(3a+2)(a+4)=

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Solution for (3a+2)(a+4)= equation:


Simplifying
(3a + 2)(a + 4) = 0

Reorder the terms:
(2 + 3a)(a + 4) = 0

Reorder the terms:
(2 + 3a)(4 + a) = 0

Multiply (2 + 3a) * (4 + a)
(2(4 + a) + 3a * (4 + a)) = 0
((4 * 2 + a * 2) + 3a * (4 + a)) = 0
((8 + 2a) + 3a * (4 + a)) = 0
(8 + 2a + (4 * 3a + a * 3a)) = 0
(8 + 2a + (12a + 3a2)) = 0

Combine like terms: 2a + 12a = 14a
(8 + 14a + 3a2) = 0

Solving
8 + 14a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + a)(2 + 3a) = 0

Subproblem 1

Set the factor '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4

Subproblem 2

Set the factor '(2 + 3a)' equal to zero and attempt to solve: Simplifying 2 + 3a = 0 Solving 2 + 3a = 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 + 3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a = 0 + -2 3a = 0 + -2 Combine like terms: 0 + -2 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667

Solution

a = {-4, -0.6666666667}

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