(x+4)(x-5)(x-7)(x+10)=0

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Solution for (x+4)(x-5)(x-7)(x+10)=0 equation: 


Simplifying
(x + 4)(x + -5)(x + -7)(x + 10) = 0

Reorder the terms:
(4 + x)(x + -5)(x + -7)(x + 10) = 0

Reorder the terms:
(4 + x)(-5 + x)(x + -7)(x + 10) = 0

Reorder the terms:
(4 + x)(-5 + x)(-7 + x)(x + 10) = 0

Reorder the terms:
(4 + x)(-5 + x)(-7 + x)(10 + x) = 0

Multiply (4 + x) * (-5 + x)
(4(-5 + x) + x(-5 + x))(-7 + x)(10 + x) = 0
((-5 * 4 + x * 4) + x(-5 + x))(-7 + x)(10 + x) = 0
((-20 + 4x) + x(-5 + x))(-7 + x)(10 + x) = 0
(-20 + 4x + (-5 * x + x * x))(-7 + x)(10 + x) = 0
(-20 + 4x + (-5x + x2))(-7 + x)(10 + x) = 0

Combine like terms: 4x + -5x = -1x
(-20 + -1x + x2)(-7 + x)(10 + x) = 0

Multiply (-20 + -1x + x2) * (-7 + x)
(-20(-7 + x) + -1x * (-7 + x) + x2(-7 + x))(10 + x) = 0
((-7 * -20 + x * -20) + -1x * (-7 + x) + x2(-7 + x))(10 + x) = 0
((140 + -20x) + -1x * (-7 + x) + x2(-7 + x))(10 + x) = 0
(140 + -20x + (-7 * -1x + x * -1x) + x2(-7 + x))(10 + x) = 0
(140 + -20x + (7x + -1x2) + x2(-7 + x))(10 + x) = 0
(140 + -20x + 7x + -1x2 + (-7 * x2 + x * x2))(10 + x) = 0
(140 + -20x + 7x + -1x2 + (-7x2 + x3))(10 + x) = 0

Combine like terms: -20x + 7x = -13x
(140 + -13x + -1x2 + -7x2 + x3)(10 + x) = 0

Combine like terms: -1x2 + -7x2 = -8x2
(140 + -13x + -8x2 + x3)(10 + x) = 0

Multiply (140 + -13x + -8x2 + x3) * (10 + x)
(140(10 + x) + -13x * (10 + x) + -8x2 * (10 + x) + x3(10 + x)) = 0
((10 * 140 + x * 140) + -13x * (10 + x) + -8x2 * (10 + x) + x3(10 + x)) = 0
((1400 + 140x) + -13x * (10 + x) + -8x2 * (10 + x) + x3(10 + x)) = 0
(1400 + 140x + (10 * -13x + x * -13x) + -8x2 * (10 + x) + x3(10 + x)) = 0
(1400 + 140x + (-130x + -13x2) + -8x2 * (10 + x) + x3(10 + x)) = 0
(1400 + 140x + -130x + -13x2 + (10 * -8x2 + x * -8x2) + x3(10 + x)) = 0
(1400 + 140x + -130x + -13x2 + (-80x2 + -8x3) + x3(10 + x)) = 0
(1400 + 140x + -130x + -13x2 + -80x2 + -8x3 + (10 * x3 + x * x3)) = 0
(1400 + 140x + -130x + -13x2 + -80x2 + -8x3 + (10x3 + x4)) = 0

Combine like terms: 140x + -130x = 10x
(1400 + 10x + -13x2 + -80x2 + -8x3 + 10x3 + x4) = 0

Combine like terms: -13x2 + -80x2 = -93x2
(1400 + 10x + -93x2 + -8x3 + 10x3 + x4) = 0

Combine like terms: -8x3 + 10x3 = 2x3
(1400 + 10x + -93x2 + 2x3 + x4) = 0

Solving
1400 + 10x + -93x2 + 2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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