(5x+4)(9x+9)=0

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Solution for (5x+4)(9x+9)=0 equation: 


Simplifying
(5x + 4)(9x + 9) = 0

Reorder the terms:
(4 + 5x)(9x + 9) = 0

Reorder the terms:
(4 + 5x)(9 + 9x) = 0

Multiply (4 + 5x) * (9 + 9x)
(4(9 + 9x) + 5x * (9 + 9x)) = 0
((9 * 4 + 9x * 4) + 5x * (9 + 9x)) = 0
((36 + 36x) + 5x * (9 + 9x)) = 0
(36 + 36x + (9 * 5x + 9x * 5x)) = 0
(36 + 36x + (45x + 45x2)) = 0

Combine like terms: 36x + 45x = 81x
(36 + 81x + 45x2) = 0

Solving
36 + 81x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + 9x + 5x2) = 0

Factor a trinomial.
9((1 + x)(4 + 5x)) = 0

Ignore the factor 9.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + 5x)' equal to zero and attempt to solve:

Simplifying
4 + 5x = 0

Solving
4 + 5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 0 + -4
5x = 0 + -4

Combine like terms: 0 + -4 = -4
5x = -4

Divide each side by '5'.
x = -0.8

Simplifying
x = -0.8
Solution
x = {-1, -0.8}

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