4g*g+9g+5=0

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Solution for 4g*g+9g+5=0 equation:


Simplifying
4g * g + 9g + 5 = 0

Multiply g * g
4g2 + 9g + 5 = 0

Reorder the terms:
5 + 9g + 4g2 = 0

Solving
5 + 9g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + 4g)(1 + g) = 0

Subproblem 1

Set the factor '(5 + 4g)' equal to zero and attempt to solve: Simplifying 5 + 4g = 0 Solving 5 + 4g = 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 + 4g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4g = 0 + -5 4g = 0 + -5 Combine like terms: 0 + -5 = -5 4g = -5 Divide each side by '4'. g = -1.25 Simplifying g = -1.25

Subproblem 2

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

Solution

g = {-1.25, -1}

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