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Simplifying 14g2 + -1 + -5g + 18g = 0 Reorder the terms: -1 + -5g + 18g + 14g2 = 0 Combine like terms: -5g + 18g = 13g -1 + 13g + 14g2 = 0 Solving -1 + 13g + 14g2 = 0 Solving for variable 'g'. Factor a trinomial. (-1 + -1g)(1 + -14g) = 0Subproblem 1
Set the factor '(-1 + -1g)' equal to zero and attempt to solve: Simplifying -1 + -1g = 0 Solving -1 + -1g = 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 + -1g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1g = 0 + 1 -1g = 0 + 1 Combine like terms: 0 + 1 = 1 -1g = 1 Divide each side by '-1'. g = -1 Simplifying g = -1Subproblem 2
Set the factor '(1 + -14g)' equal to zero and attempt to solve: Simplifying 1 + -14g = 0 Solving 1 + -14g = 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 + -14g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -14g = 0 + -1 -14g = 0 + -1 Combine like terms: 0 + -1 = -1 -14g = -1 Divide each side by '-14'. g = 0.07142857143 Simplifying g = 0.07142857143Solution
g = {-1, 0.07142857143}
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