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Simplifying g2 * 10g3 + -2g3 + g5 = 0 Reorder the terms for easier multiplication: 10g2 * g3 + -2g3 + g5 = 0 Multiply g2 * g3 10g5 + -2g3 + g5 = 0 Reorder the terms: -2g3 + 10g5 + g5 = 0 Combine like terms: 10g5 + g5 = 11g5 -2g3 + 11g5 = 0 Solving -2g3 + 11g5 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g3'. g3(-2 + 11g2) = 0Subproblem 1
Set the factor 'g3' equal to zero and attempt to solve: Simplifying g3 = 0 Solving g3 = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 11g2)' equal to zero and attempt to solve: Simplifying -2 + 11g2 = 0 Solving -2 + 11g2 = 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 + 11g2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11g2 = 0 + 2 11g2 = 0 + 2 Combine like terms: 0 + 2 = 2 11g2 = 2 Divide each side by '11'. g2 = 0.1818181818 Simplifying g2 = 0.1818181818 Take the square root of each side: g = {-0.426401433, 0.426401433}Solution
g = {-0.426401433, 0.426401433}
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