(x-4)(x-2)(x+5)=0

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Solution for (x-4)(x-2)(x+5)=0 equation:


Simplifying
(x + -4)(x + -2)(x + 5) = 0

Reorder the terms:
(-4 + x)(x + -2)(x + 5) = 0

Reorder the terms:
(-4 + x)(-2 + x)(x + 5) = 0

Reorder the terms:
(-4 + x)(-2 + x)(5 + x) = 0

Multiply (-4 + x) * (-2 + x)
(-4(-2 + x) + x(-2 + x))(5 + x) = 0
((-2 * -4 + x * -4) + x(-2 + x))(5 + x) = 0
((8 + -4x) + x(-2 + x))(5 + x) = 0
(8 + -4x + (-2 * x + x * x))(5 + x) = 0
(8 + -4x + (-2x + x2))(5 + x) = 0

Combine like terms: -4x + -2x = -6x
(8 + -6x + x2)(5 + x) = 0

Multiply (8 + -6x + x2) * (5 + x)
(8(5 + x) + -6x * (5 + x) + x2(5 + x)) = 0
((5 * 8 + x * 8) + -6x * (5 + x) + x2(5 + x)) = 0
((40 + 8x) + -6x * (5 + x) + x2(5 + x)) = 0
(40 + 8x + (5 * -6x + x * -6x) + x2(5 + x)) = 0
(40 + 8x + (-30x + -6x2) + x2(5 + x)) = 0
(40 + 8x + -30x + -6x2 + (5 * x2 + x * x2)) = 0
(40 + 8x + -30x + -6x2 + (5x2 + x3)) = 0

Combine like terms: 8x + -30x = -22x
(40 + -22x + -6x2 + 5x2 + x3) = 0

Combine like terms: -6x2 + 5x2 = -1x2
(40 + -22x + -1x2 + x3) = 0

Solving
40 + -22x + -1x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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