(4x^2-9)(2x+1)+x^2(4x^2-9)=0

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Solution for (4x^2-9)(2x+1)+x^2(4x^2-9)=0 equation: 


Simplifying
(4x2 + -9)(2x + 1) + x2(4x2 + -9) = 0

Reorder the terms:
(-9 + 4x2)(2x + 1) + x2(4x2 + -9) = 0

Reorder the terms:
(-9 + 4x2)(1 + 2x) + x2(4x2 + -9) = 0

Multiply (-9 + 4x2) * (1 + 2x)
(-9(1 + 2x) + 4x2 * (1 + 2x)) + x2(4x2 + -9) = 0
((1 * -9 + 2x * -9) + 4x2 * (1 + 2x)) + x2(4x2 + -9) = 0
((-9 + -18x) + 4x2 * (1 + 2x)) + x2(4x2 + -9) = 0
(-9 + -18x + (1 * 4x2 + 2x * 4x2)) + x2(4x2 + -9) = 0
(-9 + -18x + (4x2 + 8x3)) + x2(4x2 + -9) = 0
(-9 + -18x + 4x2 + 8x3) + x2(4x2 + -9) = 0

Reorder the terms:
-9 + -18x + 4x2 + 8x3 + x2(-9 + 4x2) = 0
-9 + -18x + 4x2 + 8x3 + (-9 * x2 + 4x2 * x2) = 0
-9 + -18x + 4x2 + 8x3 + (-9x2 + 4x4) = 0

Reorder the terms:
-9 + -18x + 4x2 + -9x2 + 8x3 + 4x4 = 0

Combine like terms: 4x2 + -9x2 = -5x2
-9 + -18x + -5x2 + 8x3 + 4x4 = 0

Solving
-9 + -18x + -5x2 + 8x3 + 4x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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