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Simplifying -49y2 + -14y + 15 = 0 Reorder the terms: 15 + -14y + -49y2 = 0 Solving 15 + -14y + -49y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -7y)(5 + 7y) = 0Subproblem 1
Set the factor '(3 + -7y)' equal to zero and attempt to solve: Simplifying 3 + -7y = 0 Solving 3 + -7y = 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 + -7y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7y = 0 + -3 -7y = 0 + -3 Combine like terms: 0 + -3 = -3 -7y = -3 Divide each side by '-7'. y = 0.4285714286 Simplifying y = 0.4285714286Subproblem 2
Set the factor '(5 + 7y)' equal to zero and attempt to solve: Simplifying 5 + 7y = 0 Solving 5 + 7y = 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 + 7y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7y = 0 + -5 7y = 0 + -5 Combine like terms: 0 + -5 = -5 7y = -5 Divide each side by '7'. y = -0.7142857143 Simplifying y = -0.7142857143Solution
y = {0.4285714286, -0.7142857143}
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