20a^2+47a+21=

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Solution for 20a^2+47a+21= equation:


Simplifying
20a2 + 47a + 21 = 0

Reorder the terms:
21 + 47a + 20a2 = 0

Solving
21 + 47a + 20a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 4a)(3 + 5a) = 0

Subproblem 1

Set the factor '(7 + 4a)' equal to zero and attempt to solve: Simplifying 7 + 4a = 0 Solving 7 + 4a = 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 + 4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 0 + -7 4a = 0 + -7 Combine like terms: 0 + -7 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75

Subproblem 2

Set the factor '(3 + 5a)' equal to zero and attempt to solve: Simplifying 3 + 5a = 0 Solving 3 + 5a = 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 + 5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 0 + -3 5a = 0 + -3 Combine like terms: 0 + -3 = -3 5a = -3 Divide each side by '5'. a = -0.6 Simplifying a = -0.6

Solution

a = {-1.75, -0.6}

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