65*65-81*x*x=16*16*x*x

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Solution for 65*65-81*x*x=16*16*x*x equation: 


Simplifying
65 * 65 + -81x * x = 16 * 16x * x

Multiply 65 * 65
4225 + -81x * x = 16 * 16x * x

Multiply x * x
4225 + -81x2 = 16 * 16x * x

Multiply 16 * 16
4225 + -81x2 = 256x * x

Multiply x * x
4225 + -81x2 = 256x2

Solving
4225 + -81x2 = 256x2

Solving for variable 'x'.

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

Add '-256x2' to each side of the equation.
4225 + -81x2 + -256x2 = 256x2 + -256x2

Combine like terms: -81x2 + -256x2 = -337x2
4225 + -337x2 = 256x2 + -256x2

Combine like terms: 256x2 + -256x2 = 0
4225 + -337x2 = 0

Add '-4225' to each side of the equation.
4225 + -4225 + -337x2 = 0 + -4225

Combine like terms: 4225 + -4225 = 0
0 + -337x2 = 0 + -4225
-337x2 = 0 + -4225

Combine like terms: 0 + -4225 = -4225
-337x2 = -4225

Divide each side by '-337'.
x2 = 12.53709199

Simplifying
x2 = 12.53709199

Take the square root of each side:
x = {-3.54077562, 3.54077562}

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