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Simplifying 17y = 4(y2 + 1) Reorder the terms: 17y = 4(1 + y2) 17y = (1 * 4 + y2 * 4) 17y = (4 + 4y2) Solving 17y = 4 + 4y2 Solving for variable 'y'. Reorder the terms: -4 + 17y + -4y2 = 4 + 4y2 + -4 + -4y2 Reorder the terms: -4 + 17y + -4y2 = 4 + -4 + 4y2 + -4y2 Combine like terms: 4 + -4 = 0 -4 + 17y + -4y2 = 0 + 4y2 + -4y2 -4 + 17y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -4 + 17y + -4y2 = 0 Factor a trinomial. (-4 + y)(1 + -4y) = 0Subproblem 1
Set the factor '(-4 + y)' equal to zero and attempt to solve: Simplifying -4 + y = 0 Solving -4 + y = 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 + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y = 0 + 4 y = 0 + 4 Combine like terms: 0 + 4 = 4 y = 4 Simplifying y = 4Subproblem 2
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 = 0.25Solution
y = {4, 0.25}
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