(x-6)(x+1)=-10

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

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

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

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

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

Combine like terms: -6x + 1x = -5x
(-6 + -5x + x2) = -10

Solving
-6 + -5x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
-6 + 10 + -5x + x2 = -10 + 10

Combine like terms: -6 + 10 = 4
4 + -5x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
4 + -5x + x2 = 0

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

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1
Subproblem 2
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
Solution
x = {1, 4}