(4x)(x+1)(4-x)=48

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Solution for (4x)(x+1)(4-x)=48 equation:


Simplifying
(4x)(x + 1)(4 + -1x) = 48

Remove parenthesis around (4x)
4x(x + 1)(4 + -1x) = 48

Reorder the terms:
4x(1 + x)(4 + -1x) = 48

Multiply (1 + x) * (4 + -1x)
4x(1(4 + -1x) + x(4 + -1x)) = 48
4x((4 * 1 + -1x * 1) + x(4 + -1x)) = 48
4x((4 + -1x) + x(4 + -1x)) = 48
4x(4 + -1x + (4 * x + -1x * x)) = 48
4x(4 + -1x + (4x + -1x2)) = 48

Combine like terms: -1x + 4x = 3x
4x(4 + 3x + -1x2) = 48
(4 * 4x + 3x * 4x + -1x2 * 4x) = 48
(16x + 12x2 + -4x3) = 48

Solving
16x + 12x2 + -4x3 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 16x + 12x2 + -4x3 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 16x + 12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + 4x + 3x2 + -1x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-12 + 4x + 3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -12 + 4x + 3x2 + -1x3 = 0 Solving -12 + 4x + 3x2 + -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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