65*65-81*x*x=36*x*x

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Solution for 65*65-81*x*x=36*x*x equation: 


Simplifying
65 * 65 + -81x * x = 36x * x

Multiply 65 * 65
4225 + -81x * x = 36x * x

Multiply x * x
4225 + -81x2 = 36x * x

Multiply x * x
4225 + -81x2 = 36x2

Solving
4225 + -81x2 = 36x2

Solving for variable 'x'.

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

Add '-36x2' to each side of the equation.
4225 + -81x2 + -36x2 = 36x2 + -36x2

Combine like terms: -81x2 + -36x2 = -117x2
4225 + -117x2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
4225 + -117x2 = 0

Add '-4225' to each side of the equation.
4225 + -4225 + -117x2 = 0 + -4225

Combine like terms: 4225 + -4225 = 0
0 + -117x2 = 0 + -4225
-117x2 = 0 + -4225

Combine like terms: 0 + -4225 = -4225
-117x2 = -4225

Divide each side by '-117'.
x2 = 36.11111111

Simplifying
x2 = 36.11111111

Take the square root of each side:
x = {-6.009252126, 6.009252126}

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