-a(4a+11)-2(3a^2+5a-5)=

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Solution for -a(4a+11)-2(3a^2+5a-5)= equation: 


Simplifying
-1a(4a + 11) + -2(3a2 + 5a + -5) = 0

Reorder the terms:
-1a(11 + 4a) + -2(3a2 + 5a + -5) = 0
(11 * -1a + 4a * -1a) + -2(3a2 + 5a + -5) = 0
(-11a + -4a2) + -2(3a2 + 5a + -5) = 0

Reorder the terms:
-11a + -4a2 + -2(-5 + 5a + 3a2) = 0
-11a + -4a2 + (-5 * -2 + 5a * -2 + 3a2 * -2) = 0
-11a + -4a2 + (10 + -10a + -6a2) = 0

Reorder the terms:
10 + -11a + -10a + -4a2 + -6a2 = 0

Combine like terms: -11a + -10a = -21a
10 + -21a + -4a2 + -6a2 = 0

Combine like terms: -4a2 + -6a2 = -10a2
10 + -21a + -10a2 = 0

Solving
10 + -21a + -10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -5a)(5 + 2a) = 0


Subproblem 1
Set the factor '(2 + -5a)' equal to zero and attempt to solve:

Simplifying
2 + -5a = 0

Solving
2 + -5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4

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

Simplifying
5 + 2a = 0

Solving
5 + 2a = 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 + 2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 0 + -5
2a = 0 + -5

Combine like terms: 0 + -5 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5
Solution
a = {0.4, -2.5}

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