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Simplifying 8y2 = 10y + 3 Reorder the terms: 8y2 = 3 + 10y Solving 8y2 = 3 + 10y Solving for variable 'y'. Reorder the terms: -3 + -10y + 8y2 = 3 + 10y + -3 + -10y Reorder the terms: -3 + -10y + 8y2 = 3 + -3 + 10y + -10y Combine like terms: 3 + -3 = 0 -3 + -10y + 8y2 = 0 + 10y + -10y -3 + -10y + 8y2 = 10y + -10y Combine like terms: 10y + -10y = 0 -3 + -10y + 8y2 = 0 Factor a trinomial. (-1 + -4y)(3 + -2y) = 0Subproblem 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 '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-0.25, 1.5}
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