(4x+4)(2x+9)=

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Solution for (4x+4)(2x+9)= equation: 


Simplifying
(4x + 4)(2x + 9) = 0

Reorder the terms:
(4 + 4x)(2x + 9) = 0

Reorder the terms:
(4 + 4x)(9 + 2x) = 0

Multiply (4 + 4x) * (9 + 2x)
(4(9 + 2x) + 4x * (9 + 2x)) = 0
((9 * 4 + 2x * 4) + 4x * (9 + 2x)) = 0
((36 + 8x) + 4x * (9 + 2x)) = 0
(36 + 8x + (9 * 4x + 2x * 4x)) = 0
(36 + 8x + (36x + 8x2)) = 0

Combine like terms: 8x + 36x = 44x
(36 + 44x + 8x2) = 0

Solving
36 + 44x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 11x + 2x2) = 0

Factor a trinomial.
4((9 + 2x)(1 + x)) = 0

Ignore the factor 4.

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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