8x^2=59x

Solution for 8x^2=59x equation:

Simplifying
8x2 = 59x

Solving
8x2 = 59x

Solving for variable 'x'.

Reorder the terms:
-59x + 8x2 = 59x + -59x

Combine like terms: 59x + -59x = 0
-59x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-59 + 8x) = 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 + 8x)' equal to zero and attempt to solve:

Simplifying
-59 + 8x = 0

Solving
-59 + 8x = 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 + 8x = 0 + 59

Combine like terms: -59 + 59 = 0
0 + 8x = 0 + 59
8x = 0 + 59

Combine like terms: 0 + 59 = 59
8x = 59

Divide each side by '8'.
x = 7.375

Simplifying
x = 7.375
Solution
x = {0, 7.375}