(3x)(4x)=12x

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Solution for (3x)(4x)=12x equation:


Simplifying
(3x)(4x) = 12x
Remove parenthesis around (3x)
3x(4x) = 12x
Remove parenthesis around (4x)
3x * 4x = 12x
Reorder the terms for easier multiplication:
3 * 4x * x = 12x
Multiply 3 * 4
12x * x = 12x
Multiply x * x
12x2 = 12x
Solving
12x2 = 12x
Solving for variable 'x'.
Reorder the terms:
-12x + 12x2 = 12x + -12x
Combine like terms: 12x + -12x = 0
-12x + 12x2 = 0
Factor out the Greatest Common Factor (GCF), '12x'.
12x(-1 + x) = 0
Ignore the factor 12.

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 '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1

Solution

x = {0, 1}

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