(5y-1)(23y-1)=

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Solution for (5y-1)(23y-1)= equation:


Simplifying
(5y + -1)(23y + -1) = 0

Reorder the terms:
(-1 + 5y)(23y + -1) = 0

Reorder the terms:
(-1 + 5y)(-1 + 23y) = 0

Multiply (-1 + 5y) * (-1 + 23y)
(-1(-1 + 23y) + 5y * (-1 + 23y)) = 0
((-1 * -1 + 23y * -1) + 5y * (-1 + 23y)) = 0
((1 + -23y) + 5y * (-1 + 23y)) = 0
(1 + -23y + (-1 * 5y + 23y * 5y)) = 0
(1 + -23y + (-5y + 115y2)) = 0

Combine like terms: -23y + -5y = -28y
(1 + -28y + 115y2) = 0

Solving
1 + -28y + 115y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -23y)(1 + -5y) = 0

Subproblem 1

Set the factor '(1 + -23y)' equal to zero and attempt to solve: Simplifying 1 + -23y = 0 Solving 1 + -23y = 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 + -23y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -23y = 0 + -1 -23y = 0 + -1 Combine like terms: 0 + -1 = -1 -23y = -1 Divide each side by '-23'. y = 0.04347826087 Simplifying y = 0.04347826087

Subproblem 2

Set the factor '(1 + -5y)' equal to zero and attempt to solve: Simplifying 1 + -5y = 0 Solving 1 + -5y = 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 + -5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5y = 0 + -1 -5y = 0 + -1 Combine like terms: 0 + -1 = -1 -5y = -1 Divide each side by '-5'. y = 0.2 Simplifying y = 0.2

Solution

y = {0.04347826087, 0.2}

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