(4x^2-12x+9)(9x^2+24x+16)=0

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Solution for (4x^2-12x+9)(9x^2+24x+16)=0 equation:


Simplifying
(4x2 + -12x + 9)(9x2 + 24x + 16) = 0

Reorder the terms:
(9 + -12x + 4x2)(9x2 + 24x + 16) = 0

Reorder the terms:
(9 + -12x + 4x2)(16 + 24x + 9x2) = 0

Multiply (9 + -12x + 4x2) * (16 + 24x + 9x2)
(9(16 + 24x + 9x2) + -12x * (16 + 24x + 9x2) + 4x2 * (16 + 24x + 9x2)) = 0
((16 * 9 + 24x * 9 + 9x2 * 9) + -12x * (16 + 24x + 9x2) + 4x2 * (16 + 24x + 9x2)) = 0
((144 + 216x + 81x2) + -12x * (16 + 24x + 9x2) + 4x2 * (16 + 24x + 9x2)) = 0
(144 + 216x + 81x2 + (16 * -12x + 24x * -12x + 9x2 * -12x) + 4x2 * (16 + 24x + 9x2)) = 0
(144 + 216x + 81x2 + (-192x + -288x2 + -108x3) + 4x2 * (16 + 24x + 9x2)) = 0
(144 + 216x + 81x2 + -192x + -288x2 + -108x3 + (16 * 4x2 + 24x * 4x2 + 9x2 * 4x2)) = 0
(144 + 216x + 81x2 + -192x + -288x2 + -108x3 + (64x2 + 96x3 + 36x4)) = 0

Reorder the terms:
(144 + 216x + -192x + 81x2 + -288x2 + 64x2 + -108x3 + 96x3 + 36x4) = 0

Combine like terms: 216x + -192x = 24x
(144 + 24x + 81x2 + -288x2 + 64x2 + -108x3 + 96x3 + 36x4) = 0

Combine like terms: 81x2 + -288x2 = -207x2
(144 + 24x + -207x2 + 64x2 + -108x3 + 96x3 + 36x4) = 0

Combine like terms: -207x2 + 64x2 = -143x2
(144 + 24x + -143x2 + -108x3 + 96x3 + 36x4) = 0

Combine like terms: -108x3 + 96x3 = -12x3
(144 + 24x + -143x2 + -12x3 + 36x4) = 0

Solving
144 + 24x + -143x2 + -12x3 + 36x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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