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Simplifying (5 + -7y)(1 + -9y) = 0 Multiply (5 + -7y) * (1 + -9y) (5(1 + -9y) + -7y * (1 + -9y)) = 0 ((1 * 5 + -9y * 5) + -7y * (1 + -9y)) = 0 ((5 + -45y) + -7y * (1 + -9y)) = 0 (5 + -45y + (1 * -7y + -9y * -7y)) = 0 (5 + -45y + (-7y + 63y2)) = 0 Combine like terms: -45y + -7y = -52y (5 + -52y + 63y2) = 0 Solving 5 + -52y + 63y2 = 0 Solving for variable 'y'. Factor a trinomial. (1 + -9y)(5 + -7y) = 0Subproblem 1
Set the factor '(1 + -9y)' equal to zero and attempt to solve: Simplifying 1 + -9y = 0 Solving 1 + -9y = 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 + -9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9y = 0 + -1 -9y = 0 + -1 Combine like terms: 0 + -1 = -1 -9y = -1 Divide each side by '-9'. y = 0.1111111111 Simplifying y = 0.1111111111Subproblem 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 = {0.1111111111, 0.7142857143}
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