5x+3x(x+9)=

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Solution for 5x+3x(x+9)= equation: 


Simplifying
5x + 3x(x + 9) = 0

Reorder the terms:
5x + 3x(9 + x) = 0
5x + (9 * 3x + x * 3x) = 0
5x + (27x + 3x2) = 0

Combine like terms: 5x + 27x = 32x
32x + 3x2 = 0

Solving
32x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(32 + 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 '(32 + 3x)' equal to zero and attempt to solve:

Simplifying
32 + 3x = 0

Solving
32 + 3x = 0

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

Add '-32' to each side of the equation.
32 + -32 + 3x = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = 0 + -32
3x = 0 + -32

Combine like terms: 0 + -32 = -32
3x = -32

Divide each side by '3'.
x = -10.66666667

Simplifying
x = -10.66666667
Solution
x = {0, -10.66666667}

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