7x^3+22x-24x=0

Solution for 7x^3+22x-24x=0 equation:

Simplifying
7x3 + 22x + -24x = 0

Reorder the terms:
22x + -24x + 7x3 = 0

Combine like terms: 22x + -24x = -2x
-2x + 7x3 = 0

Solving
-2x + 7x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + 7x2) = 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 '(-2 + 7x2)' equal to zero and attempt to solve:

Simplifying
-2 + 7x2 = 0

Solving
-2 + 7x2 = 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 + 7x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x2 = 0 + 2
7x2 = 0 + 2

Combine like terms: 0 + 2 = 2
7x2 = 2

Divide each side by '7'.
x2 = 0.2857142857

Simplifying
x2 = 0.2857142857

Take the square root of each side:
x = {-0.534522484, 0.534522484}
Solution
x = {0, -0.534522484, 0.534522484}