70=x^2+9x

Solution for 70=x^2+9x equation:

Simplifying
70 = x2 + 9x

Reorder the terms:
70 = 9x + x2

Solving
70 = 9x + x2

Solving for variable 'x'.

Reorder the terms:
70 + -9x + -1x2 = 9x + -9x + x2 + -1x2

Combine like terms: 9x + -9x = 0
70 + -9x + -1x2 = 0 + x2 + -1x2
70 + -9x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
70 + -9x + -1x2 = 0

Factor a trinomial.
(5 + -1x)(14 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 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 + x = 0 + -14

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

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

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