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Simplifying 16y2 + 24y + -7 = 0 Reorder the terms: -7 + 24y + 16y2 = 0 Solving -7 + 24y + 16y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -4y)(1 + -4y) = 0Subproblem 1
Set the factor '(-7 + -4y)' equal to zero and attempt to solve: Simplifying -7 + -4y = 0 Solving -7 + -4y = 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 + -4y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4y = 0 + 7 -4y = 0 + 7 Combine like terms: 0 + 7 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75Subproblem 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 = {-1.75, 0.25}
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