(5x+7)(6x+1)=0

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Solution for (5x+7)(6x+1)=0 equation: 


Simplifying
(5x + 7)(6x + 1) = 0

Reorder the terms:
(7 + 5x)(6x + 1) = 0

Reorder the terms:
(7 + 5x)(1 + 6x) = 0

Multiply (7 + 5x) * (1 + 6x)
(7(1 + 6x) + 5x * (1 + 6x)) = 0
((1 * 7 + 6x * 7) + 5x * (1 + 6x)) = 0
((7 + 42x) + 5x * (1 + 6x)) = 0
(7 + 42x + (1 * 5x + 6x * 5x)) = 0
(7 + 42x + (5x + 30x2)) = 0

Combine like terms: 42x + 5x = 47x
(7 + 47x + 30x2) = 0

Solving
7 + 47x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 5x)(1 + 6x) = 0


Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-1.4, -0.1666666667}

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