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Simplifying 21g2 + -8g + -4 = 0 Reorder the terms: -4 + -8g + 21g2 = 0 Solving -4 + -8g + 21g2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -7g)(2 + -3g) = 0Subproblem 1
Set the factor '(-2 + -7g)' equal to zero and attempt to solve: Simplifying -2 + -7g = 0 Solving -2 + -7g = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7g = 0 + 2 -7g = 0 + 2 Combine like terms: 0 + 2 = 2 -7g = 2 Divide each side by '-7'. g = -0.2857142857 Simplifying g = -0.2857142857Subproblem 2
Set the factor '(2 + -3g)' equal to zero and attempt to solve: Simplifying 2 + -3g = 0 Solving 2 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3g = 0 + -2 -3g = 0 + -2 Combine like terms: 0 + -2 = -2 -3g = -2 Divide each side by '-3'. g = 0.6666666667 Simplifying g = 0.6666666667Solution
g = {-0.2857142857, 0.6666666667}
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