90=x^2-27x

Solution for 90=x^2-27x equation:

Simplifying
90 = x2 + -27x

Reorder the terms:
90 = -27x + x2

Solving
90 = -27x + x2

Solving for variable 'x'.

Reorder the terms:
90 + 27x + -1x2 = -27x + 27x + x2 + -1x2

Combine like terms: -27x + 27x = 0
90 + 27x + -1x2 = 0 + x2 + -1x2
90 + 27x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
90 + 27x + -1x2 = 0

Factor a trinomial.
(30 + -1x)(3 + x) = 0

Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {30, -3}