(x+3)(x+2)(x-7)(x-3)=-180

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Solution for (x+3)(x+2)(x-7)(x-3)=-180 equation: 


Simplifying
(x + 3)(x + 2)(x + -7)(x + -3) = -180

Reorder the terms:
(3 + x)(x + 2)(x + -7)(x + -3) = -180

Reorder the terms:
(3 + x)(2 + x)(x + -7)(x + -3) = -180

Reorder the terms:
(3 + x)(2 + x)(-7 + x)(x + -3) = -180

Reorder the terms:
(3 + x)(2 + x)(-7 + x)(-3 + x) = -180

Multiply (3 + x) * (2 + x)
(3(2 + x) + x(2 + x))(-7 + x)(-3 + x) = -180
((2 * 3 + x * 3) + x(2 + x))(-7 + x)(-3 + x) = -180
((6 + 3x) + x(2 + x))(-7 + x)(-3 + x) = -180
(6 + 3x + (2 * x + x * x))(-7 + x)(-3 + x) = -180
(6 + 3x + (2x + x2))(-7 + x)(-3 + x) = -180

Combine like terms: 3x + 2x = 5x
(6 + 5x + x2)(-7 + x)(-3 + x) = -180

Multiply (6 + 5x + x2) * (-7 + x)
(6(-7 + x) + 5x * (-7 + x) + x2(-7 + x))(-3 + x) = -180
((-7 * 6 + x * 6) + 5x * (-7 + x) + x2(-7 + x))(-3 + x) = -180
((-42 + 6x) + 5x * (-7 + x) + x2(-7 + x))(-3 + x) = -180
(-42 + 6x + (-7 * 5x + x * 5x) + x2(-7 + x))(-3 + x) = -180
(-42 + 6x + (-35x + 5x2) + x2(-7 + x))(-3 + x) = -180
(-42 + 6x + -35x + 5x2 + (-7 * x2 + x * x2))(-3 + x) = -180
(-42 + 6x + -35x + 5x2 + (-7x2 + x3))(-3 + x) = -180

Combine like terms: 6x + -35x = -29x
(-42 + -29x + 5x2 + -7x2 + x3)(-3 + x) = -180

Combine like terms: 5x2 + -7x2 = -2x2
(-42 + -29x + -2x2 + x3)(-3 + x) = -180

Multiply (-42 + -29x + -2x2 + x3) * (-3 + x)
(-42(-3 + x) + -29x * (-3 + x) + -2x2 * (-3 + x) + x3(-3 + x)) = -180
((-3 * -42 + x * -42) + -29x * (-3 + x) + -2x2 * (-3 + x) + x3(-3 + x)) = -180
((126 + -42x) + -29x * (-3 + x) + -2x2 * (-3 + x) + x3(-3 + x)) = -180
(126 + -42x + (-3 * -29x + x * -29x) + -2x2 * (-3 + x) + x3(-3 + x)) = -180
(126 + -42x + (87x + -29x2) + -2x2 * (-3 + x) + x3(-3 + x)) = -180
(126 + -42x + 87x + -29x2 + (-3 * -2x2 + x * -2x2) + x3(-3 + x)) = -180
(126 + -42x + 87x + -29x2 + (6x2 + -2x3) + x3(-3 + x)) = -180
(126 + -42x + 87x + -29x2 + 6x2 + -2x3 + (-3 * x3 + x * x3)) = -180
(126 + -42x + 87x + -29x2 + 6x2 + -2x3 + (-3x3 + x4)) = -180

Combine like terms: -42x + 87x = 45x
(126 + 45x + -29x2 + 6x2 + -2x3 + -3x3 + x4) = -180

Combine like terms: -29x2 + 6x2 = -23x2
(126 + 45x + -23x2 + -2x3 + -3x3 + x4) = -180

Combine like terms: -2x3 + -3x3 = -5x3
(126 + 45x + -23x2 + -5x3 + x4) = -180

Solving
126 + 45x + -23x2 + -5x3 + x4 = -180

Solving for variable 'x'.

Reorder the terms:
126 + 180 + 45x + -23x2 + -5x3 + x4 = -180 + 180

Combine like terms: 126 + 180 = 306
306 + 45x + -23x2 + -5x3 + x4 = -180 + 180

Combine like terms: -180 + 180 = 0
306 + 45x + -23x2 + -5x3 + x4 = 0

The solution to this equation could not be determined.

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