320=x(20-2x)(14-2x)

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Solution for 320=x(20-2x)(14-2x) equation:


Simplifying
320 = x(20 + -2x)(14 + -2x)

Multiply (20 + -2x) * (14 + -2x)
320 = x(20(14 + -2x) + -2x * (14 + -2x))
320 = x((14 * 20 + -2x * 20) + -2x * (14 + -2x))
320 = x((280 + -40x) + -2x * (14 + -2x))
320 = x(280 + -40x + (14 * -2x + -2x * -2x))
320 = x(280 + -40x + (-28x + 4x2))

Combine like terms: -40x + -28x = -68x
320 = x(280 + -68x + 4x2)
320 = (280 * x + -68x * x + 4x2 * x)
320 = (280x + -68x2 + 4x3)

Solving
320 = 280x + -68x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
320 + -280x + 68x2 + -4x3 = 280x + -280x + -68x2 + 68x2 + 4x3 + -4x3

Combine like terms: 280x + -280x = 0
320 + -280x + 68x2 + -4x3 = 0 + -68x2 + 68x2 + 4x3 + -4x3
320 + -280x + 68x2 + -4x3 = -68x2 + 68x2 + 4x3 + -4x3

Combine like terms: -68x2 + 68x2 = 0
320 + -280x + 68x2 + -4x3 = 0 + 4x3 + -4x3
320 + -280x + 68x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
320 + -280x + 68x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(80 + -70x + 17x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(80 + -70x + 17x2 + -1x3)' equal to zero and attempt to solve: Simplifying 80 + -70x + 17x2 + -1x3 = 0 Solving 80 + -70x + 17x2 + -1x3 = 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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