(x-2)2=-4(-2)(y-5)

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Solution for (x-2)2=-4(-2)(y-5) equation:


Simplifying
(x + -2) * 2 = -4(-2)(y + -5)

Reorder the terms:
(-2 + x) * 2 = -4(-2)(y + -5)

Reorder the terms for easier multiplication:
2(-2 + x) = -4(-2)(y + -5)
(-2 * 2 + x * 2) = -4(-2)(y + -5)
(-4 + 2x) = -4(-2)(y + -5)

Reorder the terms:
-4 + 2x = -4 * -2(-5 + y)

Multiply -4 * -2
-4 + 2x = 8(-5 + y)
-4 + 2x = (-5 * 8 + y * 8)
-4 + 2x = (-40 + 8y)

Solving
-4 + 2x = -40 + 8y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 2x = -40 + 4 + 8y

Combine like terms: -4 + 4 = 0
0 + 2x = -40 + 4 + 8y
2x = -40 + 4 + 8y

Combine like terms: -40 + 4 = -36
2x = -36 + 8y

Divide each side by '2'.
x = -18 + 4y

Simplifying
x = -18 + 4y

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