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Simplifying -6y(2y + 7) = 0 Reorder the terms: -6y(7 + 2y) = 0 (7 * -6y + 2y * -6y) = 0 (-42y + -12y2) = 0 Solving -42y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-6y'. -6y(7 + 2y) = 0 Ignore the factor -6.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 + 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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