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Simplifying 3y2(2y + -7) = 0 Reorder the terms: 3y2(-7 + 2y) = 0 (-7 * 3y2 + 2y * 3y2) = 0 (-21y2 + 6y3) = 0 Solving -21y2 + 6y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y2'. 3y2(-7 + 2y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(-7 + 2y)' equal to zero and attempt to solve: Simplifying -7 + 2y = 0 Solving -7 + 2y = 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 + 2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 0 + 7 2y = 0 + 7 Combine like terms: 0 + 7 = 7 2y = 7 Divide each side by '2'. y = 3.5 Simplifying y = 3.5Solution
y = {0, 3.5}
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