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Simplifying 25Y2 + -70Y + 49 = 0 Reorder the terms: 49 + -70Y + 25Y2 = 0 Solving 49 + -70Y + 25Y2 = 0 Solving for variable 'Y'. Factor a trinomial. (7 + -5Y)(7 + -5Y) = 0Subproblem 1
Set the factor '(7 + -5Y)' equal to zero and attempt to solve: Simplifying 7 + -5Y = 0 Solving 7 + -5Y = 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 + -5Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5Y = 0 + -7 -5Y = 0 + -7 Combine like terms: 0 + -7 = -7 -5Y = -7 Divide each side by '-5'. Y = 1.4 Simplifying Y = 1.4Subproblem 2
Set the factor '(7 + -5Y)' equal to zero and attempt to solve: Simplifying 7 + -5Y = 0 Solving 7 + -5Y = 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 + -5Y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5Y = 0 + -7 -5Y = 0 + -7 Combine like terms: 0 + -7 = -7 -5Y = -7 Divide each side by '-5'. Y = 1.4 Simplifying Y = 1.4Solution
Y = {1.4, 1.4}
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