(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.
(4 + x)(1 + x) = 0

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1
Solution
x = {-4, -1}