x^2+25x+60=10+10x

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Solution for x^2+25x+60=10+10x equation: 


Simplifying
x2 + 25x + 60 = 10 + 10x

Reorder the terms:
60 + 25x + x2 = 10 + 10x

Solving
60 + 25x + x2 = 10 + 10x

Solving for variable 'x'.

Reorder the terms:
60 + -10 + 25x + -10x + x2 = 10 + 10x + -10 + -10x

Combine like terms: 60 + -10 = 50
50 + 25x + -10x + x2 = 10 + 10x + -10 + -10x

Combine like terms: 25x + -10x = 15x
50 + 15x + x2 = 10 + 10x + -10 + -10x

Reorder the terms:
50 + 15x + x2 = 10 + -10 + 10x + -10x

Combine like terms: 10 + -10 = 0
50 + 15x + x2 = 0 + 10x + -10x
50 + 15x + x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
50 + 15x + x2 = 0

Factor a trinomial.
(10 + x)(5 + x) = 0


Subproblem 1
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 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 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-10, -5}

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