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Simplifying 2y(3y + -7) = 0 Reorder the terms: 2y(-7 + 3y) = 0 (-7 * 2y + 3y * 2y) = 0 (-14y + 6y2) = 0 Solving -14y + 6y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-7 + 3y) = 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 '(-7 + 3y)' equal to zero and attempt to solve: Simplifying -7 + 3y = 0 Solving -7 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3y = 0 + 7 3y = 0 + 7 Combine like terms: 0 + 7 = 7 3y = 7 Divide each side by '3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {0, 2.333333333}
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