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

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


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

Reorder the terms:
(-3 + x)(2x + -5)(x + -4)(4x + 9) = 0

Reorder the terms:
(-3 + x)(-5 + 2x)(x + -4)(4x + 9) = 0

Reorder the terms:
(-3 + x)(-5 + 2x)(-4 + x)(4x + 9) = 0

Reorder the terms:
(-3 + x)(-5 + 2x)(-4 + x)(9 + 4x) = 0

Multiply (-3 + x) * (-5 + 2x)
(-3(-5 + 2x) + x(-5 + 2x))(-4 + x)(9 + 4x) = 0
((-5 * -3 + 2x * -3) + x(-5 + 2x))(-4 + x)(9 + 4x) = 0
((15 + -6x) + x(-5 + 2x))(-4 + x)(9 + 4x) = 0
(15 + -6x + (-5 * x + 2x * x))(-4 + x)(9 + 4x) = 0
(15 + -6x + (-5x + 2x2))(-4 + x)(9 + 4x) = 0

Combine like terms: -6x + -5x = -11x
(15 + -11x + 2x2)(-4 + x)(9 + 4x) = 0

Multiply (15 + -11x + 2x2) * (-4 + x)
(15(-4 + x) + -11x * (-4 + x) + 2x2 * (-4 + x))(9 + 4x) = 0
((-4 * 15 + x * 15) + -11x * (-4 + x) + 2x2 * (-4 + x))(9 + 4x) = 0
((-60 + 15x) + -11x * (-4 + x) + 2x2 * (-4 + x))(9 + 4x) = 0
(-60 + 15x + (-4 * -11x + x * -11x) + 2x2 * (-4 + x))(9 + 4x) = 0
(-60 + 15x + (44x + -11x2) + 2x2 * (-4 + x))(9 + 4x) = 0
(-60 + 15x + 44x + -11x2 + (-4 * 2x2 + x * 2x2))(9 + 4x) = 0
(-60 + 15x + 44x + -11x2 + (-8x2 + 2x3))(9 + 4x) = 0

Combine like terms: 15x + 44x = 59x
(-60 + 59x + -11x2 + -8x2 + 2x3)(9 + 4x) = 0

Combine like terms: -11x2 + -8x2 = -19x2
(-60 + 59x + -19x2 + 2x3)(9 + 4x) = 0

Multiply (-60 + 59x + -19x2 + 2x3) * (9 + 4x)
(-60(9 + 4x) + 59x * (9 + 4x) + -19x2 * (9 + 4x) + 2x3 * (9 + 4x)) = 0
((9 * -60 + 4x * -60) + 59x * (9 + 4x) + -19x2 * (9 + 4x) + 2x3 * (9 + 4x)) = 0
((-540 + -240x) + 59x * (9 + 4x) + -19x2 * (9 + 4x) + 2x3 * (9 + 4x)) = 0
(-540 + -240x + (9 * 59x + 4x * 59x) + -19x2 * (9 + 4x) + 2x3 * (9 + 4x)) = 0
(-540 + -240x + (531x + 236x2) + -19x2 * (9 + 4x) + 2x3 * (9 + 4x)) = 0
(-540 + -240x + 531x + 236x2 + (9 * -19x2 + 4x * -19x2) + 2x3 * (9 + 4x)) = 0
(-540 + -240x + 531x + 236x2 + (-171x2 + -76x3) + 2x3 * (9 + 4x)) = 0
(-540 + -240x + 531x + 236x2 + -171x2 + -76x3 + (9 * 2x3 + 4x * 2x3)) = 0
(-540 + -240x + 531x + 236x2 + -171x2 + -76x3 + (18x3 + 8x4)) = 0

Combine like terms: -240x + 531x = 291x
(-540 + 291x + 236x2 + -171x2 + -76x3 + 18x3 + 8x4) = 0

Combine like terms: 236x2 + -171x2 = 65x2
(-540 + 291x + 65x2 + -76x3 + 18x3 + 8x4) = 0

Combine like terms: -76x3 + 18x3 = -58x3
(-540 + 291x + 65x2 + -58x3 + 8x4) = 0

Solving
-540 + 291x + 65x2 + -58x3 + 8x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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