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Simplifying 24y2 + -20y = 4y(x) Reorder the terms: -20y + 24y2 = 4y(x) Multiply y * x -20y + 24y2 = 4xy Solving -20y + 24y2 = 4xy Solving for variable 'y'. Reorder the terms: -4xy + -20y + 24y2 = 4xy + -4xy Combine like terms: 4xy + -4xy = 0 -4xy + -20y + 24y2 = 0 Factor out the Greatest Common Factor (GCF), '4y'. 4y(-1x + -5 + 6y) = 0 Ignore the factor 4.Subproblem 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 '(-1x + -5 + 6y)' equal to zero and attempt to solve: Simplifying -1x + -5 + 6y = 0 Reorder the terms: -5 + -1x + 6y = 0 Solving -5 + -1x + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1x + 5 + 6y = 0 + 5 Reorder the terms: -5 + 5 + -1x + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x + 6y = 0 + 5 -1x + 6y = 0 + 5 Combine like terms: 0 + 5 = 5 -1x + 6y = 5 Add 'x' to each side of the equation. -1x + x + 6y = 5 + x Combine like terms: -1x + x = 0 0 + 6y = 5 + x 6y = 5 + x Divide each side by '6'. y = 0.8333333333 + 0.1666666667x Simplifying y = 0.8333333333 + 0.1666666667xSolution
y = {0, 0.8333333333 + 0.1666666667x}
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