(5x-12)(5x)(2x)=

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Solution for (5x-12)(5x)(2x)= equation:


Simplifying
(5x + -12)(5x)(2x) = 0

Reorder the terms:
(-12 + 5x)(5x)(2x) = 0

Remove parenthesis around (5x)
(-12 + 5x) * 5x(2x) = 0

Remove parenthesis around (2x)
(-12 + 5x) * 5x * 2x = 0

Reorder the terms for easier multiplication:
5 * 2x * x(-12 + 5x) = 0

Multiply 5 * 2
10x * x(-12 + 5x) = 0

Multiply x * x
10x2(-12 + 5x) = 0
(-12 * 10x2 + 5x * 10x2) = 0
(-120x2 + 50x3) = 0

Solving
-120x2 + 50x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-12 + 5x) = 0

Ignore the factor 10.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-12 + 5x)' equal to zero and attempt to solve:

Simplifying
-12 + 5x = 0

Solving
-12 + 5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + 5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 0 + 12
5x = 0 + 12

Combine like terms: 0 + 12 = 12
5x = 12

Divide each side by '5'.
x = 2.4

Simplifying
x = 2.4
Solution
x = {0, 2.4}

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