48=(8-2x)(10-2x)(x)

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Solution for 48=(8-2x)(10-2x)(x) equation:


Simplifying
48 = (8 + -2x)(10 + -2x)(x)

Reorder the terms for easier multiplication:
48 = x(8 + -2x)(10 + -2x)

Multiply (8 + -2x) * (10 + -2x)
48 = x(8(10 + -2x) + -2x * (10 + -2x))
48 = x((10 * 8 + -2x * 8) + -2x * (10 + -2x))
48 = x((80 + -16x) + -2x * (10 + -2x))
48 = x(80 + -16x + (10 * -2x + -2x * -2x))
48 = x(80 + -16x + (-20x + 4x2))

Combine like terms: -16x + -20x = -36x
48 = x(80 + -36x + 4x2)
48 = (80 * x + -36x * x + 4x2 * x)
48 = (80x + -36x2 + 4x3)

Solving
48 = 80x + -36x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
48 + -80x + 36x2 + -4x3 = 80x + -80x + -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: 80x + -80x = 0
48 + -80x + 36x2 + -4x3 = 0 + -36x2 + 36x2 + 4x3 + -4x3
48 + -80x + 36x2 + -4x3 = -36x2 + 36x2 + 4x3 + -4x3

Combine like terms: -36x2 + 36x2 = 0
48 + -80x + 36x2 + -4x3 = 0 + 4x3 + -4x3
48 + -80x + 36x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
48 + -80x + 36x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -20x + 9x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(12 + -20x + 9x2 + -1x3)' equal to zero and attempt to solve: Simplifying 12 + -20x + 9x2 + -1x3 = 0 Solving 12 + -20x + 9x2 + -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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