(x-1)(5x+8)(x+6)(x-10)=0

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Solution for (x-1)(5x+8)(x+6)(x-10)=0 equation:


Simplifying
(x + -1)(5x + 8)(x + 6)(x + -10) = 0

Reorder the terms:
(-1 + x)(5x + 8)(x + 6)(x + -10) = 0

Reorder the terms:
(-1 + x)(8 + 5x)(x + 6)(x + -10) = 0

Reorder the terms:
(-1 + x)(8 + 5x)(6 + x)(x + -10) = 0

Reorder the terms:
(-1 + x)(8 + 5x)(6 + x)(-10 + x) = 0

Multiply (-1 + x) * (8 + 5x)
(-1(8 + 5x) + x(8 + 5x))(6 + x)(-10 + x) = 0
((8 * -1 + 5x * -1) + x(8 + 5x))(6 + x)(-10 + x) = 0
((-8 + -5x) + x(8 + 5x))(6 + x)(-10 + x) = 0
(-8 + -5x + (8 * x + 5x * x))(6 + x)(-10 + x) = 0
(-8 + -5x + (8x + 5x2))(6 + x)(-10 + x) = 0

Combine like terms: -5x + 8x = 3x
(-8 + 3x + 5x2)(6 + x)(-10 + x) = 0

Multiply (-8 + 3x + 5x2) * (6 + x)
(-8(6 + x) + 3x * (6 + x) + 5x2 * (6 + x))(-10 + x) = 0
((6 * -8 + x * -8) + 3x * (6 + x) + 5x2 * (6 + x))(-10 + x) = 0
((-48 + -8x) + 3x * (6 + x) + 5x2 * (6 + x))(-10 + x) = 0
(-48 + -8x + (6 * 3x + x * 3x) + 5x2 * (6 + x))(-10 + x) = 0
(-48 + -8x + (18x + 3x2) + 5x2 * (6 + x))(-10 + x) = 0
(-48 + -8x + 18x + 3x2 + (6 * 5x2 + x * 5x2))(-10 + x) = 0
(-48 + -8x + 18x + 3x2 + (30x2 + 5x3))(-10 + x) = 0

Combine like terms: -8x + 18x = 10x
(-48 + 10x + 3x2 + 30x2 + 5x3)(-10 + x) = 0

Combine like terms: 3x2 + 30x2 = 33x2
(-48 + 10x + 33x2 + 5x3)(-10 + x) = 0

Multiply (-48 + 10x + 33x2 + 5x3) * (-10 + x)
(-48(-10 + x) + 10x * (-10 + x) + 33x2 * (-10 + x) + 5x3 * (-10 + x)) = 0
((-10 * -48 + x * -48) + 10x * (-10 + x) + 33x2 * (-10 + x) + 5x3 * (-10 + x)) = 0
((480 + -48x) + 10x * (-10 + x) + 33x2 * (-10 + x) + 5x3 * (-10 + x)) = 0
(480 + -48x + (-10 * 10x + x * 10x) + 33x2 * (-10 + x) + 5x3 * (-10 + x)) = 0
(480 + -48x + (-100x + 10x2) + 33x2 * (-10 + x) + 5x3 * (-10 + x)) = 0
(480 + -48x + -100x + 10x2 + (-10 * 33x2 + x * 33x2) + 5x3 * (-10 + x)) = 0
(480 + -48x + -100x + 10x2 + (-330x2 + 33x3) + 5x3 * (-10 + x)) = 0
(480 + -48x + -100x + 10x2 + -330x2 + 33x3 + (-10 * 5x3 + x * 5x3)) = 0
(480 + -48x + -100x + 10x2 + -330x2 + 33x3 + (-50x3 + 5x4)) = 0

Combine like terms: -48x + -100x = -148x
(480 + -148x + 10x2 + -330x2 + 33x3 + -50x3 + 5x4) = 0

Combine like terms: 10x2 + -330x2 = -320x2
(480 + -148x + -320x2 + 33x3 + -50x3 + 5x4) = 0

Combine like terms: 33x3 + -50x3 = -17x3
(480 + -148x + -320x2 + -17x3 + 5x4) = 0

Solving
480 + -148x + -320x2 + -17x3 + 5x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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