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Simplifying 4y2 = 4y + 483 Reorder the terms: 4y2 = 483 + 4y Solving 4y2 = 483 + 4y Solving for variable 'y'. Reorder the terms: -483 + -4y + 4y2 = 483 + 4y + -483 + -4y Reorder the terms: -483 + -4y + 4y2 = 483 + -483 + 4y + -4y Combine like terms: 483 + -483 = 0 -483 + -4y + 4y2 = 0 + 4y + -4y -483 + -4y + 4y2 = 4y + -4y Combine like terms: 4y + -4y = 0 -483 + -4y + 4y2 = 0 Factor a trinomial. (-21 + -2y)(23 + -2y) = 0Subproblem 1
Set the factor '(-21 + -2y)' equal to zero and attempt to solve: Simplifying -21 + -2y = 0 Solving -21 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -2y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -2y = 0 + 21 -2y = 0 + 21 Combine like terms: 0 + 21 = 21 -2y = 21 Divide each side by '-2'. y = -10.5 Simplifying y = -10.5Subproblem 2
Set the factor '(23 + -2y)' equal to zero and attempt to solve: Simplifying 23 + -2y = 0 Solving 23 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -2y = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2y = 0 + -23 -2y = 0 + -23 Combine like terms: 0 + -23 = -23 -2y = -23 Divide each side by '-2'. y = 11.5 Simplifying y = 11.5Solution
y = {-10.5, 11.5}
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