27x=7x^2

Solution for 27x=7x^2 equation:

Simplifying
27x = 7x2

Solving
27x = 7x2

Solving for variable 'x'.

Combine like terms: 7x2 + -7x2 = 0
27x + -7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(27 + -7x) = 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 '(27 + -7x)' equal to zero and attempt to solve:

Simplifying
27 + -7x = 0

Solving
27 + -7x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -7x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -7x = 0 + -27
-7x = 0 + -27

Combine like terms: 0 + -27 = -27
-7x = -27

Divide each side by '-7'.
x = 3.857142857

Simplifying
x = 3.857142857
Solution
x = {0, 3.857142857}