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Simplifying 64y2 + -48y + 18 = 9 Reorder the terms: 18 + -48y + 64y2 = 9 Solving 18 + -48y + 64y2 = 9 Solving for variable 'y'. Reorder the terms: 18 + -9 + -48y + 64y2 = 9 + -9 Combine like terms: 18 + -9 = 9 9 + -48y + 64y2 = 9 + -9 Combine like terms: 9 + -9 = 0 9 + -48y + 64y2 = 0 Factor a trinomial. (3 + -8y)(3 + -8y) = 0Subproblem 1
Set the factor '(3 + -8y)' equal to zero and attempt to solve: Simplifying 3 + -8y = 0 Solving 3 + -8y = 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 + -8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = 0 + -3 -8y = 0 + -3 Combine like terms: 0 + -3 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375Subproblem 2
Set the factor '(3 + -8y)' equal to zero and attempt to solve: Simplifying 3 + -8y = 0 Solving 3 + -8y = 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 + -8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = 0 + -3 -8y = 0 + -3 Combine like terms: 0 + -3 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375Solution
y = {0.375, 0.375}
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