2x^2(3x+4)(x^2+9)(x^2-25)=0

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Solution for 2x^2(3x+4)(x^2+9)(x^2-25)=0 equation:


Simplifying
2x2(3x + 4)(x2 + 9)(x2 + -25) = 0

Reorder the terms:
2x2(4 + 3x)(x2 + 9)(x2 + -25) = 0

Reorder the terms:
2x2(4 + 3x)(9 + x2)(x2 + -25) = 0

Reorder the terms:
2x2(4 + 3x)(9 + x2)(-25 + x2) = 0

Multiply (4 + 3x) * (9 + x2)
2x2(4(9 + x2) + 3x * (9 + x2))(-25 + x2) = 0
2x2((9 * 4 + x2 * 4) + 3x * (9 + x2))(-25 + x2) = 0
2x2((36 + 4x2) + 3x * (9 + x2))(-25 + x2) = 0
2x2(36 + 4x2 + (9 * 3x + x2 * 3x))(-25 + x2) = 0
2x2(36 + 4x2 + (27x + 3x3))(-25 + x2) = 0

Reorder the terms:
2x2(36 + 27x + 4x2 + 3x3)(-25 + x2) = 0
2x2(36 + 27x + 4x2 + 3x3)(-25 + x2) = 0

Multiply (36 + 27x + 4x2 + 3x3) * (-25 + x2)
2x2(36(-25 + x2) + 27x * (-25 + x2) + 4x2 * (-25 + x2) + 3x3 * (-25 + x2)) = 0
2x2((-25 * 36 + x2 * 36) + 27x * (-25 + x2) + 4x2 * (-25 + x2) + 3x3 * (-25 + x2)) = 0
2x2((-900 + 36x2) + 27x * (-25 + x2) + 4x2 * (-25 + x2) + 3x3 * (-25 + x2)) = 0
2x2(-900 + 36x2 + (-25 * 27x + x2 * 27x) + 4x2 * (-25 + x2) + 3x3 * (-25 + x2)) = 0
2x2(-900 + 36x2 + (-675x + 27x3) + 4x2 * (-25 + x2) + 3x3 * (-25 + x2)) = 0
2x2(-900 + 36x2 + -675x + 27x3 + (-25 * 4x2 + x2 * 4x2) + 3x3 * (-25 + x2)) = 0
2x2(-900 + 36x2 + -675x + 27x3 + (-100x2 + 4x4) + 3x3 * (-25 + x2)) = 0
2x2(-900 + 36x2 + -675x + 27x3 + -100x2 + 4x4 + (-25 * 3x3 + x2 * 3x3)) = 0
2x2(-900 + 36x2 + -675x + 27x3 + -100x2 + 4x4 + (-75x3 + 3x5)) = 0

Reorder the terms:
2x2(-900 + -675x + 36x2 + -100x2 + 27x3 + -75x3 + 4x4 + 3x5) = 0

Combine like terms: 36x2 + -100x2 = -64x2
2x2(-900 + -675x + -64x2 + 27x3 + -75x3 + 4x4 + 3x5) = 0

Combine like terms: 27x3 + -75x3 = -48x3
2x2(-900 + -675x + -64x2 + -48x3 + 4x4 + 3x5) = 0
(-900 * 2x2 + -675x * 2x2 + -64x2 * 2x2 + -48x3 * 2x2 + 4x4 * 2x2 + 3x5 * 2x2) = 0
(-1800x2 + -1350x3 + -128x4 + -96x5 + 8x6 + 6x7) = 0

Solving
-1800x2 + -1350x3 + -128x4 + -96x5 + 8x6 + 6x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-900 + -675x + -64x2 + -48x3 + 4x4 + 3x5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-900 + -675x + -64x2 + -48x3 + 4x4 + 3x5)' equal to zero and attempt to solve:

Simplifying
-900 + -675x + -64x2 + -48x3 + 4x4 + 3x5 = 0

Solving
-900 + -675x + -64x2 + -48x3 + 4x4 + 3x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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