(x+2)(2x+1)(x^2-3x)(x-5)=54

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Solution for (x+2)(2x+1)(x^2-3x)(x-5)=54 equation: 


Simplifying
(x + 2)(2x + 1)(x2 + -3x)(x + -5) = 54

Reorder the terms:
(2 + x)(2x + 1)(x2 + -3x)(x + -5) = 54

Reorder the terms:
(2 + x)(1 + 2x)(x2 + -3x)(x + -5) = 54

Reorder the terms:
(2 + x)(1 + 2x)(-3x + x2)(x + -5) = 54

Reorder the terms:
(2 + x)(1 + 2x)(-3x + x2)(-5 + x) = 54

Multiply (2 + x) * (1 + 2x)
(2(1 + 2x) + x(1 + 2x))(-3x + x2)(-5 + x) = 54
((1 * 2 + 2x * 2) + x(1 + 2x))(-3x + x2)(-5 + x) = 54
((2 + 4x) + x(1 + 2x))(-3x + x2)(-5 + x) = 54
(2 + 4x + (1 * x + 2x * x))(-3x + x2)(-5 + x) = 54
(2 + 4x + (1x + 2x2))(-3x + x2)(-5 + x) = 54

Combine like terms: 4x + 1x = 5x
(2 + 5x + 2x2)(-3x + x2)(-5 + x) = 54

Multiply (2 + 5x + 2x2) * (-3x + x2)
(2(-3x + x2) + 5x * (-3x + x2) + 2x2 * (-3x + x2))(-5 + x) = 54
((-3x * 2 + x2 * 2) + 5x * (-3x + x2) + 2x2 * (-3x + x2))(-5 + x) = 54
((-6x + 2x2) + 5x * (-3x + x2) + 2x2 * (-3x + x2))(-5 + x) = 54
(-6x + 2x2 + (-3x * 5x + x2 * 5x) + 2x2 * (-3x + x2))(-5 + x) = 54
(-6x + 2x2 + (-15x2 + 5x3) + 2x2 * (-3x + x2))(-5 + x) = 54
(-6x + 2x2 + -15x2 + 5x3 + (-3x * 2x2 + x2 * 2x2))(-5 + x) = 54
(-6x + 2x2 + -15x2 + 5x3 + (-6x3 + 2x4))(-5 + x) = 54

Combine like terms: 2x2 + -15x2 = -13x2
(-6x + -13x2 + 5x3 + -6x3 + 2x4)(-5 + x) = 54

Combine like terms: 5x3 + -6x3 = -1x3
(-6x + -13x2 + -1x3 + 2x4)(-5 + x) = 54

Multiply (-6x + -13x2 + -1x3 + 2x4) * (-5 + x)
(-6x * (-5 + x) + -13x2 * (-5 + x) + -1x3 * (-5 + x) + 2x4 * (-5 + x)) = 54
((-5 * -6x + x * -6x) + -13x2 * (-5 + x) + -1x3 * (-5 + x) + 2x4 * (-5 + x)) = 54
((30x + -6x2) + -13x2 * (-5 + x) + -1x3 * (-5 + x) + 2x4 * (-5 + x)) = 54
(30x + -6x2 + (-5 * -13x2 + x * -13x2) + -1x3 * (-5 + x) + 2x4 * (-5 + x)) = 54
(30x + -6x2 + (65x2 + -13x3) + -1x3 * (-5 + x) + 2x4 * (-5 + x)) = 54
(30x + -6x2 + 65x2 + -13x3 + (-5 * -1x3 + x * -1x3) + 2x4 * (-5 + x)) = 54
(30x + -6x2 + 65x2 + -13x3 + (5x3 + -1x4) + 2x4 * (-5 + x)) = 54
(30x + -6x2 + 65x2 + -13x3 + 5x3 + -1x4 + (-5 * 2x4 + x * 2x4)) = 54
(30x + -6x2 + 65x2 + -13x3 + 5x3 + -1x4 + (-10x4 + 2x5)) = 54

Combine like terms: -6x2 + 65x2 = 59x2
(30x + 59x2 + -13x3 + 5x3 + -1x4 + -10x4 + 2x5) = 54

Combine like terms: -13x3 + 5x3 = -8x3
(30x + 59x2 + -8x3 + -1x4 + -10x4 + 2x5) = 54

Combine like terms: -1x4 + -10x4 = -11x4
(30x + 59x2 + -8x3 + -11x4 + 2x5) = 54

Solving
30x + 59x2 + -8x3 + -11x4 + 2x5 = 54

Solving for variable 'x'.

Reorder the terms:
-54 + 30x + 59x2 + -8x3 + -11x4 + 2x5 = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + 30x + 59x2 + -8x3 + -11x4 + 2x5 = 0

The solution to this equation could not be determined.

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