13g+10-3g^2=0

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Solution for 13g+10-3g^2=0 equation:


Simplifying
13g + 10 + -3g2 = 0

Reorder the terms:
10 + 13g + -3g2 = 0

Solving
10 + 13g + -3g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + -1g)(2 + 3g) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + 3g)' equal to zero and attempt to solve: Simplifying 2 + 3g = 0 Solving 2 + 3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3g = 0 + -2 3g = 0 + -2 Combine like terms: 0 + -2 = -2 3g = -2 Divide each side by '3'. g = -0.6666666667 Simplifying g = -0.6666666667

Solution

g = {5, -0.6666666667}

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