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Simplifying -2y(7y + 5) = 0 Reorder the terms: -2y(5 + 7y) = 0 (5 * -2y + 7y * -2y) = 0 (-10y + -14y2) = 0 Solving -10y + -14y2 = 0 Solving for variable 'y'. 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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