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Simplifying 5(45y2 + 123y + 84) = 0 Reorder the terms: 5(84 + 123y + 45y2) = 0 (84 * 5 + 123y * 5 + 45y2 * 5) = 0 (420 + 615y + 225y2) = 0 Solving 420 + 615y + 225y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '15'. 15(28 + 41y + 15y2) = 0 Factor a trinomial. 15((7 + 5y)(4 + 3y)) = 0 Ignore the factor 15.Subproblem 1
Set the factor '(7 + 5y)' equal to zero and attempt to solve: Simplifying 7 + 5y = 0 Solving 7 + 5y = 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 + 5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 0 + -7 5y = 0 + -7 Combine like terms: 0 + -7 = -7 5y = -7 Divide each side by '5'. y = -1.4 Simplifying y = -1.4Subproblem 2
Set the factor '(4 + 3y)' equal to zero and attempt to solve: Simplifying 4 + 3y = 0 Solving 4 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 0 + -4 3y = 0 + -4 Combine like terms: 0 + -4 = -4 3y = -4 Divide each side by '3'. y = -1.333333333 Simplifying y = -1.333333333Solution
y = {-1.4, -1.333333333}
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