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Simplifying 0 = -4y2 + 20y + -21 Reorder the terms: 0 = -21 + 20y + -4y2 Solving 0 = -21 + 20y + -4y2 Solving for variable 'y'. Combine like terms: 0 + 21 = 21 21 + -20y + 4y2 = -21 + 20y + -4y2 + 21 + -20y + 4y2 Reorder the terms: 21 + -20y + 4y2 = -21 + 21 + 20y + -20y + -4y2 + 4y2 Combine like terms: -21 + 21 = 0 21 + -20y + 4y2 = 0 + 20y + -20y + -4y2 + 4y2 21 + -20y + 4y2 = 20y + -20y + -4y2 + 4y2 Combine like terms: 20y + -20y = 0 21 + -20y + 4y2 = 0 + -4y2 + 4y2 21 + -20y + 4y2 = -4y2 + 4y2 Combine like terms: -4y2 + 4y2 = 0 21 + -20y + 4y2 = 0 Factor a trinomial. (3 + -2y)(7 + -2y) = 0Subproblem 1
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 = 1.5Subproblem 2
Set the factor '(7 + -2y)' equal to zero and attempt to solve: Simplifying 7 + -2y = 0 Solving 7 + -2y = 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 + -2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y = 0 + -7 -2y = 0 + -7 Combine like terms: 0 + -7 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5Solution
y = {1.5, 3.5}
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