(x+3)(x+5)(x-6)=0

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Solution for (x+3)(x+5)(x-6)=0 equation:


Simplifying
(x + 3)(x + 5)(x + -6) = 0

Reorder the terms:
(3 + x)(x + 5)(x + -6) = 0

Reorder the terms:
(3 + x)(5 + x)(x + -6) = 0

Reorder the terms:
(3 + x)(5 + x)(-6 + x) = 0

Multiply (3 + x) * (5 + x)
(3(5 + x) + x(5 + x))(-6 + x) = 0
((5 * 3 + x * 3) + x(5 + x))(-6 + x) = 0
((15 + 3x) + x(5 + x))(-6 + x) = 0
(15 + 3x + (5 * x + x * x))(-6 + x) = 0
(15 + 3x + (5x + x2))(-6 + x) = 0

Combine like terms: 3x + 5x = 8x
(15 + 8x + x2)(-6 + x) = 0

Multiply (15 + 8x + x2) * (-6 + x)
(15(-6 + x) + 8x * (-6 + x) + x2(-6 + x)) = 0
((-6 * 15 + x * 15) + 8x * (-6 + x) + x2(-6 + x)) = 0
((-90 + 15x) + 8x * (-6 + x) + x2(-6 + x)) = 0
(-90 + 15x + (-6 * 8x + x * 8x) + x2(-6 + x)) = 0
(-90 + 15x + (-48x + 8x2) + x2(-6 + x)) = 0
(-90 + 15x + -48x + 8x2 + (-6 * x2 + x * x2)) = 0
(-90 + 15x + -48x + 8x2 + (-6x2 + x3)) = 0

Combine like terms: 15x + -48x = -33x
(-90 + -33x + 8x2 + -6x2 + x3) = 0

Combine like terms: 8x2 + -6x2 = 2x2
(-90 + -33x + 2x2 + x3) = 0

Solving
-90 + -33x + 2x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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