150=30x+60x(3-x)

Solution for 150=30x+60x(3-x) equation:

Simplifying
150 = 30x + 60x(3 + -1x)
150 = 30x + (3 * 60x + -1x * 60x)
150 = 30x + (180x + -60x2)

Combine like terms: 30x + 180x = 210x
150 = 210x + -60x2

Solving
150 = 210x + -60x2

Solving for variable 'x'.

Reorder the terms:
150 + -210x + 60x2 = 210x + -210x + -60x2 + 60x2

Combine like terms: 210x + -210x = 0
150 + -210x + 60x2 = 0 + -60x2 + 60x2
150 + -210x + 60x2 = -60x2 + 60x2

Combine like terms: -60x2 + 60x2 = 0
150 + -210x + 60x2 = 0

Factor out the Greatest Common Factor (GCF), '30'.
30(5 + -7x + 2x2) = 0

Factor a trinomial.
30((1 + -1x)(5 + -2x)) = 0

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1, 2.5}