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Simplifying (1g + 7)(-8g + 1) = 0 Reorder the terms: (7 + 1g)(-8g + 1) = 0 Reorder the terms: (7 + 1g)(1 + -8g) = 0 Multiply (7 + 1g) * (1 + -8g) (7(1 + -8g) + 1g * (1 + -8g)) = 0 ((1 * 7 + -8g * 7) + 1g * (1 + -8g)) = 0 ((7 + -56g) + 1g * (1 + -8g)) = 0 (7 + -56g + (1 * 1g + -8g * 1g)) = 0 (7 + -56g + (1g + -8g2)) = 0 Combine like terms: -56g + 1g = -55g (7 + -55g + -8g2) = 0 Solving 7 + -55g + -8g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + -8g)(7 + g) = 0Subproblem 1
Set the factor '(1 + -8g)' equal to zero and attempt to solve: Simplifying 1 + -8g = 0 Solving 1 + -8g = 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 + -8g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8g = 0 + -1 -8g = 0 + -1 Combine like terms: 0 + -1 = -1 -8g = -1 Divide each side by '-8'. g = 0.125 Simplifying g = 0.125Subproblem 2
Set the factor '(7 + g)' equal to zero and attempt to solve: Simplifying 7 + g = 0 Solving 7 + g = 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 + g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + g = 0 + -7 g = 0 + -7 Combine like terms: 0 + -7 = -7 g = -7 Simplifying g = -7Solution
g = {0.125, -7}
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