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Simplifying (-3y + 7)(-3y + 7) = 0 Reorder the terms: (7 + -3y)(-3y + 7) = 0 Reorder the terms: (7 + -3y)(7 + -3y) = 0 Multiply (7 + -3y) * (7 + -3y) (7(7 + -3y) + -3y * (7 + -3y)) = 0 ((7 * 7 + -3y * 7) + -3y * (7 + -3y)) = 0 ((49 + -21y) + -3y * (7 + -3y)) = 0 (49 + -21y + (7 * -3y + -3y * -3y)) = 0 (49 + -21y + (-21y + 9y2)) = 0 Combine like terms: -21y + -21y = -42y (49 + -42y + 9y2) = 0 Solving 49 + -42y + 9y2 = 0 Solving for variable 'y'. Factor a trinomial. (7 + -3y)(7 + -3y) = 0Subproblem 1
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 = 2.333333333Subproblem 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 = {2.333333333, 2.333333333}
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