -1x)' equal to zero and attempt to solve:

Simplifying
-25 + -1x = 0

Solving
-25 + -1x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1x = 0 + 25
-1x = 0 + 25

Combine like terms: 0 + 25 = 25
-1x = 25

Divide each side by '-1'.
x = -25

Simplifying
x = -25

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 = {-25, 7}

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