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Simplifying 49y2 + -56y + 16 = 0 Reorder the terms: 16 + -56y + 49y2 = 0 Solving 16 + -56y + 49y2 = 0 Solving for variable 'y'. Factor a trinomial. (4 + -7y)(4 + -7y) = 0Subproblem 1
Set the factor '(4 + -7y)' equal to zero and attempt to solve: Simplifying 4 + -7y = 0 Solving 4 + -7y = 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 + -7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = 0 + -4 -7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714Subproblem 2
Set the factor '(4 + -7y)' equal to zero and attempt to solve: Simplifying 4 + -7y = 0 Solving 4 + -7y = 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 + -7y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7y = 0 + -4 -7y = 0 + -4 Combine like terms: 0 + -4 = -4 -7y = -4 Divide each side by '-7'. y = 0.5714285714 Simplifying y = 0.5714285714Solution
y = {0.5714285714, 0.5714285714}
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