(5x+9)(9x+9)=

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


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

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

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

Multiply (9 + 5x) * (9 + 9x)
(9(9 + 9x) + 5x * (9 + 9x)) = 0
((9 * 9 + 9x * 9) + 5x * (9 + 9x)) = 0
((81 + 81x) + 5x * (9 + 9x)) = 0
(81 + 81x + (9 * 5x + 9x * 5x)) = 0
(81 + 81x + (45x + 45x2)) = 0

Combine like terms: 81x + 45x = 126x
(81 + 126x + 45x2) = 0

Solving
81 + 126x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(9 + 14x + 5x2) = 0

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

Ignore the factor 9.

Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 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 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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 = {-1.8, -1}

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