(5y-7)(5-y)=0

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Solution for (5y-7)(5-y)=0 equation:


Simplifying
(5y + -7)(5 + -1y) = 0

Reorder the terms:
(-7 + 5y)(5 + -1y) = 0

Multiply (-7 + 5y) * (5 + -1y)
(-7(5 + -1y) + 5y * (5 + -1y)) = 0
((5 * -7 + -1y * -7) + 5y * (5 + -1y)) = 0
((-35 + 7y) + 5y * (5 + -1y)) = 0
(-35 + 7y + (5 * 5y + -1y * 5y)) = 0
(-35 + 7y + (25y + -5y2)) = 0

Combine like terms: 7y + 25y = 32y
(-35 + 32y + -5y2) = 0

Solving
-35 + 32y + -5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + y)(7 + -5y) = 0

Subproblem 1

Set the factor '(-5 + y)' equal to zero and attempt to solve: Simplifying -5 + y = 0 Solving -5 + y = 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 + y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + y = 0 + 5 y = 0 + 5 Combine like terms: 0 + 5 = 5 y = 5 Simplifying y = 5

Subproblem 2

Set the factor '(7 + -5y)' equal to zero and attempt to solve: Simplifying 7 + -5y = 0 Solving 7 + -5y = 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 + -5y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5y = 0 + -7 -5y = 0 + -7 Combine like terms: 0 + -7 = -7 -5y = -7 Divide each side by '-5'. y = 1.4 Simplifying y = 1.4

Solution

y = {5, 1.4}

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