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Simplifying 1 + 4g + 5y * 6y + 5y = 1 + 4gy + 4g Reorder the terms for easier multiplication: 1 + 4g + 5 * 6y * y + 5y = 1 + 4gy + 4g Multiply 5 * 6 1 + 4g + 30y * y + 5y = 1 + 4gy + 4g Multiply y * y 1 + 4g + 30y2 + 5y = 1 + 4gy + 4g Reorder the terms: 1 + 4g + 5y + 30y2 = 1 + 4gy + 4g Reorder the terms: 1 + 4g + 5y + 30y2 = 1 + 4g + 4gy Add '-1' to each side of the equation. 1 + 4g + 5y + -1 + 30y2 = 1 + 4g + -1 + 4gy Reorder the terms: 1 + -1 + 4g + 5y + 30y2 = 1 + 4g + -1 + 4gy Combine like terms: 1 + -1 = 0 0 + 4g + 5y + 30y2 = 1 + 4g + -1 + 4gy 4g + 5y + 30y2 = 1 + 4g + -1 + 4gy Reorder the terms: 4g + 5y + 30y2 = 1 + -1 + 4g + 4gy Combine like terms: 1 + -1 = 0 4g + 5y + 30y2 = 0 + 4g + 4gy 4g + 5y + 30y2 = 4g + 4gy Add '-4g' to each side of the equation. 4g + 5y + -4g + 30y2 = 4g + -4g + 4gy Reorder the terms: 4g + -4g + 5y + 30y2 = 4g + -4g + 4gy Combine like terms: 4g + -4g = 0 0 + 5y + 30y2 = 4g + -4g + 4gy 5y + 30y2 = 4g + -4g + 4gy Combine like terms: 4g + -4g = 0 5y + 30y2 = 0 + 4gy 5y + 30y2 = 4gy Solving 5y + 30y2 = 4gy Solving for variable 'y'. Reorder the terms: -4gy + 5y + 30y2 = 4gy + -4gy Combine like terms: 4gy + -4gy = 0 -4gy + 5y + 30y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-4g + 5 + 30y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-4g + 5 + 30y)' equal to zero and attempt to solve: Simplifying -4g + 5 + 30y = 0 Reorder the terms: 5 + -4g + 30y = 0 Solving 5 + -4g + 30y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -4g + -5 + 30y = 0 + -5 Reorder the terms: 5 + -5 + -4g + 30y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4g + 30y = 0 + -5 -4g + 30y = 0 + -5 Combine like terms: 0 + -5 = -5 -4g + 30y = -5 Add '4g' to each side of the equation. -4g + 4g + 30y = -5 + 4g Combine like terms: -4g + 4g = 0 0 + 30y = -5 + 4g 30y = -5 + 4g Divide each side by '30'. y = -0.1666666667 + 0.1333333333g Simplifying y = -0.1666666667 + 0.1333333333gSolution
y = {0, -0.1666666667 + 0.1333333333g}
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