47x(x-2)(x-5)6=75

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Solution for 47x(x-2)(x-5)6=75 equation:


Simplifying
47x(x + -2)(x + -5) * 6 = 75

Reorder the terms:
47x(-2 + x)(x + -5) * 6 = 75

Reorder the terms:
47x(-2 + x)(-5 + x) * 6 = 75

Reorder the terms for easier multiplication:
47 * 6x(-2 + x)(-5 + x) = 75

Multiply 47 * 6
282x(-2 + x)(-5 + x) = 75

Multiply (-2 + x) * (-5 + x)
282x(-2(-5 + x) + x(-5 + x)) = 75
282x((-5 * -2 + x * -2) + x(-5 + x)) = 75
282x((10 + -2x) + x(-5 + x)) = 75
282x(10 + -2x + (-5 * x + x * x)) = 75
282x(10 + -2x + (-5x + x2)) = 75

Combine like terms: -2x + -5x = -7x
282x(10 + -7x + x2) = 75
(10 * 282x + -7x * 282x + x2 * 282x) = 75
(2820x + -1974x2 + 282x3) = 75

Solving
2820x + -1974x2 + 282x3 = 75

Solving for variable 'x'.

Reorder the terms:
-75 + 2820x + -1974x2 + 282x3 = 75 + -75

Combine like terms: 75 + -75 = 0
-75 + 2820x + -1974x2 + 282x3 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-25 + 940x + -658x2 + 94x3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-25 + 940x + -658x2 + 94x3)' equal to zero and attempt to solve: Simplifying -25 + 940x + -658x2 + 94x3 = 0 Solving -25 + 940x + -658x2 + 94x3 = 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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