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Simplifying 5g2 + -19g + -4 = 0 Reorder the terms: -4 + -19g + 5g2 = 0 Solving -4 + -19g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (-1 + -5g)(4 + -1g) = 0Subproblem 1
Set the factor '(-1 + -5g)' equal to zero and attempt to solve: Simplifying -1 + -5g = 0 Solving -1 + -5g = 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 + -5g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5g = 0 + 1 -5g = 0 + 1 Combine like terms: 0 + 1 = 1 -5g = 1 Divide each side by '-5'. g = -0.2 Simplifying g = -0.2Subproblem 2
Set the factor '(4 + -1g)' equal to zero and attempt to solve: Simplifying 4 + -1g = 0 Solving 4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1g = 0 + -4 -1g = 0 + -4 Combine like terms: 0 + -4 = -4 -1g = -4 Divide each side by '-1'. g = 4 Simplifying g = 4Solution
g = {-0.2, 4}
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