(X^2-1x)(x^2-4x)=4x^2

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Solution for (X^2-1x)(x^2-4x)=4x^2 equation:


Simplifying
(X2 + -1x)(x2 + -4x) = 4x2

Reorder the terms:
(X2 + -1x)(-4x + x2) = 4x2

Multiply (X2 + -1x) * (-4x + x2)
(X2(-4x + x2) + -1x * (-4x + x2)) = 4x2
((-4x * X2 + x2 * X2) + -1x * (-4x + x2)) = 4x2
((-4xX2 + x2X2) + -1x * (-4x + x2)) = 4x2
(-4xX2 + x2X2 + (-4x * -1x + x2 * -1x)) = 4x2
(-4xX2 + x2X2 + (4x2 + -1x3)) = 4x2

Reorder the terms:
(-4xX2 + 4x2 + x2X2 + -1x3) = 4x2
(-4xX2 + 4x2 + x2X2 + -1x3) = 4x2

Add '-4x2' to each side of the equation.
-4xX2 + 4x2 + x2X2 + -4x2 + -1x3 = 4x2 + -4x2

Reorder the terms:
-4xX2 + 4x2 + -4x2 + x2X2 + -1x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4xX2 + 0 + x2X2 + -1x3 = 4x2 + -4x2
-4xX2 + x2X2 + -1x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4xX2 + x2X2 + -1x3 = 0

Solving
-4xX2 + x2X2 + -1x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4X2 + xX2 + -1x2) = 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 '(-4X2 + xX2 + -1x2)' equal to zero and attempt to solve: Simplifying -4X2 + xX2 + -1x2 = 0 Solving -4X2 + xX2 + -1x2 = 0 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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