(2x-5)(x^2-4)(2x+3)-45=0

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Solution for (2x-5)(x^2-4)(2x+3)-45=0 equation:


Simplifying
(2x + -5)(x2 + -4)(2x + 3) + -45 = 0

Reorder the terms:
(-5 + 2x)(x2 + -4)(2x + 3) + -45 = 0

Reorder the terms:
(-5 + 2x)(-4 + x2)(2x + 3) + -45 = 0

Reorder the terms:
(-5 + 2x)(-4 + x2)(3 + 2x) + -45 = 0

Multiply (-5 + 2x) * (-4 + x2)
(-5(-4 + x2) + 2x * (-4 + x2))(3 + 2x) + -45 = 0
((-4 * -5 + x2 * -5) + 2x * (-4 + x2))(3 + 2x) + -45 = 0
((20 + -5x2) + 2x * (-4 + x2))(3 + 2x) + -45 = 0
(20 + -5x2 + (-4 * 2x + x2 * 2x))(3 + 2x) + -45 = 0
(20 + -5x2 + (-8x + 2x3))(3 + 2x) + -45 = 0

Reorder the terms:
(20 + -8x + -5x2 + 2x3)(3 + 2x) + -45 = 0
(20 + -8x + -5x2 + 2x3)(3 + 2x) + -45 = 0

Multiply (20 + -8x + -5x2 + 2x3) * (3 + 2x)
(20(3 + 2x) + -8x * (3 + 2x) + -5x2 * (3 + 2x) + 2x3 * (3 + 2x)) + -45 = 0
((3 * 20 + 2x * 20) + -8x * (3 + 2x) + -5x2 * (3 + 2x) + 2x3 * (3 + 2x)) + -45 = 0
((60 + 40x) + -8x * (3 + 2x) + -5x2 * (3 + 2x) + 2x3 * (3 + 2x)) + -45 = 0
(60 + 40x + (3 * -8x + 2x * -8x) + -5x2 * (3 + 2x) + 2x3 * (3 + 2x)) + -45 = 0
(60 + 40x + (-24x + -16x2) + -5x2 * (3 + 2x) + 2x3 * (3 + 2x)) + -45 = 0
(60 + 40x + -24x + -16x2 + (3 * -5x2 + 2x * -5x2) + 2x3 * (3 + 2x)) + -45 = 0
(60 + 40x + -24x + -16x2 + (-15x2 + -10x3) + 2x3 * (3 + 2x)) + -45 = 0
(60 + 40x + -24x + -16x2 + -15x2 + -10x3 + (3 * 2x3 + 2x * 2x3)) + -45 = 0
(60 + 40x + -24x + -16x2 + -15x2 + -10x3 + (6x3 + 4x4)) + -45 = 0

Combine like terms: 40x + -24x = 16x
(60 + 16x + -16x2 + -15x2 + -10x3 + 6x3 + 4x4) + -45 = 0

Combine like terms: -16x2 + -15x2 = -31x2
(60 + 16x + -31x2 + -10x3 + 6x3 + 4x4) + -45 = 0

Combine like terms: -10x3 + 6x3 = -4x3
(60 + 16x + -31x2 + -4x3 + 4x4) + -45 = 0

Reorder the terms:
60 + -45 + 16x + -31x2 + -4x3 + 4x4 = 0

Combine like terms: 60 + -45 = 15
15 + 16x + -31x2 + -4x3 + 4x4 = 0

Solving
15 + 16x + -31x2 + -4x3 + 4x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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