(a+10)(a-1)=

Solution for (a+10)(a-1)= equation:

Simplifying
(a + 10)(a + -1) = 0

Reorder the terms:
(10 + a)(a + -1) = 0

Reorder the terms:
(10 + a)(-1 + a) = 0

Multiply (10 + a) * (-1 + a)
(10(-1 + a) + a(-1 + a)) = 0
((-1 * 10 + a * 10) + a(-1 + a)) = 0
((-10 + 10a) + a(-1 + a)) = 0
(-10 + 10a + (-1 * a + a * a)) = 0
(-10 + 10a + (-1a + a2)) = 0

Combine like terms: 10a + -1a = 9a
(-10 + 9a + a2) = 0

Solving
-10 + 9a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-10 + -1a = 0

Solving
-10 + -1a = 0

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

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

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

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

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

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

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Solution
a = {-10, 1}