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Simplifying 8g2 + -22g + -21 = 0 Reorder the terms: -21 + -22g + 8g2 = 0 Solving -21 + -22g + 8g2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -4g)(7 + -2g) = 0Subproblem 1
Set the factor '(-3 + -4g)' equal to zero and attempt to solve: Simplifying -3 + -4g = 0 Solving -3 + -4g = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4g = 0 + 3 -4g = 0 + 3 Combine like terms: 0 + 3 = 3 -4g = 3 Divide each side by '-4'. g = -0.75 Simplifying g = -0.75Subproblem 2
Set the factor '(7 + -2g)' equal to zero and attempt to solve: Simplifying 7 + -2g = 0 Solving 7 + -2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2g = 0 + -7 -2g = 0 + -7 Combine like terms: 0 + -7 = -7 -2g = -7 Divide each side by '-2'. g = 3.5 Simplifying g = 3.5Solution
g = {-0.75, 3.5}
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