(a-4)x(a+5)=

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Solution for (a-4)x(a+5)= equation: 


Simplifying
(a + -4) * x(a + 5) = 0

Reorder the terms:
(-4 + a) * x(a + 5) = 0

Reorder the terms:
(-4 + a) * x(5 + a) = 0

Reorder the terms for easier multiplication:
x(-4 + a)(5 + a) = 0

Multiply (-4 + a) * (5 + a)
x(-4(5 + a) + a(5 + a)) = 0
x((5 * -4 + a * -4) + a(5 + a)) = 0
x((-20 + -4a) + a(5 + a)) = 0
x(-20 + -4a + (5 * a + a * a)) = 0
x(-20 + -4a + (5a + a2)) = 0

Combine like terms: -4a + 5a = 1a
x(-20 + 1a + a2) = 0
(-20 * x + 1a * x + a2 * x) = 0

Reorder the terms:
(1ax + a2x + -20x) = 0
(1ax + a2x + -20x) = 0

Solving
1ax + a2x + -20x = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(a + a2 + -20) = 0

Factor a trinomial.
x((a + -4)(a + 5)) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(a + -4)' equal to zero and attempt to solve:

Simplifying
a + -4 = 0

Reorder the terms:
-4 + a = 0

Solving
-4 + a = 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 + a = 0 + 4

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

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

Simplifying
a = 4

Subproblem 3
Set the factor '(a + 5)' equal to zero and attempt to solve:

Simplifying
a + 5 = 0

Reorder the terms:
5 + a = 0

Solving
5 + a = 0

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

Add '-5' to each side of the equation.
5 + -5 + a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + a = 0 + -5
a = 0 + -5

Combine like terms: 0 + -5 = -5
a = -5

Simplifying
a = -5
Solution
a = {4, -5}

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