12g^2+64g+77=0

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Solution for 12g^2+64g+77=0 equation:


Simplifying
12g2 + 64g + 77 = 0

Reorder the terms:
77 + 64g + 12g2 = 0

Solving
77 + 64g + 12g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(7 + 2g)(11 + 6g) = 0

Subproblem 1

Set the factor '(7 + 2g)' equal to zero and attempt to solve: Simplifying 7 + 2g = 0 Solving 7 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2g = 0 + -7 2g = 0 + -7 Combine like terms: 0 + -7 = -7 2g = -7 Divide each side by '2'. g = -3.5 Simplifying g = -3.5

Subproblem 2

Set the factor '(11 + 6g)' equal to zero and attempt to solve: Simplifying 11 + 6g = 0 Solving 11 + 6g = 0 Move all terms containing g to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6g = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6g = 0 + -11 6g = 0 + -11 Combine like terms: 0 + -11 = -11 6g = -11 Divide each side by '6'. g = -1.833333333 Simplifying g = -1.833333333

Solution

g = {-3.5, -1.833333333}

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