498=(20-2x)(15-2x)(x)

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Solution for 498=(20-2x)(15-2x)(x) equation: 


Simplifying
498 = (20 + -2x)(15 + -2x)(x)

Reorder the terms for easier multiplication:
498 = x(20 + -2x)(15 + -2x)

Multiply (20 + -2x) * (15 + -2x)
498 = x(20(15 + -2x) + -2x * (15 + -2x))
498 = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))
498 = x((300 + -40x) + -2x * (15 + -2x))
498 = x(300 + -40x + (15 * -2x + -2x * -2x))
498 = x(300 + -40x + (-30x + 4x2))

Combine like terms: -40x + -30x = -70x
498 = x(300 + -70x + 4x2)
498 = (300 * x + -70x * x + 4x2 * x)
498 = (300x + -70x2 + 4x3)

Solving
498 = 300x + -70x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
498 + -300x + 70x2 + -4x3 = 300x + -300x + -70x2 + 70x2 + 4x3 + -4x3

Combine like terms: 300x + -300x = 0
498 + -300x + 70x2 + -4x3 = 0 + -70x2 + 70x2 + 4x3 + -4x3
498 + -300x + 70x2 + -4x3 = -70x2 + 70x2 + 4x3 + -4x3

Combine like terms: -70x2 + 70x2 = 0
498 + -300x + 70x2 + -4x3 = 0 + 4x3 + -4x3
498 + -300x + 70x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
498 + -300x + 70x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(249 + -150x + 35x2 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(249 + -150x + 35x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
249 + -150x + 35x2 + -2x3 = 0

Solving
249 + -150x + 35x2 + -2x3 = 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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