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Simplifying 32y2 + 84y + 49 = 0 Reorder the terms: 49 + 84y + 32y2 = 0 Solving 49 + 84y + 32y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + 4y)(7 + 8y) = 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 '(7 + 8y)' equal to zero and attempt to solve: Simplifying 7 + 8y = 0 Solving 7 + 8y = 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 + 8y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 0 + -7 8y = 0 + -7 Combine like terms: 0 + -7 = -7 8y = -7 Divide each side by '8'. y = -0.875 Simplifying y = -0.875Solution
y = {-1.75, -0.875}
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