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Simplifying 14y + -8y(3y + 2) = 0 Reorder the terms: 14y + -8y(2 + 3y) = 0 14y + (2 * -8y + 3y * -8y) = 0 14y + (-16y + -24y2) = 0 Combine like terms: 14y + -16y = -2y -2y + -24y2 = 0 Solving -2y + -24y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-2y'. -2y(1 + 12y) = 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 '(1 + 12y)' equal to zero and attempt to solve: Simplifying 1 + 12y = 0 Solving 1 + 12y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 12y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 12y = 0 + -1 12y = 0 + -1 Combine like terms: 0 + -1 = -1 12y = -1 Divide each side by '12'. y = -0.08333333333 Simplifying y = -0.08333333333Solution
y = {0, -0.08333333333}
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