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Simplifying 3y2 + 10y = 17y2 Reorder the terms: 10y + 3y2 = 17y2 Solving 10y + 3y2 = 17y2 Solving for variable 'y'. Combine like terms: 3y2 + -17y2 = -14y2 10y + -14y2 = 17y2 + -17y2 Combine like terms: 17y2 + -17y2 = 0 10y + -14y2 = 0 Factor out the Greatest Common Factor (GCF), '2y'. 2y(5 + -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 '(5 + -7y)' equal to zero and attempt to solve: Simplifying 5 + -7y = 0 Solving 5 + -7y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 0 + -5 -7y = 0 + -5 Combine like terms: 0 + -5 = -5 -7y = -5 Divide each side by '-7'. y = 0.7142857143 Simplifying y = 0.7142857143Solution
y = {0, 0.7142857143}
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