7x^3=4x^2

Solution for 7x^3=4x^2 equation:

Simplifying
7x3 = 4x2

Solving
7x3 = 4x2

Solving for variable 'x'.

Reorder the terms:
-4x2 + 7x3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x2 + 7x3 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-4 + 7x) = 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 '(-4 + 7x)' equal to zero and attempt to solve:

Simplifying
-4 + 7x = 0

Solving
-4 + 7x = 0

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

Add '4' to each side of the equation.
-4 + 4 + 7x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 0 + 4
7x = 0 + 4

Combine like terms: 0 + 4 = 4
7x = 4

Divide each side by '7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {0, 0.5714285714}