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Simplifying 4y2 + -20y + 25 + -6y(2y + -5) = 0 Reorder the terms: 4y2 + -20y + 25 + -6y(-5 + 2y) = 0 4y2 + -20y + 25 + (-5 * -6y + 2y * -6y) = 0 4y2 + -20y + 25 + (30y + -12y2) = 0 Reorder the terms: 25 + -20y + 30y + 4y2 + -12y2 = 0 Combine like terms: -20y + 30y = 10y 25 + 10y + 4y2 + -12y2 = 0 Combine like terms: 4y2 + -12y2 = -8y2 25 + 10y + -8y2 = 0 Solving 25 + 10y + -8y2 = 0 Solving for variable 'y'. Factor a trinomial. (5 + -2y)(5 + 4y) = 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 + 4y)' equal to zero and attempt to solve: Simplifying 5 + 4y = 0 Solving 5 + 4y = 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 + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 0 + -5 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4y = -5 Divide each side by '4'. y = -1.25 Simplifying y = -1.25Solution
y = {2.5, -1.25}
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