3x-(2x-4)6x=

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Solution for 3x-(2x-4)6x= equation:


Simplifying
3x + -1(2x + -4) * 6x = 0

Reorder the terms:
3x + -1(-4 + 2x) * 6x = 0

Reorder the terms for easier multiplication:
3x + -1 * 6x(-4 + 2x) = 0

Multiply -1 * 6
3x + -6x(-4 + 2x) = 0
3x + (-4 * -6x + 2x * -6x) = 0
3x + (24x + -12x2) = 0

Combine like terms: 3x + 24x = 27x
27x + -12x2 = 0

Solving
27x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9 + -4x) = 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 '(9 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25

Solution

x = {0, 2.25}

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