(2a+7)(9a+2a-8)=

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Solution for (2a+7)(9a+2a-8)= equation: 


Simplifying
(2a + 7)(9a + 2a + -8) = 0

Reorder the terms:
(7 + 2a)(9a + 2a + -8) = 0

Reorder the terms:
(7 + 2a)(-8 + 9a + 2a) = 0

Combine like terms: 9a + 2a = 11a
(7 + 2a)(-8 + 11a) = 0

Multiply (7 + 2a) * (-8 + 11a)
(7(-8 + 11a) + 2a * (-8 + 11a)) = 0
((-8 * 7 + 11a * 7) + 2a * (-8 + 11a)) = 0
((-56 + 77a) + 2a * (-8 + 11a)) = 0
(-56 + 77a + (-8 * 2a + 11a * 2a)) = 0
(-56 + 77a + (-16a + 22a2)) = 0

Combine like terms: 77a + -16a = 61a
(-56 + 61a + 22a2) = 0

Solving
-56 + 61a + 22a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + -2a)(8 + -11a) = 0


Subproblem 1
Set the factor '(-7 + -2a)' equal to zero and attempt to solve:

Simplifying
-7 + -2a = 0

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

Combine like terms: -7 + 7 = 0
0 + -2a = 0 + 7
-2a = 0 + 7

Combine like terms: 0 + 7 = 7
-2a = 7

Divide each side by '-2'.
a = -3.5

Simplifying
a = -3.5

Subproblem 2
Set the factor '(8 + -11a)' equal to zero and attempt to solve:

Simplifying
8 + -11a = 0

Solving
8 + -11a = 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 + -11a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -11a = 0 + -8
-11a = 0 + -8

Combine like terms: 0 + -8 = -8
-11a = -8

Divide each side by '-11'.
a = 0.7272727273

Simplifying
a = 0.7272727273
Solution
a = {-3.5, 0.7272727273}

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