9(x+3)2=66-4(y-2)2

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Solution for 9(x+3)2=66-4(y-2)2 equation:


Simplifying
9(x + 3) * 2 = 66 + -4(y + -2) * 2

Reorder the terms:
9(3 + x) * 2 = 66 + -4(y + -2) * 2

Reorder the terms for easier multiplication:
9 * 2(3 + x) = 66 + -4(y + -2) * 2

Multiply 9 * 2
18(3 + x) = 66 + -4(y + -2) * 2
(3 * 18 + x * 18) = 66 + -4(y + -2) * 2
(54 + 18x) = 66 + -4(y + -2) * 2

Reorder the terms:
54 + 18x = 66 + -4(-2 + y) * 2

Reorder the terms for easier multiplication:
54 + 18x = 66 + -4 * 2(-2 + y)

Multiply -4 * 2
54 + 18x = 66 + -8(-2 + y)
54 + 18x = 66 + (-2 * -8 + y * -8)
54 + 18x = 66 + (16 + -8y)

Combine like terms: 66 + 16 = 82
54 + 18x = 82 + -8y

Solving
54 + 18x = 82 + -8y

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 18x = 82 + -54 + -8y

Combine like terms: 54 + -54 = 0
0 + 18x = 82 + -54 + -8y
18x = 82 + -54 + -8y

Combine like terms: 82 + -54 = 28
18x = 28 + -8y

Divide each side by '18'.
x = 1.555555556 + -0.4444444444y

Simplifying
x = 1.555555556 + -0.4444444444y

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