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

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


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

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

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

Multiply (8 + -7x) * (6 + -2x)
(8(6 + -2x) + -7x * (6 + -2x)) = 0
((6 * 8 + -2x * 8) + -7x * (6 + -2x)) = 0
((48 + -16x) + -7x * (6 + -2x)) = 0
(48 + -16x + (6 * -7x + -2x * -7x)) = 0
(48 + -16x + (-42x + 14x2)) = 0

Combine like terms: -16x + -42x = -58x
(48 + -58x + 14x2) = 0

Solving
48 + -58x + 14x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -29x + 7x2) = 0

Factor a trinomial.
2((8 + -7x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {1.142857143, 3}

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