3(x^2+4)=20x

Solution for 3(x^2+4)=20x equation:

Simplifying
3(x2 + 4) = 20x

Reorder the terms:
3(4 + x2) = 20x
(4 * 3 + x2 * 3) = 20x
(12 + 3x2) = 20x

Solving
12 + 3x2 = 20x

Solving for variable 'x'.

Reorder the terms:
12 + -20x + 3x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
12 + -20x + 3x2 = 0

Factor a trinomial.
(2 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
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 = {0.6666666667, 6}