a(a+8)(a-7)=0

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Solution for a(a+8)(a-7)=0 equation: 


Simplifying
a(a + 8)(a + -7) = 0

Reorder the terms:
a(8 + a)(a + -7) = 0

Reorder the terms:
a(8 + a)(-7 + a) = 0

Multiply (8 + a) * (-7 + a)
a(8(-7 + a) + a(-7 + a)) = 0
a((-7 * 8 + a * 8) + a(-7 + a)) = 0
a((-56 + 8a) + a(-7 + a)) = 0
a(-56 + 8a + (-7 * a + a * a)) = 0
a(-56 + 8a + (-7a + a2)) = 0

Combine like terms: 8a + -7a = 1a
a(-56 + 1a + a2) = 0
(-56 * a + 1a * a + a2 * a) = 0
(-56a + 1a2 + a3) = 0

Solving
-56a + 1a2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-56 + a + a2) = 0

Factor a trinomial.
a((-8 + -1a)(7 + -1a)) = 0


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

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0

Subproblem 2
Set the factor '(-8 + -1a)' equal to zero and attempt to solve:

Simplifying
-8 + -1a = 0

Solving
-8 + -1a = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1a = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1a = 0 + 8
-1a = 0 + 8

Combine like terms: 0 + 8 = 8
-1a = 8

Divide each side by '-1'.
a = -8

Simplifying
a = -8

Subproblem 3
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {0, -8, 7}

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