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

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


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

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

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

Multiply (5 + 6x) * (5 + 5x)
(5(5 + 5x) + 6x * (5 + 5x)) = 0
((5 * 5 + 5x * 5) + 6x * (5 + 5x)) = 0
((25 + 25x) + 6x * (5 + 5x)) = 0
(25 + 25x + (5 * 6x + 5x * 6x)) = 0
(25 + 25x + (30x + 30x2)) = 0

Combine like terms: 25x + 30x = 55x
(25 + 55x + 30x2) = 0

Solving
25 + 55x + 30x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
5((1 + x)(5 + 6x)) = 0

Ignore the factor 5.

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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