(7x-1)(6x+2)=0

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Solution for (7x-1)(6x+2)=0 equation: 


Simplifying
(7x + -1)(6x + 2) = 0

Reorder the terms:
(-1 + 7x)(6x + 2) = 0

Reorder the terms:
(-1 + 7x)(2 + 6x) = 0

Multiply (-1 + 7x) * (2 + 6x)
(-1(2 + 6x) + 7x * (2 + 6x)) = 0
((2 * -1 + 6x * -1) + 7x * (2 + 6x)) = 0
((-2 + -6x) + 7x * (2 + 6x)) = 0
(-2 + -6x + (2 * 7x + 6x * 7x)) = 0
(-2 + -6x + (14x + 42x2)) = 0

Combine like terms: -6x + 14x = 8x
(-2 + 8x + 42x2) = 0

Solving
-2 + 8x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4x + 21x2) = 0

Factor a trinomial.
2((-1 + -3x)(1 + -7x)) = 0

Ignore the factor 2.

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

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 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 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
Set the factor '(1 + -7x)' equal to zero and attempt to solve:

Simplifying
1 + -7x = 0

Solving
1 + -7x = 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 + -7x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = 0 + -1
-7x = 0 + -1

Combine like terms: 0 + -1 = -1
-7x = -1

Divide each side by '-7'.
x = 0.1428571429

Simplifying
x = 0.1428571429
Solution
x = {-0.3333333333, 0.1428571429}

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