3x(x+9)=-5(x+9)

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


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

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

Reorder the terms:
27x + 3x2 = -5(9 + x)
27x + 3x2 = (9 * -5 + x * -5)
27x + 3x2 = (-45 + -5x)

Solving
27x + 3x2 = -45 + -5x

Solving for variable 'x'.

Reorder the terms:
45 + 27x + 5x + 3x2 = -45 + -5x + 45 + 5x

Combine like terms: 27x + 5x = 32x
45 + 32x + 3x2 = -45 + -5x + 45 + 5x

Reorder the terms:
45 + 32x + 3x2 = -45 + 45 + -5x + 5x

Combine like terms: -45 + 45 = 0
45 + 32x + 3x2 = 0 + -5x + 5x
45 + 32x + 3x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
45 + 32x + 3x2 = 0

Factor a trinomial.
(9 + x)(5 + 3x) = 0


Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

Add '-9' to each side of the equation.
9 + -9 + x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + x = 0 + -9
x = 0 + -9

Combine like terms: 0 + -9 = -9
x = -9

Simplifying
x = -9

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-9, -1.666666667}

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