3x(3x)-5y(5y)=-33

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Solution for 3x(3x)-5y(5y)=-33 equation: 


Simplifying
3x(3x) + -5y(5y) = -33

Remove parenthesis around (3x)
3x * 3x + -5y(5y) = -33

Reorder the terms for easier multiplication:
3 * 3x * x + -5y(5y) = -33

Multiply 3 * 3
9x * x + -5y(5y) = -33

Multiply x * x
9x2 + -5y(5y) = -33

Remove parenthesis around (5y)
9x2 + -5y * 5y = -33

Reorder the terms for easier multiplication:
9x2 + -5 * 5y * y = -33

Multiply -5 * 5
9x2 + -25y * y = -33

Multiply y * y
9x2 + -25y2 = -33

Solving
9x2 + -25y2 = -33

Solving for variable 'x'.

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

Add '25y2' to each side of the equation.
9x2 + -25y2 + 25y2 = -33 + 25y2

Combine like terms: -25y2 + 25y2 = 0
9x2 + 0 = -33 + 25y2
9x2 = -33 + 25y2

Divide each side by '9'.
x2 = -3.666666667 + 2.777777778y2

Simplifying
x2 = -3.666666667 + 2.777777778y2

Reorder the terms:
3.666666667 + x2 + -2.777777778y2 = -3.666666667 + 2.777777778y2 + 3.666666667 + -2.777777778y2

Reorder the terms:
3.666666667 + x2 + -2.777777778y2 = -3.666666667 + 3.666666667 + 2.777777778y2 + -2.777777778y2

Combine like terms: -3.666666667 + 3.666666667 = 0.000000000
3.666666667 + x2 + -2.777777778y2 = 0.000000000 + 2.777777778y2 + -2.777777778y2
3.666666667 + x2 + -2.777777778y2 = 2.777777778y2 + -2.777777778y2

Combine like terms: 2.777777778y2 + -2.777777778y2 = 0.000000000
3.666666667 + x2 + -2.777777778y2 = 0.000000000

The solution to this equation could not be determined.

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