4x^2-2(a^2+b^2)x+a^2b^2=0

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


Simplifying
4x2 + -2(a2 + b2) * x + a2b2 = 0

Reorder the terms for easier multiplication:
4x2 + -2x(a2 + b2) + a2b2 = 0
4x2 + (a2 * -2x + b2 * -2x) + a2b2 = 0
4x2 + (-2a2x + -2b2x) + a2b2 = 0

Reorder the terms:
a2b2 + -2a2x + -2b2x + 4x2 = 0

Solving
a2b2 + -2a2x + -2b2x + 4x2 = 0

Solving for variable 'a'.

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

Add '2b2x' to each side of the equation.
a2b2 + -2a2x + -2b2x + 2b2x + 4x2 = 0 + 2b2x

Combine like terms: -2b2x + 2b2x = 0
a2b2 + -2a2x + 0 + 4x2 = 0 + 2b2x
a2b2 + -2a2x + 4x2 = 0 + 2b2x
Remove the zero:
a2b2 + -2a2x + 4x2 = 2b2x

Add '-4x2' to each side of the equation.
a2b2 + -2a2x + 4x2 + -4x2 = 2b2x + -4x2

Combine like terms: 4x2 + -4x2 = 0
a2b2 + -2a2x + 0 = 2b2x + -4x2
a2b2 + -2a2x = 2b2x + -4x2

Reorder the terms:
a2b2 + -2a2x + -2b2x + 4x2 = 2b2x + -2b2x + -4x2 + 4x2

Combine like terms: 2b2x + -2b2x = 0
a2b2 + -2a2x + -2b2x + 4x2 = 0 + -4x2 + 4x2
a2b2 + -2a2x + -2b2x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
a2b2 + -2a2x + -2b2x + 4x2 = 0

The solution to this equation could not be determined.

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