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Simplifying 2g2 + 19g + -10 = 0 Reorder the terms: -10 + 19g + 2g2 = 0 Solving -10 + 19g + 2g2 = 0 Solving for variable 'g'. Factor a trinomial. (-10 + -1g)(1 + -2g) = 0Subproblem 1
Set the factor '(-10 + -1g)' equal to zero and attempt to solve: Simplifying -10 + -1g = 0 Solving -10 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1g = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1g = 0 + 10 -1g = 0 + 10 Combine like terms: 0 + 10 = 10 -1g = 10 Divide each side by '-1'. g = -10 Simplifying g = -10Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve: Simplifying 1 + -2g = 0 Solving 1 + -2g = 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 + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = 0 + -1 -2g = 0 + -1 Combine like terms: 0 + -1 = -1 -2g = -1 Divide each side by '-2'. g = 0.5 Simplifying g = 0.5Solution
g = {-10, 0.5}
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