3(x^2-x)=x^2

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


Simplifying
3(x2 + -1x) = x2

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

Solving
-3x + 3x2 = x2

Solving for variable 'x'.

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

Combine like terms: x2 + -1x2 = 0
-3x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3 + 2x) = 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 '(-3 + 2x)' equal to zero and attempt to solve: Simplifying -3 + 2x = 0 Solving -3 + 2x = 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 + 2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 0 + 3 2x = 0 + 3 Combine like terms: 0 + 3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 1.5}

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