x(2+8x)=300

Solution for x(2+8x)=300 equation:

Simplifying
x(2 + 8x) = 300
(2 * x + 8x * x) = 300
(2x + 8x2) = 300

Solving
2x + 8x2 = 300

Solving for variable 'x'.

Reorder the terms:
-300 + 2x + 8x2 = 300 + -300

Combine like terms: 300 + -300 = 0
-300 + 2x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-150 + x + 4x2) = 0

Factor a trinomial.
2((-25 + -4x)(6 + -1x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-25 + -4x)' equal to zero and attempt to solve:

Simplifying
-25 + -4x = 0

Solving
-25 + -4x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -4x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -4x = 0 + 25
-4x = 0 + 25

Combine like terms: 0 + 25 = 25
-4x = 25

Divide each side by '-4'.
x = -6.25

Simplifying
x = -6.25
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-6.25, 6}