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Simplifying (2y + 7)(3y + -7) = 0 Reorder the terms: (7 + 2y)(3y + -7) = 0 Reorder the terms: (7 + 2y)(-7 + 3y) = 0 Multiply (7 + 2y) * (-7 + 3y) (7(-7 + 3y) + 2y * (-7 + 3y)) = 0 ((-7 * 7 + 3y * 7) + 2y * (-7 + 3y)) = 0 ((-49 + 21y) + 2y * (-7 + 3y)) = 0 (-49 + 21y + (-7 * 2y + 3y * 2y)) = 0 (-49 + 21y + (-14y + 6y2)) = 0 Combine like terms: 21y + -14y = 7y (-49 + 7y + 6y2) = 0 Solving -49 + 7y + 6y2 = 0 Solving for variable 'y'. Factor a trinomial. (-7 + -2y)(7 + -3y) = 0Subproblem 1
Set the factor '(-7 + -2y)' equal to zero and attempt to solve: Simplifying -7 + -2y = 0 Solving -7 + -2y = 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 + -2y = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2y = 0 + 7 -2y = 0 + 7 Combine like terms: 0 + 7 = 7 -2y = 7 Divide each side by '-2'. y = -3.5 Simplifying y = -3.5Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 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 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {-3.5, 2.333333333}
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