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

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


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

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

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

Multiply (7 + 8a) * (-7 + a)
(7(-7 + a) + 8a * (-7 + a)) = 0
((-7 * 7 + a * 7) + 8a * (-7 + a)) = 0
((-49 + 7a) + 8a * (-7 + a)) = 0
(-49 + 7a + (-7 * 8a + a * 8a)) = 0
(-49 + 7a + (-56a + 8a2)) = 0

Combine like terms: 7a + -56a = -49a
(-49 + -49a + 8a2) = 0

Solving
-49 + -49a + 8a2 = 0

Solving for variable 'a'.

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


Subproblem 1
Set the factor '(-7 + -8a)' equal to zero and attempt to solve:

Simplifying
-7 + -8a = 0

Solving
-7 + -8a = 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 + -8a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -8a = 0 + 7
-8a = 0 + 7

Combine like terms: 0 + 7 = 7
-8a = 7

Divide each side by '-8'.
a = -0.875

Simplifying
a = -0.875

Subproblem 2
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 = {-0.875, 7}

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