2982=4X*4X+3Y*3Y

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Solution for 2982=4X*4X+3Y*3Y equation: 


Simplifying
2982 = 4X * 4X + 3Y * 3Y

Reorder the terms for easier multiplication:
2982 = 4 * 4X * X + 3Y * 3Y

Multiply 4 * 4
2982 = 16X * X + 3Y * 3Y

Multiply X * X
2982 = 16X2 + 3Y * 3Y

Reorder the terms for easier multiplication:
2982 = 16X2 + 3 * 3Y * Y

Multiply 3 * 3
2982 = 16X2 + 9Y * Y

Multiply Y * Y
2982 = 16X2 + 9Y2

Solving
2982 = 16X2 + 9Y2

Solving for variable 'X'.

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

Add '-16X2' to each side of the equation.
2982 + -16X2 = 16X2 + -16X2 + 9Y2

Combine like terms: 16X2 + -16X2 = 0
2982 + -16X2 = 0 + 9Y2
2982 + -16X2 = 9Y2

Add '-2982' to each side of the equation.
2982 + -2982 + -16X2 = -2982 + 9Y2

Combine like terms: 2982 + -2982 = 0
0 + -16X2 = -2982 + 9Y2
-16X2 = -2982 + 9Y2

Divide each side by '-16'.
X2 = 186.375 + -0.5625Y2

Simplifying
X2 = 186.375 + -0.5625Y2

Reorder the terms:
-186.375 + X2 + 0.5625Y2 = 186.375 + -0.5625Y2 + -186.375 + 0.5625Y2

Reorder the terms:
-186.375 + X2 + 0.5625Y2 = 186.375 + -186.375 + -0.5625Y2 + 0.5625Y2

Combine like terms: 186.375 + -186.375 = 0.000
-186.375 + X2 + 0.5625Y2 = 0.000 + -0.5625Y2 + 0.5625Y2
-186.375 + X2 + 0.5625Y2 = -0.5625Y2 + 0.5625Y2

Combine like terms: -0.5625Y2 + 0.5625Y2 = 0.0000
-186.375 + X2 + 0.5625Y2 = 0.0000

The solution to this equation could not be determined.

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