(2x)(2x)-(3y)(3y)=38

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Solution for (2x)(2x)-(3y)(3y)=38 equation:


Simplifying
(2x)(2x) + -1(3y)(3y) = 38

Remove parenthesis around (2x)
2x(2x) + -1(3y)(3y) = 38

Remove parenthesis around (2x)
2x * 2x + -1(3y)(3y) = 38

Reorder the terms for easier multiplication:
2 * 2x * x + -1(3y)(3y) = 38

Multiply 2 * 2
4x * x + -1(3y)(3y) = 38

Multiply x * x
4x2 + -1(3y)(3y) = 38

Remove parenthesis around (3y)
4x2 + -1 * 3y(3y) = 38

Remove parenthesis around (3y)
4x2 + -1 * 3y * 3y = 38

Reorder the terms for easier multiplication:
4x2 + -1 * 3 * 3y * y = 38

Multiply -1 * 3
4x2 + -3 * 3y * y = 38

Multiply -3 * 3
4x2 + -9y * y = 38

Multiply y * y
4x2 + -9y2 = 38

Solving
4x2 + -9y2 = 38

Solving for variable 'x'.

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

Add '9y2' to each side of the equation.
4x2 + -9y2 + 9y2 = 38 + 9y2

Combine like terms: -9y2 + 9y2 = 0
4x2 + 0 = 38 + 9y2
4x2 = 38 + 9y2

Divide each side by '4'.
x2 = 9.5 + 2.25y2

Simplifying
x2 = 9.5 + 2.25y2

Reorder the terms:
-9.5 + x2 + -2.25y2 = 9.5 + 2.25y2 + -9.5 + -2.25y2

Reorder the terms:
-9.5 + x2 + -2.25y2 = 9.5 + -9.5 + 2.25y2 + -2.25y2

Combine like terms: 9.5 + -9.5 = 0.0
-9.5 + x2 + -2.25y2 = 0.0 + 2.25y2 + -2.25y2
-9.5 + x2 + -2.25y2 = 2.25y2 + -2.25y2

Combine like terms: 2.25y2 + -2.25y2 = 0.00
-9.5 + x2 + -2.25y2 = 0.00

The solution to this equation could not be determined.

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