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Simplifying 48y2 + 12y + (-40y) + (-10) = 0 48y2 + 12y + (-40y) + -10 = 0 Reorder the terms: -10 + 12y + (-40y) + 48y2 = 0 Combine like terms: 12y + (-40y) = -28y -10 + -28y + 48y2 = 0 Solving -10 + -28y + 48y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -14y + 24y2) = 0 Factor a trinomial. 2((-1 + -4y)(5 + -6y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -4y)' equal to zero and attempt to solve: Simplifying -1 + -4y = 0 Solving -1 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 0 + 1 -4y = 0 + 1 Combine like terms: 0 + 1 = 1 -4y = 1 Divide each side by '-4'. y = -0.25 Simplifying y = -0.25Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {-0.25, 0.8333333333}
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