4x^2-4x+y^2=

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Solution for 4x^2-4x+y^2= equation:


Simplifying
4x2 + -4x + y2 = 0

Reorder the terms:
-4x + 4x2 + y2 = 0

Solving
-4x + 4x2 + y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x + -1y)(2x + -1y) = 0

Subproblem 1

Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y

Subproblem 2

Set the factor '(2x + -1y)' equal to zero and attempt to solve: Simplifying 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 2x + -1y + y = 0 + y Combine like terms: -1y + y = 0 2x + 0 = 0 + y 2x = 0 + y Remove the zero: 2x = y Divide each side by '2'. x = 0.5y Simplifying x = 0.5y

Solution

x = {0.5y, 0.5y}

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