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

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


Simplifying
(x + -4)(4 + 5x)(2x + -3) = 0

Reorder the terms:
(-4 + x)(4 + 5x)(2x + -3) = 0

Reorder the terms:
(-4 + x)(4 + 5x)(-3 + 2x) = 0

Multiply (-4 + x) * (4 + 5x)
(-4(4 + 5x) + x(4 + 5x))(-3 + 2x) = 0
((4 * -4 + 5x * -4) + x(4 + 5x))(-3 + 2x) = 0
((-16 + -20x) + x(4 + 5x))(-3 + 2x) = 0
(-16 + -20x + (4 * x + 5x * x))(-3 + 2x) = 0
(-16 + -20x + (4x + 5x2))(-3 + 2x) = 0

Combine like terms: -20x + 4x = -16x
(-16 + -16x + 5x2)(-3 + 2x) = 0

Multiply (-16 + -16x + 5x2) * (-3 + 2x)
(-16(-3 + 2x) + -16x * (-3 + 2x) + 5x2 * (-3 + 2x)) = 0
((-3 * -16 + 2x * -16) + -16x * (-3 + 2x) + 5x2 * (-3 + 2x)) = 0
((48 + -32x) + -16x * (-3 + 2x) + 5x2 * (-3 + 2x)) = 0
(48 + -32x + (-3 * -16x + 2x * -16x) + 5x2 * (-3 + 2x)) = 0
(48 + -32x + (48x + -32x2) + 5x2 * (-3 + 2x)) = 0
(48 + -32x + 48x + -32x2 + (-3 * 5x2 + 2x * 5x2)) = 0
(48 + -32x + 48x + -32x2 + (-15x2 + 10x3)) = 0

Combine like terms: -32x + 48x = 16x
(48 + 16x + -32x2 + -15x2 + 10x3) = 0

Combine like terms: -32x2 + -15x2 = -47x2
(48 + 16x + -47x2 + 10x3) = 0

Solving
48 + 16x + -47x2 + 10x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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