(5y-5)(5y-15)=0

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Solution for (5y-5)(5y-15)=0 equation:


Simplifying
(5y + -5)(5y + -15) = 0

Reorder the terms:
(-5 + 5y)(5y + -15) = 0

Reorder the terms:
(-5 + 5y)(-15 + 5y) = 0

Multiply (-5 + 5y) * (-15 + 5y)
(-5(-15 + 5y) + 5y * (-15 + 5y)) = 0
((-15 * -5 + 5y * -5) + 5y * (-15 + 5y)) = 0
((75 + -25y) + 5y * (-15 + 5y)) = 0
(75 + -25y + (-15 * 5y + 5y * 5y)) = 0
(75 + -25y + (-75y + 25y2)) = 0

Combine like terms: -25y + -75y = -100y
(75 + -100y + 25y2) = 0

Solving
75 + -100y + 25y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '25'.
25(3 + -4y + y2) = 0

Factor a trinomial.
25((1 + -1y)(3 + -1y)) = 0

Ignore the factor 25.

Subproblem 1

Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1

Subproblem 2

Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3

Solution

y = {1, 3}

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