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Simplifying (8 + -1g)(8 + -1g) = 0 Multiply (8 + -1g) * (8 + -1g) (8(8 + -1g) + -1g * (8 + -1g)) = 0 ((8 * 8 + -1g * 8) + -1g * (8 + -1g)) = 0 ((64 + -8g) + -1g * (8 + -1g)) = 0 (64 + -8g + (8 * -1g + -1g * -1g)) = 0 (64 + -8g + (-8g + 1g2)) = 0 Combine like terms: -8g + -8g = -16g (64 + -16g + 1g2) = 0 Solving 64 + -16g + 1g2 = 0 Solving for variable 'g'. Factor a trinomial. (8 + -1g)(8 + -1g) = 0Subproblem 1
Set the factor '(8 + -1g)' equal to zero and attempt to solve: Simplifying 8 + -1g = 0 Solving 8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1g = 0 + -8 -1g = 0 + -8 Combine like terms: 0 + -8 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8Subproblem 2
Set the factor '(8 + -1g)' equal to zero and attempt to solve: Simplifying 8 + -1g = 0 Solving 8 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1g = 0 + -8 -1g = 0 + -8 Combine like terms: 0 + -8 = -8 -1g = -8 Divide each side by '-1'. g = 8 Simplifying g = 8Solution
g = {8, 8}
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