x(x-9)=70

Solution for x(x-9)=70 equation:

Simplifying
x(x + -9) = 70

Reorder the terms:
x(-9 + x) = 70
(-9 * x + x * x) = 70
(-9x + x2) = 70

Solving
-9x + x2 = 70

Solving for variable 'x'.

Reorder the terms:
-70 + -9x + x2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + -9x + x2 = 0

Factor a trinomial.
(-5 + -1x)(14 + -1x) = 0

Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5
Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-5, 14}