3x(x+7)+2x=

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Solution for 3x(x+7)+2x= equation: 


Simplifying
3x(x + 7) + 2x = 0

Reorder the terms:
3x(7 + x) + 2x = 0
(7 * 3x + x * 3x) + 2x = 0
(21x + 3x2) + 2x = 0

Reorder the terms:
21x + 2x + 3x2 = 0

Combine like terms: 21x + 2x = 23x
23x + 3x2 = 0

Solving
23x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(23 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(23 + 3x)' equal to zero and attempt to solve:

Simplifying
23 + 3x = 0

Solving
23 + 3x = 0

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

Add '-23' to each side of the equation.
23 + -23 + 3x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 3x = 0 + -23
3x = 0 + -23

Combine like terms: 0 + -23 = -23
3x = -23

Divide each side by '3'.
x = -7.666666667

Simplifying
x = -7.666666667
Solution
x = {0, -7.666666667}

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