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Simplifying 4(5y2 + 3) = 31y Reorder the terms: 4(3 + 5y2) = 31y (3 * 4 + 5y2 * 4) = 31y (12 + 20y2) = 31y Solving 12 + 20y2 = 31y Solving for variable 'y'. Reorder the terms: 12 + -31y + 20y2 = 31y + -31y Combine like terms: 31y + -31y = 0 12 + -31y + 20y2 = 0 Factor a trinomial. (3 + -4y)(4 + -5y) = 0Subproblem 1
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 = 0.75Subproblem 2
Set the factor '(4 + -5y)' equal to zero and attempt to solve: Simplifying 4 + -5y = 0 Solving 4 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5y = 0 + -4 -5y = 0 + -4 Combine like terms: 0 + -4 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8Solution
y = {0.75, 0.8}
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