3x(2x-1)(-5+7)=0

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Solution for 3x(2x-1)(-5+7)=0 equation:


Simplifying
3x(2x + -1)(-5 + 7) = 0

Reorder the terms:
3x(-1 + 2x)(-5 + 7) = 0

Combine like terms: -5 + 7 = 2
3x(-1 + 2x)(2) = 0

Reorder the terms for easier multiplication:
3 * 2x(-1 + 2x) = 0

Multiply 3 * 2
6x(-1 + 2x) = 0
(-1 * 6x + 2x * 6x) = 0
(-6x + 12x2) = 0

Solving
-6x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1 + 2x) = 0

Ignore the factor 6.

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 + 2x)' equal to zero and attempt to solve: Simplifying -1 + 2x = 0 Solving -1 + 2x = 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 + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x = 0 + 1 2x = 0 + 1 Combine like terms: 0 + 1 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0, 0.5}

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