5(6x+5)(2x+1)=0

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Solution for 5(6x+5)(2x+1)=0 equation: 


Simplifying
5(6x + 5)(2x + 1) = 0

Reorder the terms:
5(5 + 6x)(2x + 1) = 0

Reorder the terms:
5(5 + 6x)(1 + 2x) = 0

Multiply (5 + 6x) * (1 + 2x)
5(5(1 + 2x) + 6x * (1 + 2x)) = 0
5((1 * 5 + 2x * 5) + 6x * (1 + 2x)) = 0
5((5 + 10x) + 6x * (1 + 2x)) = 0
5(5 + 10x + (1 * 6x + 2x * 6x)) = 0
5(5 + 10x + (6x + 12x2)) = 0

Combine like terms: 10x + 6x = 16x
5(5 + 16x + 12x2) = 0
(5 * 5 + 16x * 5 + 12x2 * 5) = 0
(25 + 80x + 60x2) = 0

Solving
25 + 80x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + 16x + 12x2) = 0

Factor a trinomial.
5((5 + 6x)(1 + 2x)) = 0

Ignore the factor 5.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-0.8333333333, -0.5}

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