3x(x)=8(x+2)

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Solution for 3x(x)=8(x+2) equation: 


Simplifying
3x(x) = 8(x + 2)

Multiply x * x
3x2 = 8(x + 2)

Reorder the terms:
3x2 = 8(2 + x)
3x2 = (2 * 8 + x * 8)
3x2 = (16 + 8x)

Solving
3x2 = 16 + 8x

Solving for variable 'x'.

Reorder the terms:
-16 + -8x + 3x2 = 16 + 8x + -16 + -8x

Reorder the terms:
-16 + -8x + 3x2 = 16 + -16 + 8x + -8x

Combine like terms: 16 + -16 = 0
-16 + -8x + 3x2 = 0 + 8x + -8x
-16 + -8x + 3x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
-16 + -8x + 3x2 = 0

Factor a trinomial.
(-4 + -3x)(4 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {-1.333333333, 4}

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