(3x*x*x-7x)(5-x)=0

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Solution for (3x*x*x-7x)(5-x)=0 equation:


Simplifying
(3x * x * x + -7x)(5 + -1x) = 0

Multiply x * x
(3x2 * x + -7x)(5 + -1x) = 0

Multiply x2 * x
(3x3 + -7x)(5 + -1x) = 0

Reorder the terms:
(-7x + 3x3)(5 + -1x) = 0

Multiply (-7x + 3x3) * (5 + -1x)
(-7x * (5 + -1x) + 3x3 * (5 + -1x)) = 0
((5 * -7x + -1x * -7x) + 3x3 * (5 + -1x)) = 0
((-35x + 7x2) + 3x3 * (5 + -1x)) = 0
(-35x + 7x2 + (5 * 3x3 + -1x * 3x3)) = 0
(-35x + 7x2 + (15x3 + -3x4)) = 0
(-35x + 7x2 + 15x3 + -3x4) = 0

Solving
-35x + 7x2 + 15x3 + -3x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + 7x + 15x2 + -3x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-35 + 7x + 15x2 + -3x3)' equal to zero and attempt to solve: Simplifying -35 + 7x + 15x2 + -3x3 = 0 Solving -35 + 7x + 15x2 + -3x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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