(5a-1)(a+3)=

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Solution for (5a-1)(a+3)= equation:


Simplifying
(5a + -1)(a + 3) = 0

Reorder the terms:
(-1 + 5a)(a + 3) = 0

Reorder the terms:
(-1 + 5a)(3 + a) = 0

Multiply (-1 + 5a) * (3 + a)
(-1(3 + a) + 5a * (3 + a)) = 0
((3 * -1 + a * -1) + 5a * (3 + a)) = 0
((-3 + -1a) + 5a * (3 + a)) = 0
(-3 + -1a + (3 * 5a + a * 5a)) = 0
(-3 + -1a + (15a + 5a2)) = 0

Combine like terms: -1a + 15a = 14a
(-3 + 14a + 5a2) = 0

Solving
-3 + 14a + 5a2 = 0

Solving for variable 'a'.

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

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 '(1 + -5a)' equal to zero and attempt to solve: Simplifying 1 + -5a = 0 Solving 1 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 0 + -1 -5a = 0 + -1 Combine like terms: 0 + -1 = -1 -5a = -1 Divide each side by '-5'. a = 0.2 Simplifying a = 0.2

Solution

a = {-3, 0.2}

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