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Simplifying (25 + -20y + 4y2) + -1y2 = 32 Remove parenthesis around (25 + -20y + 4y2) 25 + -20y + 4y2 + -1y2 = 32 Combine like terms: 4y2 + -1y2 = 3y2 25 + -20y + 3y2 = 32 Solving 25 + -20y + 3y2 = 32 Solving for variable 'y'. Reorder the terms: 25 + -32 + -20y + 3y2 = 32 + -32 Combine like terms: 25 + -32 = -7 -7 + -20y + 3y2 = 32 + -32 Combine like terms: 32 + -32 = 0 -7 + -20y + 3y2 = 0 Factor a trinomial. (-1 + -3y)(7 + -1y) = 0Subproblem 1
Set the factor '(-1 + -3y)' equal to zero and attempt to solve: Simplifying -1 + -3y = 0 Solving -1 + -3y = 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 + -3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3y = 0 + 1 -3y = 0 + 1 Combine like terms: 0 + 1 = 1 -3y = 1 Divide each side by '-3'. y = -0.3333333333 Simplifying y = -0.3333333333Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 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 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7Solution
y = {-0.3333333333, 7}
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