3*(x-8)+(x^2-8x-2)=10

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Solution for 3*(x-8)+(x^2-8x-2)=10 equation: 


Simplifying
3(x + -8) + (x2 + -8x + -2) = 10

Reorder the terms:
3(-8 + x) + (x2 + -8x + -2) = 10
(-8 * 3 + x * 3) + (x2 + -8x + -2) = 10
(-24 + 3x) + (x2 + -8x + -2) = 10

Reorder the terms:
-24 + 3x + (-2 + -8x + x2) = 10

Remove parenthesis around (-2 + -8x + x2)
-24 + 3x + -2 + -8x + x2 = 10

Reorder the terms:
-24 + -2 + 3x + -8x + x2 = 10

Combine like terms: -24 + -2 = -26
-26 + 3x + -8x + x2 = 10

Combine like terms: 3x + -8x = -5x
-26 + -5x + x2 = 10

Solving
-26 + -5x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
-26 + -10 + -5x + x2 = 10 + -10

Combine like terms: -26 + -10 = -36
-36 + -5x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-36 + -5x + x2 = 0

Factor a trinomial.
(-4 + -1x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-4, 9}

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