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Simplifying 14y2 = 48y Solving 14y2 = 48y Solving for variable 'y'. Reorder the terms: -48y + 14y2 = 48y + -48y Combine like terms: 48y + -48y = 0 -48y + 14y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(-24 + 7y) = 0 Ignore the factor 2.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 '(-24 + 7y)' equal to zero and attempt to solve: Simplifying -24 + 7y = 0 Solving -24 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 7y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 0 + 24 7y = 0 + 24 Combine like terms: 0 + 24 = 24 7y = 24 Divide each side by '7'. y = 3.428571429 Simplifying y = 3.428571429Solution
y = {0, 3.428571429}
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