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Simplifying -2y(6y + -7) = 0 Reorder the terms: -2y(-7 + 6y) = 0 (-7 * -2y + 6y * -2y) = 0 (14y + -12y2) = 0 Solving 14y + -12y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(7 + -6y) = 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 + -6y)' equal to zero and attempt to solve: Simplifying 7 + -6y = 0 Solving 7 + -6y = 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 + -6y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6y = 0 + -7 -6y = 0 + -7 Combine like terms: 0 + -7 = -7 -6y = -7 Divide each side by '-6'. y = 1.166666667 Simplifying y = 1.166666667Solution
y = {0, 1.166666667}
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