50=4a(6-a)(5-a)

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Solution for 50=4a(6-a)(5-a) equation: 


Simplifying
50 = 4a(6 + -1a)(5 + -1a)

Multiply (6 + -1a) * (5 + -1a)
50 = 4a(6(5 + -1a) + -1a * (5 + -1a))
50 = 4a((5 * 6 + -1a * 6) + -1a * (5 + -1a))
50 = 4a((30 + -6a) + -1a * (5 + -1a))
50 = 4a(30 + -6a + (5 * -1a + -1a * -1a))
50 = 4a(30 + -6a + (-5a + 1a2))

Combine like terms: -6a + -5a = -11a
50 = 4a(30 + -11a + 1a2)
50 = (30 * 4a + -11a * 4a + 1a2 * 4a)
50 = (120a + -44a2 + 4a3)

Solving
50 = 120a + -44a2 + 4a3

Solving for variable 'a'.

Reorder the terms:
50 + -120a + 44a2 + -4a3 = 120a + -120a + -44a2 + 44a2 + 4a3 + -4a3

Combine like terms: 120a + -120a = 0
50 + -120a + 44a2 + -4a3 = 0 + -44a2 + 44a2 + 4a3 + -4a3
50 + -120a + 44a2 + -4a3 = -44a2 + 44a2 + 4a3 + -4a3

Combine like terms: -44a2 + 44a2 = 0
50 + -120a + 44a2 + -4a3 = 0 + 4a3 + -4a3
50 + -120a + 44a2 + -4a3 = 4a3 + -4a3

Combine like terms: 4a3 + -4a3 = 0
50 + -120a + 44a2 + -4a3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -60a + 22a2 + -2a3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(25 + -60a + 22a2 + -2a3)' equal to zero and attempt to solve:

Simplifying
25 + -60a + 22a2 + -2a3 = 0

Solving
25 + -60a + 22a2 + -2a3 = 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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