(3x)(5x-48)=

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Solution for (3x)(5x-48)= equation:


Simplifying
(3x)(5x + -48) = 0

Remove parenthesis around (3x)
3x(5x + -48) = 0

Reorder the terms:
3x(-48 + 5x) = 0
(-48 * 3x + 5x * 3x) = 0
(-144x + 15x2) = 0

Solving
-144x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-48 + 5x) = 0

Ignore the factor 3.

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 '(-48 + 5x)' equal to zero and attempt to solve: Simplifying -48 + 5x = 0 Solving -48 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 5x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 0 + 48 5x = 0 + 48 Combine like terms: 0 + 48 = 48 5x = 48 Divide each side by '5'. x = 9.6 Simplifying x = 9.6

Solution

x = {0, 9.6}

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