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Simplifying (g + 7)(g + -1) = 0 Reorder the terms: (7 + g)(g + -1) = 0 Reorder the terms: (7 + g)(-1 + g) = 0 Multiply (7 + g) * (-1 + g) (7(-1 + g) + g(-1 + g)) = 0 ((-1 * 7 + g * 7) + g(-1 + g)) = 0 ((-7 + 7g) + g(-1 + g)) = 0 (-7 + 7g + (-1 * g + g * g)) = 0 (-7 + 7g + (-1g + g2)) = 0 Combine like terms: 7g + -1g = 6g (-7 + 6g + g2) = 0 Solving -7 + 6g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-7 + -1g)(1 + -1g) = 0Subproblem 1
Set the factor '(-7 + -1g)' equal to zero and attempt to solve: Simplifying -7 + -1g = 0 Solving -7 + -1g = 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 + -1g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1g = 0 + 7 -1g = 0 + 7 Combine like terms: 0 + 7 = 7 -1g = 7 Divide each side by '-1'. g = -7 Simplifying g = -7Subproblem 2
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 = 1Solution
g = {-7, 1}
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