3(x-5)(x-8)(x+5)=0

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Solution for 3(x-5)(x-8)(x+5)=0 equation: 


Simplifying
3(x + -5)(x + -8)(x + 5) = 0

Reorder the terms:
3(-5 + x)(x + -8)(x + 5) = 0

Reorder the terms:
3(-5 + x)(-8 + x)(x + 5) = 0

Reorder the terms:
3(-5 + x)(-8 + x)(5 + x) = 0

Multiply (-5 + x) * (-8 + x)
3(-5(-8 + x) + x(-8 + x))(5 + x) = 0
3((-8 * -5 + x * -5) + x(-8 + x))(5 + x) = 0
3((40 + -5x) + x(-8 + x))(5 + x) = 0
3(40 + -5x + (-8 * x + x * x))(5 + x) = 0
3(40 + -5x + (-8x + x2))(5 + x) = 0

Combine like terms: -5x + -8x = -13x
3(40 + -13x + x2)(5 + x) = 0

Multiply (40 + -13x + x2) * (5 + x)
3(40(5 + x) + -13x * (5 + x) + x2(5 + x)) = 0
3((5 * 40 + x * 40) + -13x * (5 + x) + x2(5 + x)) = 0
3((200 + 40x) + -13x * (5 + x) + x2(5 + x)) = 0
3(200 + 40x + (5 * -13x + x * -13x) + x2(5 + x)) = 0
3(200 + 40x + (-65x + -13x2) + x2(5 + x)) = 0
3(200 + 40x + -65x + -13x2 + (5 * x2 + x * x2)) = 0
3(200 + 40x + -65x + -13x2 + (5x2 + x3)) = 0

Combine like terms: 40x + -65x = -25x
3(200 + -25x + -13x2 + 5x2 + x3) = 0

Combine like terms: -13x2 + 5x2 = -8x2
3(200 + -25x + -8x2 + x3) = 0
(200 * 3 + -25x * 3 + -8x2 * 3 + x3 * 3) = 0
(600 + -75x + -24x2 + 3x3) = 0

Solving
600 + -75x + -24x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(200 + -25x + -8x2 + x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(200 + -25x + -8x2 + x3)' equal to zero and attempt to solve:

Simplifying
200 + -25x + -8x2 + x3 = 0

Solving
200 + -25x + -8x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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