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Simplifying (5y + -2)(7y + -3) = 0 Reorder the terms: (-2 + 5y)(7y + -3) = 0 Reorder the terms: (-2 + 5y)(-3 + 7y) = 0 Multiply (-2 + 5y) * (-3 + 7y) (-2(-3 + 7y) + 5y * (-3 + 7y)) = 0 ((-3 * -2 + 7y * -2) + 5y * (-3 + 7y)) = 0 ((6 + -14y) + 5y * (-3 + 7y)) = 0 (6 + -14y + (-3 * 5y + 7y * 5y)) = 0 (6 + -14y + (-15y + 35y2)) = 0 Combine like terms: -14y + -15y = -29y (6 + -29y + 35y2) = 0 Solving 6 + -29y + 35y2 = 0 Solving for variable 'y'. Factor a trinomial. (2 + -5y)(3 + -7y) = 0Subproblem 1
Set the factor '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4Subproblem 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 = {0.4, 0.4285714286}
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