6x=2xh

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Solution for 6x=2xh equation:


Simplifying
6x = 2xh

Solving
6x = 2hx

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2hx' to each side of the equation.
-2hx + 6x = 2hx + -2hx

Combine like terms: 2hx + -2hx = 0
-2hx + 6x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1h + 3) = 0

Ignore the factor 2.

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 '(-1h + 3)' equal to zero and attempt to solve: Simplifying -1h + 3 = 0 Reorder the terms: 3 + -1h = 0 Solving 3 + -1h = 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 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Add 'h' to each side of the equation. -1h + h = -3 + h Combine like terms: -1h + h = 0 0 = -3 + h Simplifying 0 = -3 + h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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