(x^2)+0.18x=7x

Solution for (x^2)+0.18x=7x equation:

Simplifying
(x2) + 0.18x = 7x
x2 + 0.18x = 7x

Reorder the terms:
0.18x + x2 = 7x

Solving
0.18x + x2 = 7x

Solving for variable 'x'.

Reorder the terms:
0.18x + -7x + x2 = 7x + -7x

Combine like terms: 0.18x + -7x = -6.82x
-6.82x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-6.82x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6.82 + x) = 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 '(-6.82 + x)' equal to zero and attempt to solve:

Simplifying
-6.82 + x = 0

Solving
-6.82 + x = 0

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

Add '6.82' to each side of the equation.
-6.82 + 6.82 + x = 0 + 6.82

Combine like terms: -6.82 + 6.82 = 0.00
0.00 + x = 0 + 6.82
x = 0 + 6.82

Combine like terms: 0 + 6.82 = 6.82
x = 6.82

Simplifying
x = 6.82
Solution
x = {0, 6.82}