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

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


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

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

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

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

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

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

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

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

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

Solving
140 + -13x + -8x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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