(a+5)(a-7a+7)=

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Solution for (a+5)(a-7a+7)= equation:


Simplifying
(a + 5)(a + -7a + 7) = 0

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

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

Combine like terms: a + -7a = -6a
(5 + a)(7 + -6a) = 0

Multiply (5 + a) * (7 + -6a)
(5(7 + -6a) + a(7 + -6a)) = 0
((7 * 5 + -6a * 5) + a(7 + -6a)) = 0
((35 + -30a) + a(7 + -6a)) = 0
(35 + -30a + (7 * a + -6a * a)) = 0
(35 + -30a + (7a + -6a2)) = 0

Combine like terms: -30a + 7a = -23a
(35 + -23a + -6a2) = 0

Solving
35 + -23a + -6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + -6a)(5 + a) = 0


Subproblem 1
Set the factor '(7 + -6a)' equal to zero and attempt to solve:

Simplifying
7 + -6a = 0

Solving
7 + -6a = 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 + -6a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6a = 0 + -7
-6a = 0 + -7

Combine like terms: 0 + -7 = -7
-6a = -7

Divide each side by '-6'.
a = 1.166666667

Simplifying
a = 1.166666667

Subproblem 2
Set the factor '(5 + a)' equal to zero and attempt to solve:

Simplifying
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 = {1.166666667, -5}

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