(8a-5)(9a-6a+9)=

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Solution for (8a-5)(9a-6a+9)= equation:


Simplifying
(8a + -5)(9a + -6a + 9) = 0

Reorder the terms:
(-5 + 8a)(9a + -6a + 9) = 0

Reorder the terms:
(-5 + 8a)(9 + 9a + -6a) = 0

Combine like terms: 9a + -6a = 3a
(-5 + 8a)(9 + 3a) = 0

Multiply (-5 + 8a) * (9 + 3a)
(-5(9 + 3a) + 8a * (9 + 3a)) = 0
((9 * -5 + 3a * -5) + 8a * (9 + 3a)) = 0
((-45 + -15a) + 8a * (9 + 3a)) = 0
(-45 + -15a + (9 * 8a + 3a * 8a)) = 0
(-45 + -15a + (72a + 24a2)) = 0

Combine like terms: -15a + 72a = 57a
(-45 + 57a + 24a2) = 0

Solving
-45 + 57a + 24a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + 19a + 8a2) = 0

Factor a trinomial.
3((-3 + -1a)(5 + -8a)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -1a)' equal to zero and attempt to solve: Simplifying -3 + -1a = 0 Solving -3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1a = 0 + 3 -1a = 0 + 3 Combine like terms: 0 + 3 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3

Subproblem 2

Set the factor '(5 + -8a)' equal to zero and attempt to solve: Simplifying 5 + -8a = 0 Solving 5 + -8a = 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 + -8a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8a = 0 + -5 -8a = 0 + -5 Combine like terms: 0 + -5 = -5 -8a = -5 Divide each side by '-8'. a = 0.625 Simplifying a = 0.625

Solution

a = {-3, 0.625}

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