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Simplifying 24y2 + 50y + -25 = 0 Reorder the terms: -25 + 50y + 24y2 = 0 Solving -25 + 50y + 24y2 = 0 Solving for variable 'y'. Factor a trinomial. (-5 + -2y)(5 + -12y) = 0Subproblem 1
Set the factor '(-5 + -2y)' equal to zero and attempt to solve: Simplifying -5 + -2y = 0 Solving -5 + -2y = 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 + -2y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 0 + 5 -2y = 0 + 5 Combine like terms: 0 + 5 = 5 -2y = 5 Divide each side by '-2'. y = -2.5 Simplifying y = -2.5Subproblem 2
Set the factor '(5 + -12y)' equal to zero and attempt to solve: Simplifying 5 + -12y = 0 Solving 5 + -12y = 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 + -12y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12y = 0 + -5 -12y = 0 + -5 Combine like terms: 0 + -5 = -5 -12y = -5 Divide each side by '-12'. y = 0.4166666667 Simplifying y = 0.4166666667Solution
y = {-2.5, 0.4166666667}
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