(6x+5)(9x+9)=0

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Solution for (6x+5)(9x+9)=0 equation: 


Simplifying
(6x + 5)(9x + 9) = 0

Reorder the terms:
(5 + 6x)(9x + 9) = 0

Reorder the terms:
(5 + 6x)(9 + 9x) = 0

Multiply (5 + 6x) * (9 + 9x)
(5(9 + 9x) + 6x * (9 + 9x)) = 0
((9 * 5 + 9x * 5) + 6x * (9 + 9x)) = 0
((45 + 45x) + 6x * (9 + 9x)) = 0
(45 + 45x + (9 * 6x + 9x * 6x)) = 0
(45 + 45x + (54x + 54x2)) = 0

Combine like terms: 45x + 54x = 99x
(45 + 99x + 54x2) = 0

Solving
45 + 99x + 54x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(5 + 11x + 6x2) = 0

Factor a trinomial.
9((1 + x)(5 + 6x)) = 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 '(5 + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6x = 0

Solving
5 + 6x = 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 + 6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x = 0 + -5
6x = 0 + -5

Combine like terms: 0 + -5 = -5
6x = -5

Divide each side by '6'.
x = -0.8333333333

Simplifying
x = -0.8333333333
Solution
x = {-1, -0.8333333333}

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