2x+x(3x-6)=0

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Solution for 2x+x(3x-6)=0 equation:


Simplifying
2x + x(3x + -6) = 0

Reorder the terms:
2x + x(-6 + 3x) = 0
2x + (-6 * x + 3x * x) = 0
2x + (-6x + 3x2) = 0

Combine like terms: 2x + -6x = -4x
-4x + 3x2 = 0

Solving
-4x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + 3x) = 0

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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333

Solution

x = {0, 1.333333333}

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