x^2+70x+1200=600

Solution for x^2+70x+1200=600 equation:

Simplifying
x2 + 70x + 1200 = 600

Reorder the terms:
1200 + 70x + x2 = 600

Solving
1200 + 70x + x2 = 600

Solving for variable 'x'.

Reorder the terms:
1200 + -600 + 70x + x2 = 600 + -600

Combine like terms: 1200 + -600 = 600
600 + 70x + x2 = 600 + -600

Combine like terms: 600 + -600 = 0
600 + 70x + x2 = 0

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

Subproblem 1
Set the factor '(60 + x)' equal to zero and attempt to solve:

Simplifying
60 + x = 0

Solving
60 + x = 0

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

Add '-60' to each side of the equation.
60 + -60 + x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + x = 0 + -60
x = 0 + -60

Combine like terms: 0 + -60 = -60
x = -60

Simplifying
x = -60
Subproblem 2
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
Solution
x = {-60, -10}