(-2y+5)(-2y+5)=0

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Solution for (-2y+5)(-2y+5)=0 equation:


Simplifying
(-2y + 5)(-2y + 5) = 0
Reorder the terms:
(5 + -2y)(-2y + 5) = 0
Reorder the terms:
(5 + -2y)(5 + -2y) = 0
Multiply (5 + -2y) * (5 + -2y)
(5(5 + -2y) + -2y * (5 + -2y)) = 0
((5 * 5 + -2y * 5) + -2y * (5 + -2y)) = 0
((25 + -10y) + -2y * (5 + -2y)) = 0
(25 + -10y + (5 * -2y + -2y * -2y)) = 0
(25 + -10y + (-10y + 4y2)) = 0
Combine like terms: -10y + -10y = -20y
(25 + -20y + 4y2) = 0
Solving
25 + -20y + 4y2 = 0
Solving for variable 'y'.
Factor a trinomial.
(5 + -2y)(5 + -2y) = 0

Subproblem 1

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5

Subproblem 2

Set the factor '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 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 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5

Solution

y = {2.5, 2.5}

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