(7x+8)(1-6x)=0

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Solution for (7x+8)(1-6x)=0 equation: 


Simplifying
(7x + 8)(1 + -6x) = 0

Reorder the terms:
(8 + 7x)(1 + -6x) = 0

Multiply (8 + 7x) * (1 + -6x)
(8(1 + -6x) + 7x * (1 + -6x)) = 0
((1 * 8 + -6x * 8) + 7x * (1 + -6x)) = 0
((8 + -48x) + 7x * (1 + -6x)) = 0
(8 + -48x + (1 * 7x + -6x * 7x)) = 0
(8 + -48x + (7x + -42x2)) = 0

Combine like terms: -48x + 7x = -41x
(8 + -41x + -42x2) = 0

Solving
8 + -41x + -42x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -6x)(8 + 7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + 7x)' equal to zero and attempt to solve:

Simplifying
8 + 7x = 0

Solving
8 + 7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 0 + -8
7x = 0 + -8

Combine like terms: 0 + -8 = -8
7x = -8

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143
Solution
x = {0.1666666667, -1.142857143}

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