(x-2)(x-3)(x+4)(x+5)=1320

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Solution for (x-2)(x-3)(x+4)(x+5)=1320 equation: 


Simplifying
(x + -2)(x + -3)(x + 4)(x + 5) = 1320

Reorder the terms:
(-2 + x)(x + -3)(x + 4)(x + 5) = 1320

Reorder the terms:
(-2 + x)(-3 + x)(x + 4)(x + 5) = 1320

Reorder the terms:
(-2 + x)(-3 + x)(4 + x)(x + 5) = 1320

Reorder the terms:
(-2 + x)(-3 + x)(4 + x)(5 + x) = 1320

Multiply (-2 + x) * (-3 + x)
(-2(-3 + x) + x(-3 + x))(4 + x)(5 + x) = 1320
((-3 * -2 + x * -2) + x(-3 + x))(4 + x)(5 + x) = 1320
((6 + -2x) + x(-3 + x))(4 + x)(5 + x) = 1320
(6 + -2x + (-3 * x + x * x))(4 + x)(5 + x) = 1320
(6 + -2x + (-3x + x2))(4 + x)(5 + x) = 1320

Combine like terms: -2x + -3x = -5x
(6 + -5x + x2)(4 + x)(5 + x) = 1320

Multiply (6 + -5x + x2) * (4 + x)
(6(4 + x) + -5x * (4 + x) + x2(4 + x))(5 + x) = 1320
((4 * 6 + x * 6) + -5x * (4 + x) + x2(4 + x))(5 + x) = 1320
((24 + 6x) + -5x * (4 + x) + x2(4 + x))(5 + x) = 1320
(24 + 6x + (4 * -5x + x * -5x) + x2(4 + x))(5 + x) = 1320
(24 + 6x + (-20x + -5x2) + x2(4 + x))(5 + x) = 1320
(24 + 6x + -20x + -5x2 + (4 * x2 + x * x2))(5 + x) = 1320
(24 + 6x + -20x + -5x2 + (4x2 + x3))(5 + x) = 1320

Combine like terms: 6x + -20x = -14x
(24 + -14x + -5x2 + 4x2 + x3)(5 + x) = 1320

Combine like terms: -5x2 + 4x2 = -1x2
(24 + -14x + -1x2 + x3)(5 + x) = 1320

Multiply (24 + -14x + -1x2 + x3) * (5 + x)
(24(5 + x) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 1320
((5 * 24 + x * 24) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 1320
((120 + 24x) + -14x * (5 + x) + -1x2 * (5 + x) + x3(5 + x)) = 1320
(120 + 24x + (5 * -14x + x * -14x) + -1x2 * (5 + x) + x3(5 + x)) = 1320
(120 + 24x + (-70x + -14x2) + -1x2 * (5 + x) + x3(5 + x)) = 1320
(120 + 24x + -70x + -14x2 + (5 * -1x2 + x * -1x2) + x3(5 + x)) = 1320
(120 + 24x + -70x + -14x2 + (-5x2 + -1x3) + x3(5 + x)) = 1320
(120 + 24x + -70x + -14x2 + -5x2 + -1x3 + (5 * x3 + x * x3)) = 1320
(120 + 24x + -70x + -14x2 + -5x2 + -1x3 + (5x3 + x4)) = 1320

Combine like terms: 24x + -70x = -46x
(120 + -46x + -14x2 + -5x2 + -1x3 + 5x3 + x4) = 1320

Combine like terms: -14x2 + -5x2 = -19x2
(120 + -46x + -19x2 + -1x3 + 5x3 + x4) = 1320

Combine like terms: -1x3 + 5x3 = 4x3
(120 + -46x + -19x2 + 4x3 + x4) = 1320

Solving
120 + -46x + -19x2 + 4x3 + x4 = 1320

Solving for variable 'x'.

Reorder the terms:
120 + -1320 + -46x + -19x2 + 4x3 + x4 = 1320 + -1320

Combine like terms: 120 + -1320 = -1200
-1200 + -46x + -19x2 + 4x3 + x4 = 1320 + -1320

Combine like terms: 1320 + -1320 = 0
-1200 + -46x + -19x2 + 4x3 + x4 = 0

The solution to this equation could not be determined.

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