x^2-(x+1)*6=10

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Solution for x^2-(x+1)*6=10 equation:


Simplifying
x2 + -1(x + 1) * 6 = 10

Reorder the terms:
x2 + -1(1 + x) * 6 = 10

Reorder the terms for easier multiplication:
x2 + -1 * 6(1 + x) = 10

Multiply -1 * 6
x2 + -6(1 + x) = 10
x2 + (1 * -6 + x * -6) = 10
x2 + (-6 + -6x) = 10

Reorder the terms:
-6 + -6x + x2 = 10

Solving
-6 + -6x + x2 = 10

Solving for variable 'x'.

Reorder the terms:
-6 + -10 + -6x + x2 = 10 + -10

Combine like terms: -6 + -10 = -16
-16 + -6x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-16 + -6x + x2 = 0

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


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-2, 8}

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