x^2-5x+70=9570

Solution for x^2-5x+70=9570 equation:

Simplifying
x2 + -5x + 70 = 9570

Reorder the terms:
70 + -5x + x2 = 9570

Solving
70 + -5x + x2 = 9570

Solving for variable 'x'.

Reorder the terms:
70 + -9570 + -5x + x2 = 9570 + -9570

Combine like terms: 70 + -9570 = -9500
-9500 + -5x + x2 = 9570 + -9570

Combine like terms: 9570 + -9570 = 0
-9500 + -5x + x2 = 0

Factor a trinomial.
(-95 + -1x)(100 + -1x) = 0

Subproblem 1
Set the factor '(-95 + -1x)' equal to zero and attempt to solve:

Simplifying
-95 + -1x = 0

Solving
-95 + -1x = 0

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

Add '95' to each side of the equation.
-95 + 95 + -1x = 0 + 95

Combine like terms: -95 + 95 = 0
0 + -1x = 0 + 95
-1x = 0 + 95

Combine like terms: 0 + 95 = 95
-1x = 95

Divide each side by '-1'.
x = -95

Simplifying
x = -95
Subproblem 2
Set the factor '(100 + -1x)' equal to zero and attempt to solve:

Simplifying
100 + -1x = 0

Solving
100 + -1x = 0

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

Add '-100' to each side of the equation.
100 + -100 + -1x = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -1x = 0 + -100
-1x = 0 + -100

Combine like terms: 0 + -100 = -100
-1x = -100

Divide each side by '-1'.
x = 100

Simplifying
x = 100
Solution
x = {-95, 100}