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Simplifying (3 + -2y)(3 + 7y) = 0 Multiply (3 + -2y) * (3 + 7y) (3(3 + 7y) + -2y * (3 + 7y)) = 0 ((3 * 3 + 7y * 3) + -2y * (3 + 7y)) = 0 ((9 + 21y) + -2y * (3 + 7y)) = 0 (9 + 21y + (3 * -2y + 7y * -2y)) = 0 (9 + 21y + (-6y + -14y2)) = 0 Combine like terms: 21y + -6y = 15y (9 + 15y + -14y2) = 0 Solving 9 + 15y + -14y2 = 0 Solving for variable 'y'. Factor a trinomial. (3 + -2y)(3 + 7y) = 0Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Subproblem 2
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 = -0.4285714286Solution
y = {1.5, -0.4285714286}
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