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Simplifying (6g + 7)(g + -8) = 0 Reorder the terms: (7 + 6g)(g + -8) = 0 Reorder the terms: (7 + 6g)(-8 + g) = 0 Multiply (7 + 6g) * (-8 + g) (7(-8 + g) + 6g * (-8 + g)) = 0 ((-8 * 7 + g * 7) + 6g * (-8 + g)) = 0 ((-56 + 7g) + 6g * (-8 + g)) = 0 (-56 + 7g + (-8 * 6g + g * 6g)) = 0 (-56 + 7g + (-48g + 6g2)) = 0 Combine like terms: 7g + -48g = -41g (-56 + -41g + 6g2) = 0 Solving -56 + -41g + 6g2 = 0 Solving for variable 'g'. Factor a trinomial. (-7 + -6g)(8 + -1g) = 0Subproblem 1
Set the factor '(-7 + -6g)' equal to zero and attempt to solve: Simplifying -7 + -6g = 0 Solving -7 + -6g = 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 + -6g = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6g = 0 + 7 -6g = 0 + 7 Combine like terms: 0 + 7 = 7 -6g = 7 Divide each side by '-6'. g = -1.166666667 Simplifying g = -1.166666667Subproblem 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 = {-1.166666667, 8}
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