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Simplifying g2 + -24g + -25 = 0 Reorder the terms: -25 + -24g + g2 = 0 Solving -25 + -24g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-1 + -1g)(25 + -1g) = 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 '(25 + -1g)' equal to zero and attempt to solve: Simplifying 25 + -1g = 0 Solving 25 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1g = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1g = 0 + -25 -1g = 0 + -25 Combine like terms: 0 + -25 = -25 -1g = -25 Divide each side by '-1'. g = 25 Simplifying g = 25Solution
g = {-1, 25}
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