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

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


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

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

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

Multiply (6 + 5x) * (6 + 5x)
(6(6 + 5x) + 5x * (6 + 5x)) = 9
((6 * 6 + 5x * 6) + 5x * (6 + 5x)) = 9
((36 + 30x) + 5x * (6 + 5x)) = 9
(36 + 30x + (6 * 5x + 5x * 5x)) = 9
(36 + 30x + (30x + 25x2)) = 9

Combine like terms: 30x + 30x = 60x
(36 + 60x + 25x2) = 9

Solving
36 + 60x + 25x2 = 9

Solving for variable 'x'.

Reorder the terms:
36 + -9 + 60x + 25x2 = 9 + -9

Combine like terms: 36 + -9 = 27
27 + 60x + 25x2 = 9 + -9

Combine like terms: 9 + -9 = 0
27 + 60x + 25x2 = 0

Factor a trinomial.
(9 + 5x)(3 + 5x) = 0


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 '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-1.8, -0.6}

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