(2a+5)(a-6)=

Solution for (2a+5)(a-6)= equation:

Simplifying
(2a + 5)(a + -6) = 0

Reorder the terms:
(5 + 2a)(a + -6) = 0

Reorder the terms:
(5 + 2a)(-6 + a) = 0

Multiply (5 + 2a) * (-6 + a)
(5(-6 + a) + 2a * (-6 + a)) = 0
((-6 * 5 + a * 5) + 2a * (-6 + a)) = 0
((-30 + 5a) + 2a * (-6 + a)) = 0
(-30 + 5a + (-6 * 2a + a * 2a)) = 0
(-30 + 5a + (-12a + 2a2)) = 0

Combine like terms: 5a + -12a = -7a
(-30 + -7a + 2a2) = 0

Solving
-30 + -7a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -2a)(6 + -1a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1a)' equal to zero and attempt to solve:

Simplifying
6 + -1a = 0

Solving
6 + -1a = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1a = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1a = 0 + -6
-1a = 0 + -6

Combine like terms: 0 + -6 = -6
-1a = -6

Divide each side by '-1'.
a = 6

Simplifying
a = 6
Solution
a = {-2.5, 6}