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Simplifying 4y(7y + -5) + 12y = 0 Reorder the terms: 4y(-5 + 7y) + 12y = 0 (-5 * 4y + 7y * 4y) + 12y = 0 (-20y + 28y2) + 12y = 0 Reorder the terms: -20y + 12y + 28y2 = 0 Combine like terms: -20y + 12y = -8y -8y + 28y2 = 0 Solving -8y + 28y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-2 + 7y) = 0 Ignore the factor 4.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 '(-2 + 7y)' equal to zero and attempt to solve: Simplifying -2 + 7y = 0 Solving -2 + 7y = 0 Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7y = 0 + 2 7y = 0 + 2 Combine like terms: 0 + 2 = 2 7y = 2 Divide each side by '7'. y = 0.2857142857 Simplifying y = 0.2857142857Solution
y = {0, 0.2857142857}
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