(2x-6)(1x+1x)=0

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Solution for (2x-6)(1x+1x)=0 equation:


Simplifying
(2x + -6)(1x + 1x) = 0

Reorder the terms:
(-6 + 2x)(1x + 1x) = 0

Combine like terms: 1x + 1x = 2x
(-6 + 2x)(2x) = 0

Remove parenthesis around (2x)
(-6 + 2x) * 2x = 0

Reorder the terms for easier multiplication:
2x(-6 + 2x) = 0
(-6 * 2x + 2x * 2x) = 0
(-12x + 4x2) = 0

Solving
-12x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-3 + x) = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {0, 3}

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