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Simplifying 24y2 + 10y + -21 = 0 Reorder the terms: -21 + 10y + 24y2 = 0 Solving -21 + 10y + 24y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -6y)(3 + -4y) = 0Subproblem 1
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 = -1.166666667Subproblem 2
Set the factor '(3 + -4y)' equal to zero and attempt to solve: Simplifying 3 + -4y = 0 Solving 3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = 0 + -3 -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -4y = -3 Divide each side by '-4'. y = 0.75 Simplifying y = 0.75Solution
y = {-1.166666667, 0.75}
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