8x^2=55x

Solution for 8x^2=55x equation:

Simplifying
8x2 = 55x

Solving
8x2 = 55x

Solving for variable 'x'.

Reorder the terms:
-55x + 8x2 = 55x + -55x

Combine like terms: 55x + -55x = 0
-55x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-55 + 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 '(-55 + 8x)' equal to zero and attempt to solve:

Simplifying
-55 + 8x = 0

Solving
-55 + 8x = 0

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

Add '55' to each side of the equation.
-55 + 55 + 8x = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 8x = 0 + 55
8x = 0 + 55

Combine like terms: 0 + 55 = 55
8x = 55

Divide each side by '8'.
x = 6.875

Simplifying
x = 6.875
Solution
x = {0, 6.875}