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

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


Simplifying
3x(x + 6) + -1x = 2x

Reorder the terms:
3x(6 + x) + -1x = 2x
(6 * 3x + x * 3x) + -1x = 2x
(18x + 3x2) + -1x = 2x

Reorder the terms:
18x + -1x + 3x2 = 2x

Combine like terms: 18x + -1x = 17x
17x + 3x2 = 2x

Solving
17x + 3x2 = 2x

Solving for variable 'x'.

Reorder the terms:
17x + -2x + 3x2 = 2x + -2x

Combine like terms: 17x + -2x = 15x
15x + 3x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + x) = 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5}

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