(8x+2)(7+-6x)=0

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Solution for (8x+2)(7+-6x)=0 equation: 


Simplifying
(8x + 2)(7 + -6x) = 0

Reorder the terms:
(2 + 8x)(7 + -6x) = 0

Multiply (2 + 8x) * (7 + -6x)
(2(7 + -6x) + 8x * (7 + -6x)) = 0
((7 * 2 + -6x * 2) + 8x * (7 + -6x)) = 0
((14 + -12x) + 8x * (7 + -6x)) = 0
(14 + -12x + (7 * 8x + -6x * 8x)) = 0
(14 + -12x + (56x + -48x2)) = 0

Combine like terms: -12x + 56x = 44x
(14 + 44x + -48x2) = 0

Solving
14 + 44x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + 22x + -24x2) = 0

Factor a trinomial.
2((7 + -6x)(1 + 4x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {1.166666667, -0.25}

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