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Simplifying 5y2 + -3y + 2y2 + -7y = 0 Reorder the terms: -3y + -7y + 5y2 + 2y2 = 0 Combine like terms: -3y + -7y = -10y -10y + 5y2 + 2y2 = 0 Combine like terms: 5y2 + 2y2 = 7y2 -10y + 7y2 = 0 Solving -10y + 7y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-10 + 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 '(-10 + 7y)' equal to zero and attempt to solve: Simplifying -10 + 7y = 0 Solving -10 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 7y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 7y = 0 + 10 7y = 0 + 10 Combine like terms: 0 + 10 = 10 7y = 10 Divide each side by '7'. y = 1.428571429 Simplifying y = 1.428571429Solution
y = {0, 1.428571429}
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