(3y-20)2+(4x+5)2=360

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Solution for (3y-20)2+(4x+5)2=360 equation:


Simplifying
(3y + -20) * 2 + (4x + 5) * 2 = 360

Reorder the terms:
(-20 + 3y) * 2 + (4x + 5) * 2 = 360

Reorder the terms for easier multiplication:
2(-20 + 3y) + (4x + 5) * 2 = 360
(-20 * 2 + 3y * 2) + (4x + 5) * 2 = 360
(-40 + 6y) + (4x + 5) * 2 = 360

Reorder the terms:
-40 + 6y + (5 + 4x) * 2 = 360

Reorder the terms for easier multiplication:
-40 + 6y + 2(5 + 4x) = 360
-40 + 6y + (5 * 2 + 4x * 2) = 360
-40 + 6y + (10 + 8x) = 360

Reorder the terms:
-40 + 10 + 8x + 6y = 360

Combine like terms: -40 + 10 = -30
-30 + 8x + 6y = 360

Solving
-30 + 8x + 6y = 360

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 8x + 30 + 6y = 360 + 30

Reorder the terms:
-30 + 30 + 8x + 6y = 360 + 30

Combine like terms: -30 + 30 = 0
0 + 8x + 6y = 360 + 30
8x + 6y = 360 + 30

Combine like terms: 360 + 30 = 390
8x + 6y = 390

Add '-6y' to each side of the equation.
8x + 6y + -6y = 390 + -6y

Combine like terms: 6y + -6y = 0
8x + 0 = 390 + -6y
8x = 390 + -6y

Divide each side by '8'.
x = 48.75 + -0.75y

Simplifying
x = 48.75 + -0.75y

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