17x^3+20x^2=14x^2

Solution for 17x^3+20x^2=14x^2 equation:

Simplifying
17x3 + 20x2 = 14x2

Reorder the terms:
20x2 + 17x3 = 14x2

Solving
20x2 + 17x3 = 14x2

Solving for variable 'x'.

Reorder the terms:
20x2 + -14x2 + 17x3 = 14x2 + -14x2

Combine like terms: 20x2 + -14x2 = 6x2
6x2 + 17x3 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
6x2 + 17x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(6 + 17x) = 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 '(6 + 17x)' equal to zero and attempt to solve:

Simplifying
6 + 17x = 0

Solving
6 + 17x = 0

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

Add '-6' to each side of the equation.
6 + -6 + 17x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 17x = 0 + -6
17x = 0 + -6

Combine like terms: 0 + -6 = -6
17x = -6

Divide each side by '17'.
x = -0.3529411765

Simplifying
x = -0.3529411765
Solution
x = {0, -0.3529411765}