(x+5)(x-2)(x-7)=0

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Solution for (x+5)(x-2)(x-7)=0 equation: 


Simplifying
(x + 5)(x + -2)(x + -7) = 0

Reorder the terms:
(5 + x)(x + -2)(x + -7) = 0

Reorder the terms:
(5 + x)(-2 + x)(x + -7) = 0

Reorder the terms:
(5 + x)(-2 + x)(-7 + x) = 0

Multiply (5 + x) * (-2 + x)
(5(-2 + x) + x(-2 + x))(-7 + x) = 0
((-2 * 5 + x * 5) + x(-2 + x))(-7 + x) = 0
((-10 + 5x) + x(-2 + x))(-7 + x) = 0
(-10 + 5x + (-2 * x + x * x))(-7 + x) = 0
(-10 + 5x + (-2x + x2))(-7 + x) = 0

Combine like terms: 5x + -2x = 3x
(-10 + 3x + x2)(-7 + x) = 0

Multiply (-10 + 3x + x2) * (-7 + x)
(-10(-7 + x) + 3x * (-7 + x) + x2(-7 + x)) = 0
((-7 * -10 + x * -10) + 3x * (-7 + x) + x2(-7 + x)) = 0
((70 + -10x) + 3x * (-7 + x) + x2(-7 + x)) = 0
(70 + -10x + (-7 * 3x + x * 3x) + x2(-7 + x)) = 0
(70 + -10x + (-21x + 3x2) + x2(-7 + x)) = 0
(70 + -10x + -21x + 3x2 + (-7 * x2 + x * x2)) = 0
(70 + -10x + -21x + 3x2 + (-7x2 + x3)) = 0

Combine like terms: -10x + -21x = -31x
(70 + -31x + 3x2 + -7x2 + x3) = 0

Combine like terms: 3x2 + -7x2 = -4x2
(70 + -31x + -4x2 + x3) = 0

Solving
70 + -31x + -4x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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