(X^2-9)(4x^2-25)=0

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Solution for (X^2-9)(4x^2-25)=0 equation:


Simplifying
(X2 + -9)(4x2 + -25) = 0

Reorder the terms:
(-9 + X2)(4x2 + -25) = 0

Reorder the terms:
(-9 + X2)(-25 + 4x2) = 0

Multiply (-9 + X2) * (-25 + 4x2)
(-9(-25 + 4x2) + X2(-25 + 4x2)) = 0
((-25 * -9 + 4x2 * -9) + X2(-25 + 4x2)) = 0
((225 + -36x2) + X2(-25 + 4x2)) = 0
(225 + -36x2 + (-25 * X2 + 4x2 * X2)) = 0
(225 + -36x2 + (-25X2 + 4x2X2)) = 0

Reorder the terms:
(225 + -25X2 + -36x2 + 4x2X2) = 0
(225 + -25X2 + -36x2 + 4x2X2) = 0

Solving
225 + -25X2 + -36x2 + 4x2X2 = 0

Solving for variable 'X'.

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

Add '-225' to each side of the equation.
225 + -25X2 + -36x2 + -225 + 4x2X2 = 0 + -225

Reorder the terms:
225 + -225 + -25X2 + -36x2 + 4x2X2 = 0 + -225

Combine like terms: 225 + -225 = 0
0 + -25X2 + -36x2 + 4x2X2 = 0 + -225
-25X2 + -36x2 + 4x2X2 = 0 + -225

Combine like terms: 0 + -225 = -225
-25X2 + -36x2 + 4x2X2 = -225

Add '36x2' to each side of the equation.
-25X2 + -36x2 + 36x2 + 4x2X2 = -225 + 36x2

Combine like terms: -36x2 + 36x2 = 0
-25X2 + 0 + 4x2X2 = -225 + 36x2
-25X2 + 4x2X2 = -225 + 36x2

Reorder the terms:
225 + -25X2 + -36x2 + 4x2X2 = -225 + 36x2 + 225 + -36x2

Reorder the terms:
225 + -25X2 + -36x2 + 4x2X2 = -225 + 225 + 36x2 + -36x2

Combine like terms: -225 + 225 = 0
225 + -25X2 + -36x2 + 4x2X2 = 0 + 36x2 + -36x2
225 + -25X2 + -36x2 + 4x2X2 = 36x2 + -36x2

Combine like terms: 36x2 + -36x2 = 0
225 + -25X2 + -36x2 + 4x2X2 = 0

The solution to this equation could not be determined.

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