(x-8)(x-6)=8

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Solution for (x-8)(x-6)=8 equation:


Simplifying
(x + -8)(x + -6) = 8

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

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

Multiply (-8 + x) * (-6 + x)
(-8(-6 + x) + x(-6 + x)) = 8
((-6 * -8 + x * -8) + x(-6 + x)) = 8
((48 + -8x) + x(-6 + x)) = 8
(48 + -8x + (-6 * x + x * x)) = 8
(48 + -8x + (-6x + x2)) = 8

Combine like terms: -8x + -6x = -14x
(48 + -14x + x2) = 8

Solving
48 + -14x + x2 = 8

Solving for variable 'x'.

Reorder the terms:
48 + -8 + -14x + x2 = 8 + -8

Combine like terms: 48 + -8 = 40
40 + -14x + x2 = 8 + -8

Combine like terms: 8 + -8 = 0
40 + -14x + x2 = 0

Factor a trinomial.
(4 + -1x)(10 + -1x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

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

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

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {4, 10}

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