(x-5)(x+5)(X-9)(x+9)=0

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Solution for (x-5)(x+5)(X-9)(x+9)=0 equation: 


Simplifying
(x + -5)(x + 5)(X + -9)(x + 9) = 0

Reorder the terms:
(-5 + x)(x + 5)(X + -9)(x + 9) = 0

Reorder the terms:
(-5 + x)(5 + x)(X + -9)(x + 9) = 0

Reorder the terms:
(-5 + x)(5 + x)(-9 + X)(x + 9) = 0

Reorder the terms:
(-5 + x)(5 + x)(-9 + X)(9 + x) = 0

Multiply (-5 + x) * (5 + x)
(-5(5 + x) + x(5 + x))(-9 + X)(9 + x) = 0
((5 * -5 + x * -5) + x(5 + x))(-9 + X)(9 + x) = 0
((-25 + -5x) + x(5 + x))(-9 + X)(9 + x) = 0
(-25 + -5x + (5 * x + x * x))(-9 + X)(9 + x) = 0
(-25 + -5x + (5x + x2))(-9 + X)(9 + x) = 0

Combine like terms: -5x + 5x = 0
(-25 + 0 + x2)(-9 + X)(9 + x) = 0
(-25 + x2)(-9 + X)(9 + x) = 0

Multiply (-25 + x2) * (-9 + X)
(-25(-9 + X) + x2(-9 + X))(9 + x) = 0
((-9 * -25 + X * -25) + x2(-9 + X))(9 + x) = 0
((225 + -25X) + x2(-9 + X))(9 + x) = 0
(225 + -25X + (-9 * x2 + X * x2))(9 + x) = 0
(225 + -25X + (-9x2 + x2X))(9 + x) = 0
(225 + -25X + -9x2 + x2X)(9 + x) = 0

Multiply (225 + -25X + -9x2 + x2X) * (9 + x)
(225(9 + x) + -25X * (9 + x) + -9x2 * (9 + x) + x2X(9 + x)) = 0
((9 * 225 + x * 225) + -25X * (9 + x) + -9x2 * (9 + x) + x2X(9 + x)) = 0
((2025 + 225x) + -25X * (9 + x) + -9x2 * (9 + x) + x2X(9 + x)) = 0
(2025 + 225x + (9 * -25X + x * -25X) + -9x2 * (9 + x) + x2X(9 + x)) = 0
(2025 + 225x + (-225X + -25xX) + -9x2 * (9 + x) + x2X(9 + x)) = 0
(2025 + 225x + -225X + -25xX + (9 * -9x2 + x * -9x2) + x2X(9 + x)) = 0
(2025 + 225x + -225X + -25xX + (-81x2 + -9x3) + x2X(9 + x)) = 0
(2025 + 225x + -225X + -25xX + -81x2 + -9x3 + (9 * x2X + x * x2X)) = 0
(2025 + 225x + -225X + -25xX + -81x2 + -9x3 + (9x2X + x3X)) = 0

Reorder the terms:
(2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X) = 0
(2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X) = 0

Solving
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0

Solving for variable 'X'.

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

Add '-2025' to each side of the equation.
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + -2025 + x3X = 0 + -2025

Reorder the terms:
2025 + -2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + -2025

Combine like terms: 2025 + -2025 = 0
0 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + -2025
-225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + -2025

Combine like terms: 0 + -2025 = -2025
-225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025

Add '-225x' to each side of the equation.
-225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + -225x + x3X = -2025 + -225x

Reorder the terms:
-225X + 225x + -225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025 + -225x

Combine like terms: 225x + -225x = 0
-225X + 0 + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025 + -225x
-225X + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025 + -225x

Add '81x2' to each side of the equation.
-225X + -25xX + -81x2 + 9x2X + -9x3 + 81x2 + x3X = -2025 + -225x + 81x2

Reorder the terms:
-225X + -25xX + -81x2 + 81x2 + 9x2X + -9x3 + x3X = -2025 + -225x + 81x2

Combine like terms: -81x2 + 81x2 = 0
-225X + -25xX + 0 + 9x2X + -9x3 + x3X = -2025 + -225x + 81x2
-225X + -25xX + 9x2X + -9x3 + x3X = -2025 + -225x + 81x2

Add '9x3' to each side of the equation.
-225X + -25xX + 9x2X + -9x3 + 9x3 + x3X = -2025 + -225x + 81x2 + 9x3

Combine like terms: -9x3 + 9x3 = 0
-225X + -25xX + 9x2X + 0 + x3X = -2025 + -225x + 81x2 + 9x3
-225X + -25xX + 9x2X + x3X = -2025 + -225x + 81x2 + 9x3

Reorder the terms:
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025 + -225x + 81x2 + 9x3 + 2025 + 225x + -81x2 + -9x3

Reorder the terms:
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = -2025 + 2025 + -225x + 225x + 81x2 + -81x2 + 9x3 + -9x3

Combine like terms: -2025 + 2025 = 0
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + -225x + 225x + 81x2 + -81x2 + 9x3 + -9x3
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = -225x + 225x + 81x2 + -81x2 + 9x3 + -9x3

Combine like terms: -225x + 225x = 0
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + 81x2 + -81x2 + 9x3 + -9x3
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 81x2 + -81x2 + 9x3 + -9x3

Combine like terms: 81x2 + -81x2 = 0
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0 + 9x3 + -9x3
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 9x3 + -9x3

Combine like terms: 9x3 + -9x3 = 0
2025 + -225X + 225x + -25xX + -81x2 + 9x2X + -9x3 + x3X = 0

The solution to this equation could not be determined.

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