(x+6)(x+1)(x-3)(x-7)=0

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Solution for (x+6)(x+1)(x-3)(x-7)=0 equation:


Simplifying
(x + 6)(x + 1)(x + -3)(x + -7) = 0

Reorder the terms:
(6 + x)(x + 1)(x + -3)(x + -7) = 0

Reorder the terms:
(6 + x)(1 + x)(x + -3)(x + -7) = 0

Reorder the terms:
(6 + x)(1 + x)(-3 + x)(x + -7) = 0

Reorder the terms:
(6 + x)(1 + x)(-3 + x)(-7 + x) = 0

Multiply (6 + x) * (1 + x)
(6(1 + x) + x(1 + x))(-3 + x)(-7 + x) = 0
((1 * 6 + x * 6) + x(1 + x))(-3 + x)(-7 + x) = 0
((6 + 6x) + x(1 + x))(-3 + x)(-7 + x) = 0
(6 + 6x + (1 * x + x * x))(-3 + x)(-7 + x) = 0
(6 + 6x + (1x + x2))(-3 + x)(-7 + x) = 0

Combine like terms: 6x + 1x = 7x
(6 + 7x + x2)(-3 + x)(-7 + x) = 0

Multiply (6 + 7x + x2) * (-3 + x)
(6(-3 + x) + 7x * (-3 + x) + x2(-3 + x))(-7 + x) = 0
((-3 * 6 + x * 6) + 7x * (-3 + x) + x2(-3 + x))(-7 + x) = 0
((-18 + 6x) + 7x * (-3 + x) + x2(-3 + x))(-7 + x) = 0
(-18 + 6x + (-3 * 7x + x * 7x) + x2(-3 + x))(-7 + x) = 0
(-18 + 6x + (-21x + 7x2) + x2(-3 + x))(-7 + x) = 0
(-18 + 6x + -21x + 7x2 + (-3 * x2 + x * x2))(-7 + x) = 0
(-18 + 6x + -21x + 7x2 + (-3x2 + x3))(-7 + x) = 0

Combine like terms: 6x + -21x = -15x
(-18 + -15x + 7x2 + -3x2 + x3)(-7 + x) = 0

Combine like terms: 7x2 + -3x2 = 4x2
(-18 + -15x + 4x2 + x3)(-7 + x) = 0

Multiply (-18 + -15x + 4x2 + x3) * (-7 + x)
(-18(-7 + x) + -15x * (-7 + x) + 4x2 * (-7 + x) + x3(-7 + x)) = 0
((-7 * -18 + x * -18) + -15x * (-7 + x) + 4x2 * (-7 + x) + x3(-7 + x)) = 0
((126 + -18x) + -15x * (-7 + x) + 4x2 * (-7 + x) + x3(-7 + x)) = 0
(126 + -18x + (-7 * -15x + x * -15x) + 4x2 * (-7 + x) + x3(-7 + x)) = 0
(126 + -18x + (105x + -15x2) + 4x2 * (-7 + x) + x3(-7 + x)) = 0
(126 + -18x + 105x + -15x2 + (-7 * 4x2 + x * 4x2) + x3(-7 + x)) = 0
(126 + -18x + 105x + -15x2 + (-28x2 + 4x3) + x3(-7 + x)) = 0
(126 + -18x + 105x + -15x2 + -28x2 + 4x3 + (-7 * x3 + x * x3)) = 0
(126 + -18x + 105x + -15x2 + -28x2 + 4x3 + (-7x3 + x4)) = 0

Combine like terms: -18x + 105x = 87x
(126 + 87x + -15x2 + -28x2 + 4x3 + -7x3 + x4) = 0

Combine like terms: -15x2 + -28x2 = -43x2
(126 + 87x + -43x2 + 4x3 + -7x3 + x4) = 0

Combine like terms: 4x3 + -7x3 = -3x3
(126 + 87x + -43x2 + -3x3 + x4) = 0

Solving
126 + 87x + -43x2 + -3x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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