4x^2+4y^2-8x=0

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Solution for 4x^2+4y^2-8x=0 equation:


Simplifying
4x2 + 4y2 + -8x = 0

Reorder the terms:
-8x + 4x2 + 4y2 = 0

Solving
-8x + 4x2 + 4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2x + x2 + y2) = 0

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

Ignore the factor 4.

Subproblem 1

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

Subproblem 2

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

Solution

x = {y, y}

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