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Simplifying 75g3 = 143g Solving 75g3 = 143g Solving for variable 'g'. Reorder the terms: -143g + 75g3 = 143g + -143g Combine like terms: 143g + -143g = 0 -143g + 75g3 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-143 + 75g2) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
Set the factor '(-143 + 75g2)' equal to zero and attempt to solve: Simplifying -143 + 75g2 = 0 Solving -143 + 75g2 = 0 Move all terms containing g to the left, all other terms to the right. Add '143' to each side of the equation. -143 + 143 + 75g2 = 0 + 143 Combine like terms: -143 + 143 = 0 0 + 75g2 = 0 + 143 75g2 = 0 + 143 Combine like terms: 0 + 143 = 143 75g2 = 143 Divide each side by '75'. g2 = 1.906666667 Simplifying g2 = 1.906666667 Take the square root of each side: g = {-1.380821012, 1.380821012}Solution
g = {0, -1.380821012, 1.380821012}
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