28=(3x+8)x

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Solution for 28=(3x+8)x equation: 


Simplifying
28 = (3x + 8) * x

Reorder the terms:
28 = (8 + 3x) * x

Reorder the terms for easier multiplication:
28 = x(8 + 3x)
28 = (8 * x + 3x * x)
28 = (8x + 3x2)

Solving
28 = 8x + 3x2

Solving for variable 'x'.

Reorder the terms:
28 + -8x + -3x2 = 8x + -8x + 3x2 + -3x2

Combine like terms: 8x + -8x = 0
28 + -8x + -3x2 = 0 + 3x2 + -3x2
28 + -8x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
28 + -8x + -3x2 = 0

Factor a trinomial.
(2 + -1x)(14 + 3x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {2, -4.666666667}

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