18(x-1)2+2(y+3)2=72

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Solution for 18(x-1)2+2(y+3)2=72 equation:


Simplifying
18(x + -1) * 2 + 2(y + 3) * 2 = 72

Reorder the terms:
18(-1 + x) * 2 + 2(y + 3) * 2 = 72

Reorder the terms for easier multiplication:
18 * 2(-1 + x) + 2(y + 3) * 2 = 72

Multiply 18 * 2
36(-1 + x) + 2(y + 3) * 2 = 72
(-1 * 36 + x * 36) + 2(y + 3) * 2 = 72
(-36 + 36x) + 2(y + 3) * 2 = 72

Reorder the terms:
-36 + 36x + 2(3 + y) * 2 = 72

Reorder the terms for easier multiplication:
-36 + 36x + 2 * 2(3 + y) = 72

Multiply 2 * 2
-36 + 36x + 4(3 + y) = 72
-36 + 36x + (3 * 4 + y * 4) = 72
-36 + 36x + (12 + 4y) = 72

Reorder the terms:
-36 + 12 + 36x + 4y = 72

Combine like terms: -36 + 12 = -24
-24 + 36x + 4y = 72

Solving
-24 + 36x + 4y = 72

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 36x + 24 + 4y = 72 + 24

Reorder the terms:
-24 + 24 + 36x + 4y = 72 + 24

Combine like terms: -24 + 24 = 0
0 + 36x + 4y = 72 + 24
36x + 4y = 72 + 24

Combine like terms: 72 + 24 = 96
36x + 4y = 96

Add '-4y' to each side of the equation.
36x + 4y + -4y = 96 + -4y

Combine like terms: 4y + -4y = 0
36x + 0 = 96 + -4y
36x = 96 + -4y

Divide each side by '36'.
x = 2.666666667 + -0.1111111111y

Simplifying
x = 2.666666667 + -0.1111111111y

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