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Simplifying (8 + -15g)(-14g + 2) = 0 Reorder the terms: (8 + -15g)(2 + -14g) = 0 Multiply (8 + -15g) * (2 + -14g) (8(2 + -14g) + -15g * (2 + -14g)) = 0 ((2 * 8 + -14g * 8) + -15g * (2 + -14g)) = 0 ((16 + -112g) + -15g * (2 + -14g)) = 0 (16 + -112g + (2 * -15g + -14g * -15g)) = 0 (16 + -112g + (-30g + 210g2)) = 0 Combine like terms: -112g + -30g = -142g (16 + -142g + 210g2) = 0 Solving 16 + -142g + 210g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -71g + 105g2) = 0 Factor a trinomial. 2((1 + -7g)(8 + -15g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -7g)' equal to zero and attempt to solve: Simplifying 1 + -7g = 0 Solving 1 + -7g = 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 + -7g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7g = 0 + -1 -7g = 0 + -1 Combine like terms: 0 + -1 = -1 -7g = -1 Divide each side by '-7'. g = 0.1428571429 Simplifying g = 0.1428571429Subproblem 2
Set the factor '(8 + -15g)' equal to zero and attempt to solve: Simplifying 8 + -15g = 0 Solving 8 + -15g = 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 + -15g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -15g = 0 + -8 -15g = 0 + -8 Combine like terms: 0 + -8 = -8 -15g = -8 Divide each side by '-15'. g = 0.5333333333 Simplifying g = 0.5333333333Solution
g = {0.1428571429, 0.5333333333}
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