(6x+8)(5x+1)=0

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Solution for (6x+8)(5x+1)=0 equation: 


Simplifying
(6x + 8)(5x + 1) = 0

Reorder the terms:
(8 + 6x)(5x + 1) = 0

Reorder the terms:
(8 + 6x)(1 + 5x) = 0

Multiply (8 + 6x) * (1 + 5x)
(8(1 + 5x) + 6x * (1 + 5x)) = 0
((1 * 8 + 5x * 8) + 6x * (1 + 5x)) = 0
((8 + 40x) + 6x * (1 + 5x)) = 0
(8 + 40x + (1 * 6x + 5x * 6x)) = 0
(8 + 40x + (6x + 30x2)) = 0

Combine like terms: 40x + 6x = 46x
(8 + 46x + 30x2) = 0

Solving
8 + 46x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 23x + 15x2) = 0

Factor a trinomial.
2((4 + 3x)(1 + 5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-1.333333333, -0.2}

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