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Simplifying (g + 7)(g + -3) = 0 Reorder the terms: (7 + g)(g + -3) = 0 Reorder the terms: (7 + g)(-3 + g) = 0 Multiply (7 + g) * (-3 + g) (7(-3 + g) + g(-3 + g)) = 0 ((-3 * 7 + g * 7) + g(-3 + g)) = 0 ((-21 + 7g) + g(-3 + g)) = 0 (-21 + 7g + (-3 * g + g * g)) = 0 (-21 + 7g + (-3g + g2)) = 0 Combine like terms: 7g + -3g = 4g (-21 + 4g + g2) = 0 Solving -21 + 4g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-7 + -1g)(3 + -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 '(3 + -1g)' equal to zero and attempt to solve: Simplifying 3 + -1g = 0 Solving 3 + -1g = 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 + -1g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1g = 0 + -3 -1g = 0 + -3 Combine like terms: 0 + -3 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3Solution
g = {-7, 3}
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