8470=x^2+25x+70

Solution for 8470=x^2+25x+70 equation:

Simplifying
8470 = x2 + 25x + 70

Reorder the terms:
8470 = 70 + 25x + x2

Solving
8470 = 70 + 25x + x2

Solving for variable 'x'.

Combine like terms: 8470 + -70 = 8400
8400 + -25x + -1x2 = 70 + 25x + x2 + -70 + -25x + -1x2

Reorder the terms:
8400 + -25x + -1x2 = 70 + -70 + 25x + -25x + x2 + -1x2

Combine like terms: 70 + -70 = 0
8400 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2
8400 + -25x + -1x2 = 25x + -25x + x2 + -1x2

Combine like terms: 25x + -25x = 0
8400 + -25x + -1x2 = 0 + x2 + -1x2
8400 + -25x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8400 + -25x + -1x2 = 0

Factor a trinomial.
(80 + -1x)(105 + x) = 0

Subproblem 1
Set the factor '(80 + -1x)' equal to zero and attempt to solve:

Simplifying
80 + -1x = 0

Solving
80 + -1x = 0

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

Add '-80' to each side of the equation.
80 + -80 + -1x = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -1x = 0 + -80
-1x = 0 + -80

Combine like terms: 0 + -80 = -80
-1x = -80

Divide each side by '-1'.
x = 80

Simplifying
x = 80
Subproblem 2
Set the factor '(105 + x)' equal to zero and attempt to solve:

Simplifying
105 + x = 0

Solving
105 + x = 0

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

Add '-105' to each side of the equation.
105 + -105 + x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + x = 0 + -105
x = 0 + -105

Combine like terms: 0 + -105 = -105
x = -105

Simplifying
x = -105
Solution
x = {80, -105}