30a^2+52a+16=

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Solution for 30a^2+52a+16= equation:


Simplifying
30a2 + 52a + 16 = 0

Reorder the terms:
16 + 52a + 30a2 = 0

Solving
16 + 52a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 26a + 15a2) = 0

Factor a trinomial.
2((4 + 3a)(2 + 5a)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + 3a)' equal to zero and attempt to solve: Simplifying 4 + 3a = 0 Solving 4 + 3a = 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 + 3a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 0 + -4 3a = 0 + -4 Combine like terms: 0 + -4 = -4 3a = -4 Divide each side by '3'. a = -1.333333333 Simplifying a = -1.333333333

Subproblem 2

Set the factor '(2 + 5a)' equal to zero and attempt to solve: Simplifying 2 + 5a = 0 Solving 2 + 5a = 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 + 5a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 0 + -2 5a = 0 + -2 Combine like terms: 0 + -2 = -2 5a = -2 Divide each side by '5'. a = -0.4 Simplifying a = -0.4

Solution

a = {-1.333333333, -0.4}

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