(a-4)(a+10)=

Solution for (a-4)(a+10)= equation:

Simplifying
(a + -4)(a + 10) = 0

Reorder the terms:
(-4 + a)(a + 10) = 0

Reorder the terms:
(-4 + a)(10 + a) = 0

Multiply (-4 + a) * (10 + a)
(-4(10 + a) + a(10 + a)) = 0
((10 * -4 + a * -4) + a(10 + a)) = 0
((-40 + -4a) + a(10 + a)) = 0
(-40 + -4a + (10 * a + a * a)) = 0
(-40 + -4a + (10a + a2)) = 0

Combine like terms: -4a + 10a = 6a
(-40 + 6a + a2) = 0

Solving
-40 + 6a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-10 + -1a)(4 + -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 '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-10, 4}