4x(12x)=12x

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


Simplifying
4x(12x) = 12x

Remove parenthesis around (12x)
4x * 12x = 12x

Reorder the terms for easier multiplication:
4 * 12x * x = 12x

Multiply 4 * 12
48x * x = 12x

Multiply x * x
48x2 = 12x

Solving
48x2 = 12x

Solving for variable 'x'.

Reorder the terms:
-12x + 48x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
-12x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(-1 + 4x) = 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 + 4x)' equal to zero and attempt to solve: Simplifying -1 + 4x = 0 Solving -1 + 4x = 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 + 4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 0 + 1 4x = 0 + 1 Combine like terms: 0 + 1 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25

Solution

x = {0, 0.25}

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