(x+1)(2x+9)=0

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Solution for (x+1)(2x+9)=0 equation: 


Simplifying
(x + 1)(2x + 9) = 0

Reorder the terms:
(1 + x)(2x + 9) = 0

Reorder the terms:
(1 + x)(9 + 2x) = 0

Multiply (1 + x) * (9 + 2x)
(1(9 + 2x) + x(9 + 2x)) = 0
((9 * 1 + 2x * 1) + x(9 + 2x)) = 0
((9 + 2x) + x(9 + 2x)) = 0
(9 + 2x + (9 * x + 2x * x)) = 0
(9 + 2x + (9x + 2x2)) = 0

Combine like terms: 2x + 9x = 11x
(9 + 11x + 2x2) = 0

Solving
9 + 11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 2x)(1 + x) = 0


Subproblem 1
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 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 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {-4.5, -1}

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