(4x+32)(x^2-4x+3)=0

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Solution for (4x+32)(x^2-4x+3)=0 equation:


Simplifying
(4x + 32)(x2 + -4x + 3) = 0

Reorder the terms:
(32 + 4x)(x2 + -4x + 3) = 0

Reorder the terms:
(32 + 4x)(3 + -4x + x2) = 0

Multiply (32 + 4x) * (3 + -4x + x2)
(32(3 + -4x + x2) + 4x * (3 + -4x + x2)) = 0
((3 * 32 + -4x * 32 + x2 * 32) + 4x * (3 + -4x + x2)) = 0
((96 + -128x + 32x2) + 4x * (3 + -4x + x2)) = 0
(96 + -128x + 32x2 + (3 * 4x + -4x * 4x + x2 * 4x)) = 0
(96 + -128x + 32x2 + (12x + -16x2 + 4x3)) = 0

Reorder the terms:
(96 + -128x + 12x + 32x2 + -16x2 + 4x3) = 0

Combine like terms: -128x + 12x = -116x
(96 + -116x + 32x2 + -16x2 + 4x3) = 0

Combine like terms: 32x2 + -16x2 = 16x2
(96 + -116x + 16x2 + 4x3) = 0

Solving
96 + -116x + 16x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + -29x + 4x2 + x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(24 + -29x + 4x2 + x3)' equal to zero and attempt to solve: Simplifying 24 + -29x + 4x2 + x3 = 0 Solving 24 + -29x + 4x2 + x3 = 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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