(32-2x)(60x-2x^2)=0

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Solution for (32-2x)(60x-2x^2)=0 equation: 


Simplifying
(32 + -2x)(60x + -2x2) = 0

Multiply (32 + -2x) * (60x + -2x2)
(32(60x + -2x2) + -2x * (60x + -2x2)) = 0
((60x * 32 + -2x2 * 32) + -2x * (60x + -2x2)) = 0
((1920x + -64x2) + -2x * (60x + -2x2)) = 0
(1920x + -64x2 + (60x * -2x + -2x2 * -2x)) = 0
(1920x + -64x2 + (-120x2 + 4x3)) = 0

Combine like terms: -64x2 + -120x2 = -184x2
(1920x + -184x2 + 4x3) = 0

Solving
1920x + -184x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(480 + -46x + x2) = 0

Factor a trinomial.
4x((16 + -1x)(30 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

Subproblem 3
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
Solution
x = {0, 16, 30}

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