(3x+4)(x-9)(10-5x)=0

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Solution for (3x+4)(x-9)(10-5x)=0 equation: 


Simplifying
(3x + 4)(x + -9)(10 + -5x) = 0

Reorder the terms:
(4 + 3x)(x + -9)(10 + -5x) = 0

Reorder the terms:
(4 + 3x)(-9 + x)(10 + -5x) = 0

Multiply (4 + 3x) * (-9 + x)
(4(-9 + x) + 3x * (-9 + x))(10 + -5x) = 0
((-9 * 4 + x * 4) + 3x * (-9 + x))(10 + -5x) = 0
((-36 + 4x) + 3x * (-9 + x))(10 + -5x) = 0
(-36 + 4x + (-9 * 3x + x * 3x))(10 + -5x) = 0
(-36 + 4x + (-27x + 3x2))(10 + -5x) = 0

Combine like terms: 4x + -27x = -23x
(-36 + -23x + 3x2)(10 + -5x) = 0

Multiply (-36 + -23x + 3x2) * (10 + -5x)
(-36(10 + -5x) + -23x * (10 + -5x) + 3x2 * (10 + -5x)) = 0
((10 * -36 + -5x * -36) + -23x * (10 + -5x) + 3x2 * (10 + -5x)) = 0
((-360 + 180x) + -23x * (10 + -5x) + 3x2 * (10 + -5x)) = 0
(-360 + 180x + (10 * -23x + -5x * -23x) + 3x2 * (10 + -5x)) = 0
(-360 + 180x + (-230x + 115x2) + 3x2 * (10 + -5x)) = 0
(-360 + 180x + -230x + 115x2 + (10 * 3x2 + -5x * 3x2)) = 0
(-360 + 180x + -230x + 115x2 + (30x2 + -15x3)) = 0

Combine like terms: 180x + -230x = -50x
(-360 + -50x + 115x2 + 30x2 + -15x3) = 0

Combine like terms: 115x2 + 30x2 = 145x2
(-360 + -50x + 145x2 + -15x3) = 0

Solving
-360 + -50x + 145x2 + -15x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-72 + -10x + 29x2 + -3x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-72 + -10x + 29x2 + -3x3)' equal to zero and attempt to solve:

Simplifying
-72 + -10x + 29x2 + -3x3 = 0

Solving
-72 + -10x + 29x2 + -3x3 = 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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