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Simplifying -48y2 + 10y + 7 = 0 Reorder the terms: 7 + 10y + -48y2 = 0 Solving 7 + 10y + -48y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(7 + 24y) = 0Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 2
Set the factor '(7 + 24y)' equal to zero and attempt to solve: Simplifying 7 + 24y = 0 Solving 7 + 24y = 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 + 24y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 24y = 0 + -7 24y = 0 + -7 Combine like terms: 0 + -7 = -7 24y = -7 Divide each side by '24'. y = -0.2916666667 Simplifying y = -0.2916666667Solution
y = {0.5, -0.2916666667}
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