x(30-2x)(48-2x)=0

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Solution for x(30-2x)(48-2x)=0 equation:


Simplifying
x(30 + -2x)(48 + -2x) = 0

Multiply (30 + -2x) * (48 + -2x)
x(30(48 + -2x) + -2x * (48 + -2x)) = 0
x((48 * 30 + -2x * 30) + -2x * (48 + -2x)) = 0
x((1440 + -60x) + -2x * (48 + -2x)) = 0
x(1440 + -60x + (48 * -2x + -2x * -2x)) = 0
x(1440 + -60x + (-96x + 4x2)) = 0

Combine like terms: -60x + -96x = -156x
x(1440 + -156x + 4x2) = 0
(1440 * x + -156x * x + 4x2 * x) = 0
(1440x + -156x2 + 4x3) = 0

Solving
1440x + -156x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(360 + -39x + x2) = 0

Factor a trinomial.
4x((15 + -1x)(24 + -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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15

Subproblem 3

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Solution

x = {0, 15, 24}

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