59x=16x^2

Solution for 59x=16x^2 equation:

Simplifying
59x = 16x2

Solving
59x = 16x2

Solving for variable 'x'.

Combine like terms: 16x2 + -16x2 = 0
59x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(59 + -16x) = 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 '(59 + -16x)' equal to zero and attempt to solve:

Simplifying
59 + -16x = 0

Solving
59 + -16x = 0

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

Add '-59' to each side of the equation.
59 + -59 + -16x = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -16x = 0 + -59
-16x = 0 + -59

Combine like terms: 0 + -59 = -59
-16x = -59

Divide each side by '-16'.
x = 3.6875

Simplifying
x = 3.6875
Solution
x = {0, 3.6875}