2x(30-5x)=90

Solution for 2x(30-5x)=90 equation:

Simplifying
2x(30 + -5x) = 90
(30 * 2x + -5x * 2x) = 90
(60x + -10x2) = 90

Solving
60x + -10x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 60x + -10x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 60x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-9 + 6x + -1x2) = 0

Factor a trinomial.
10((-3 + x)(3 + -1x)) = 0

Ignore the factor 10.
Subproblem 1
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
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

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