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Simplifying 5y2 + -7y + 2y2 + -8y = 0 Reorder the terms: -7y + -8y + 5y2 + 2y2 = 0 Combine like terms: -7y + -8y = -15y -15y + 5y2 + 2y2 = 0 Combine like terms: 5y2 + 2y2 = 7y2 -15y + 7y2 = 0 Solving -15y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-15 + 7y) = 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 '(-15 + 7y)' equal to zero and attempt to solve: Simplifying -15 + 7y = 0 Solving -15 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = 0 + 15 7y = 0 + 15 Combine like terms: 0 + 15 = 15 7y = 15 Divide each side by '7'. y = 2.142857143 Simplifying y = 2.142857143Solution
y = {0, 2.142857143}
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