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Simplifying (14y + 4)(y + -6) = 0 Reorder the terms: (4 + 14y)(y + -6) = 0 Reorder the terms: (4 + 14y)(-6 + y) = 0 Multiply (4 + 14y) * (-6 + y) (4(-6 + y) + 14y * (-6 + y)) = 0 ((-6 * 4 + y * 4) + 14y * (-6 + y)) = 0 ((-24 + 4y) + 14y * (-6 + y)) = 0 (-24 + 4y + (-6 * 14y + y * 14y)) = 0 (-24 + 4y + (-84y + 14y2)) = 0 Combine like terms: 4y + -84y = -80y (-24 + -80y + 14y2) = 0 Solving -24 + -80y + 14y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -40y + 7y2) = 0 Factor a trinomial. 2((-2 + -7y)(6 + -1y)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.2857142857Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6Solution
y = {-0.2857142857, 6}
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