4x^2-20x+k=(2x-a^2)

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Solution for 4x^2-20x+k=(2x-a^2) equation:


Simplifying
4x2 + -20x + k = (2x + -1a2)

Reorder the terms:
k + -20x + 4x2 = (2x + -1a2)

Reorder the terms:
k + -20x + 4x2 = (-1a2 + 2x)

Remove parenthesis around (-1a2 + 2x)
k + -20x + 4x2 = -1a2 + 2x

Solving
k + -20x + 4x2 = -1a2 + 2x

Solving for variable 'k'.

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

Add '20x' to each side of the equation.
k + -20x + 20x + 4x2 = -1a2 + 2x + 20x

Combine like terms: -20x + 20x = 0
k + 0 + 4x2 = -1a2 + 2x + 20x
k + 4x2 = -1a2 + 2x + 20x

Combine like terms: 2x + 20x = 22x
k + 4x2 = -1a2 + 22x

Add '-4x2' to each side of the equation.
k + 4x2 + -4x2 = -1a2 + 22x + -4x2

Combine like terms: 4x2 + -4x2 = 0
k + 0 = -1a2 + 22x + -4x2
k = -1a2 + 22x + -4x2

Simplifying
k = -1a2 + 22x + -4x2

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