127*127=9x*9x+16x*16x

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Solution for 127*127=9x*9x+16x*16x equation: 


Simplifying
127 * 127 = 9x * 9x + 16x * 16x

Multiply 127 * 127
16129 = 9x * 9x + 16x * 16x

Reorder the terms for easier multiplication:
16129 = 9 * 9x * x + 16x * 16x

Multiply 9 * 9
16129 = 81x * x + 16x * 16x

Multiply x * x
16129 = 81x2 + 16x * 16x

Reorder the terms for easier multiplication:
16129 = 81x2 + 16 * 16x * x

Multiply 16 * 16
16129 = 81x2 + 256x * x

Multiply x * x
16129 = 81x2 + 256x2

Combine like terms: 81x2 + 256x2 = 337x2
16129 = 337x2

Solving
16129 = 337x2

Solving for variable 'x'.

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

Add '-337x2' to each side of the equation.
16129 + -337x2 = 337x2 + -337x2

Combine like terms: 337x2 + -337x2 = 0
16129 + -337x2 = 0

Add '-16129' to each side of the equation.
16129 + -16129 + -337x2 = 0 + -16129

Combine like terms: 16129 + -16129 = 0
0 + -337x2 = 0 + -16129
-337x2 = 0 + -16129

Combine like terms: 0 + -16129 = -16129
-337x2 = -16129

Divide each side by '-337'.
x2 = 47.86053412

Simplifying
x2 = 47.86053412

Take the square root of each side:
x = {-6.918130826, 6.918130826}

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