6a^2+41a+63=

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Solution for 6a^2+41a+63= equation:


Simplifying
6a2 + 41a + 63 = 0

Reorder the terms:
63 + 41a + 6a2 = 0

Solving
63 + 41a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + 2a)(7 + 3a) = 0

Subproblem 1

Set the factor '(9 + 2a)' equal to zero and attempt to solve: Simplifying 9 + 2a = 0 Solving 9 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2a = 0 + -9 2a = 0 + -9 Combine like terms: 0 + -9 = -9 2a = -9 Divide each side by '2'. a = -4.5 Simplifying a = -4.5

Subproblem 2

Set the factor '(7 + 3a)' equal to zero and attempt to solve: Simplifying 7 + 3a = 0 Solving 7 + 3a = 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 + 3a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3a = 0 + -7 3a = 0 + -7 Combine like terms: 0 + -7 = -7 3a = -7 Divide each side by '3'. a = -2.333333333 Simplifying a = -2.333333333

Solution

a = {-4.5, -2.333333333}

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