(5*x^3-83*x^2)(373*x-195)=0

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Solution for (5*x^3-83*x^2)(373*x-195)=0 equation: 


Simplifying
(5x3 + -83x2)(373x + -195) = 0

Reorder the terms:
(-83x2 + 5x3)(373x + -195) = 0

Reorder the terms:
(-83x2 + 5x3)(-195 + 373x) = 0

Multiply (-83x2 + 5x3) * (-195 + 373x)
(-83x2 * (-195 + 373x) + 5x3 * (-195 + 373x)) = 0
((-195 * -83x2 + 373x * -83x2) + 5x3 * (-195 + 373x)) = 0
((16185x2 + -30959x3) + 5x3 * (-195 + 373x)) = 0
(16185x2 + -30959x3 + (-195 * 5x3 + 373x * 5x3)) = 0
(16185x2 + -30959x3 + (-975x3 + 1865x4)) = 0

Combine like terms: -30959x3 + -975x3 = -31934x3
(16185x2 + -31934x3 + 1865x4) = 0

Solving
16185x2 + -31934x3 + 1865x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(16185 + -31934x + 1865x2) = 0

Factor a trinomial.
x2((195 + -373x)(83 + -5x)) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(195 + -373x)' equal to zero and attempt to solve:

Simplifying
195 + -373x = 0

Solving
195 + -373x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-195' to each side of the equation.
195 + -195 + -373x = 0 + -195

Combine like terms: 195 + -195 = 0
0 + -373x = 0 + -195
-373x = 0 + -195

Combine like terms: 0 + -195 = -195
-373x = -195

Divide each side by '-373'.
x = 0.5227882038

Simplifying
x = 0.5227882038

Subproblem 3
Set the factor '(83 + -5x)' equal to zero and attempt to solve:

Simplifying
83 + -5x = 0

Solving
83 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-83' to each side of the equation.
83 + -83 + -5x = 0 + -83

Combine like terms: 83 + -83 = 0
0 + -5x = 0 + -83
-5x = 0 + -83

Combine like terms: 0 + -83 = -83
-5x = -83

Divide each side by '-5'.
x = 16.6

Simplifying
x = 16.6
Solution
x = {0, 0.5227882038, 16.6}

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