(3x+4)(5x^2-9x+4)=0

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Solution for (3x+4)(5x^2-9x+4)=0 equation: 


Simplifying
(3x + 4)(5x2 + -9x + 4) = 0

Reorder the terms:
(4 + 3x)(5x2 + -9x + 4) = 0

Reorder the terms:
(4 + 3x)(4 + -9x + 5x2) = 0

Multiply (4 + 3x) * (4 + -9x + 5x2)
(4(4 + -9x + 5x2) + 3x * (4 + -9x + 5x2)) = 0
((4 * 4 + -9x * 4 + 5x2 * 4) + 3x * (4 + -9x + 5x2)) = 0
((16 + -36x + 20x2) + 3x * (4 + -9x + 5x2)) = 0
(16 + -36x + 20x2 + (4 * 3x + -9x * 3x + 5x2 * 3x)) = 0
(16 + -36x + 20x2 + (12x + -27x2 + 15x3)) = 0

Reorder the terms:
(16 + -36x + 12x + 20x2 + -27x2 + 15x3) = 0

Combine like terms: -36x + 12x = -24x
(16 + -24x + 20x2 + -27x2 + 15x3) = 0

Combine like terms: 20x2 + -27x2 = -7x2
(16 + -24x + -7x2 + 15x3) = 0

Solving
16 + -24x + -7x2 + 15x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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