(3x+5)(x)=22

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Solution for (3x+5)(x)=22 equation: 


Simplifying
(3x + 5)(x) = 22

Reorder the terms:
(5 + 3x)(x) = 22

Reorder the terms for easier multiplication:
x(5 + 3x) = 22
(5 * x + 3x * x) = 22
(5x + 3x2) = 22

Solving
5x + 3x2 = 22

Solving for variable 'x'.

Reorder the terms:
-22 + 5x + 3x2 = 22 + -22

Combine like terms: 22 + -22 = 0
-22 + 5x + 3x2 = 0

Factor a trinomial.
(-11 + -3x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-11 + -3x)' equal to zero and attempt to solve:

Simplifying
-11 + -3x = 0

Solving
-11 + -3x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -3x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3x = 0 + 11
-3x = 0 + 11

Combine like terms: 0 + 11 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

Subproblem 2
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
Solution
x = {-3.666666667, 2}

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