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 = 34x2
34x2 + 17x3 = -14x2 + 14x2

Combine like terms: -14x2 + 14x2 = 0
34x2 + 17x3 = 0

Factor out the Greatest Common Factor (GCF), '17x2'.
17x2(2 + x) = 0

Ignore the factor 17.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}