2x(x^2+3x-4x)=0

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Solution for 2x(x^2+3x-4x)=0 equation: 


Simplifying
2x(x2 + 3x + -4x) = 0

Reorder the terms:
2x(3x + -4x + x2) = 0

Combine like terms: 3x + -4x = -1x
2x(-1x + x2) = 0
(-1x * 2x + x2 * 2x) = 0
(-2x2 + 2x3) = 0

Solving
-2x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-1 + x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 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 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

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