3x(3x+8)=20

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Solution for 3x(3x+8)=20 equation:


Simplifying
3x(3x + 8) = 20

Reorder the terms:
3x(8 + 3x) = 20
(8 * 3x + 3x * 3x) = 20
(24x + 9x2) = 20

Solving
24x + 9x2 = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 24x + 9x2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 24x + 9x2 = 0

Factor a trinomial.
(-10 + -3x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-10 + -3x)' equal to zero and attempt to solve:

Simplifying
-10 + -3x = 0

Solving
-10 + -3x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 0 + 10
-3x = 0 + 10

Combine like terms: 0 + 10 = 10
-3x = 10

Divide each side by '-3'.
x = -3.333333333

Simplifying
x = -3.333333333

Subproblem 2
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
Solution
x = {-3.333333333, 0.6666666667}

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