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Simplifying 8g2 + 56g + 98 = 0 Reorder the terms: 98 + 56g + 8g2 = 0 Solving 98 + 56g + 8g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(49 + 28g + 4g2) = 0 Factor a trinomial. 2((7 + 2g)(7 + 2g)) = 0 Ignore the factor 2.Subproblem 1
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 = -3.5Subproblem 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 = {-3.5, -3.5}
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