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Simplifying y + -4 * 4y2 + -3y + 5 = 0 Multiply -4 * 4 y + -16y2 + -3y + 5 = 0 Reorder the terms: 5 + y + -3y + -16y2 = 0 Combine like terms: y + -3y = -2y 5 + -2y + -16y2 = 0 Solving 5 + -2y + -16y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -2y)(5 + 8y) = 0Subproblem 1
Set the factor '(1 + -2y)' equal to zero and attempt to solve: Simplifying 1 + -2y = 0 Solving 1 + -2y = 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 + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = 0 + -1 -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5Subproblem 2
Set the factor '(5 + 8y)' equal to zero and attempt to solve: Simplifying 5 + 8y = 0 Solving 5 + 8y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8y = 0 + -5 8y = 0 + -5 Combine like terms: 0 + -5 = -5 8y = -5 Divide each side by '8'. y = -0.625 Simplifying y = -0.625Solution
y = {0.5, -0.625}
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