(x-4)(7x+6)(x+7)(x-13)=0

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Solution for (x-4)(7x+6)(x+7)(x-13)=0 equation:


Simplifying
(x + -4)(7x + 6)(x + 7)(x + -13) = 0

Reorder the terms:
(-4 + x)(7x + 6)(x + 7)(x + -13) = 0

Reorder the terms:
(-4 + x)(6 + 7x)(x + 7)(x + -13) = 0

Reorder the terms:
(-4 + x)(6 + 7x)(7 + x)(x + -13) = 0

Reorder the terms:
(-4 + x)(6 + 7x)(7 + x)(-13 + x) = 0

Multiply (-4 + x) * (6 + 7x)
(-4(6 + 7x) + x(6 + 7x))(7 + x)(-13 + x) = 0
((6 * -4 + 7x * -4) + x(6 + 7x))(7 + x)(-13 + x) = 0
((-24 + -28x) + x(6 + 7x))(7 + x)(-13 + x) = 0
(-24 + -28x + (6 * x + 7x * x))(7 + x)(-13 + x) = 0
(-24 + -28x + (6x + 7x2))(7 + x)(-13 + x) = 0

Combine like terms: -28x + 6x = -22x
(-24 + -22x + 7x2)(7 + x)(-13 + x) = 0

Multiply (-24 + -22x + 7x2) * (7 + x)
(-24(7 + x) + -22x * (7 + x) + 7x2 * (7 + x))(-13 + x) = 0
((7 * -24 + x * -24) + -22x * (7 + x) + 7x2 * (7 + x))(-13 + x) = 0
((-168 + -24x) + -22x * (7 + x) + 7x2 * (7 + x))(-13 + x) = 0
(-168 + -24x + (7 * -22x + x * -22x) + 7x2 * (7 + x))(-13 + x) = 0
(-168 + -24x + (-154x + -22x2) + 7x2 * (7 + x))(-13 + x) = 0
(-168 + -24x + -154x + -22x2 + (7 * 7x2 + x * 7x2))(-13 + x) = 0
(-168 + -24x + -154x + -22x2 + (49x2 + 7x3))(-13 + x) = 0

Combine like terms: -24x + -154x = -178x
(-168 + -178x + -22x2 + 49x2 + 7x3)(-13 + x) = 0

Combine like terms: -22x2 + 49x2 = 27x2
(-168 + -178x + 27x2 + 7x3)(-13 + x) = 0

Multiply (-168 + -178x + 27x2 + 7x3) * (-13 + x)
(-168(-13 + x) + -178x * (-13 + x) + 27x2 * (-13 + x) + 7x3 * (-13 + x)) = 0
((-13 * -168 + x * -168) + -178x * (-13 + x) + 27x2 * (-13 + x) + 7x3 * (-13 + x)) = 0
((2184 + -168x) + -178x * (-13 + x) + 27x2 * (-13 + x) + 7x3 * (-13 + x)) = 0
(2184 + -168x + (-13 * -178x + x * -178x) + 27x2 * (-13 + x) + 7x3 * (-13 + x)) = 0
(2184 + -168x + (2314x + -178x2) + 27x2 * (-13 + x) + 7x3 * (-13 + x)) = 0
(2184 + -168x + 2314x + -178x2 + (-13 * 27x2 + x * 27x2) + 7x3 * (-13 + x)) = 0
(2184 + -168x + 2314x + -178x2 + (-351x2 + 27x3) + 7x3 * (-13 + x)) = 0
(2184 + -168x + 2314x + -178x2 + -351x2 + 27x3 + (-13 * 7x3 + x * 7x3)) = 0
(2184 + -168x + 2314x + -178x2 + -351x2 + 27x3 + (-91x3 + 7x4)) = 0

Combine like terms: -168x + 2314x = 2146x
(2184 + 2146x + -178x2 + -351x2 + 27x3 + -91x3 + 7x4) = 0

Combine like terms: -178x2 + -351x2 = -529x2
(2184 + 2146x + -529x2 + 27x3 + -91x3 + 7x4) = 0

Combine like terms: 27x3 + -91x3 = -64x3
(2184 + 2146x + -529x2 + -64x3 + 7x4) = 0

Solving
2184 + 2146x + -529x2 + -64x3 + 7x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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