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

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


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

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

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

Multiply (1 + 2x) * (9 + x)
(1(9 + x) + 2x * (9 + x)) = 9
((9 * 1 + x * 1) + 2x * (9 + x)) = 9
((9 + 1x) + 2x * (9 + x)) = 9
(9 + 1x + (9 * 2x + x * 2x)) = 9
(9 + 1x + (18x + 2x2)) = 9

Combine like terms: 1x + 18x = 19x
(9 + 19x + 2x2) = 9

Add '-9' to each side of the equation.
9 + 19x + -9 + 2x2 = 9 + -9

Reorder the terms:
9 + -9 + 19x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + 19x + 2x2 = 9 + -9
19x + 2x2 = 9 + -9

Combine like terms: 9 + -9 = 0
19x + 2x2 = 0

Solving
19x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + 2x) = 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 '(19 + 2x)' equal to zero and attempt to solve:

Simplifying
19 + 2x = 0

Solving
19 + 2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + 2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + 2x = 0 + -19
2x = 0 + -19

Combine like terms: 0 + -19 = -19
2x = -19

Divide each side by '2'.
x = -9.5

Simplifying
x = -9.5
Solution
x = {0, -9.5}

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