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Simplifying 25y2 = 70y + -49 Reorder the terms: 25y2 = -49 + 70y Solving 25y2 = -49 + 70y Solving for variable 'y'. Reorder the terms: 49 + -70y + 25y2 = -49 + 70y + 49 + -70y Reorder the terms: 49 + -70y + 25y2 = -49 + 49 + 70y + -70y Combine like terms: -49 + 49 = 0 49 + -70y + 25y2 = 0 + 70y + -70y 49 + -70y + 25y2 = 70y + -70y Combine like terms: 70y + -70y = 0 49 + -70y + 25y2 = 0 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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