Question 391295
(x^(2))/(4)=((1-y)^(2))/(25)

Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
((1-y)^(2))/(25)=(x^(2))/(4)

Reorder the polynomial 1-y alphabetically from left to right, starting with the highest order term.
((-y+1)^(2))/(25)=(x^(2))/(4)

Multiply each term in the equation by 25.
((-y+1)^(2))/(25)*25=(x^(2))/(4)*25

Simplify the left-hand side of the equation by canceling the common factors.
(-y+1)^(2)=(x^(2))/(4)*25

Multiply (x^(2))/(4) by 25 to get (25x^(2))/(4).
(-y+1)^(2)=(25x^(2))/(4)

Take the square root of each side of the equation to setup the solution for y.
~((-y+1)^(2))=\~((25x^(2))/(4))

Remove the perfect root factor (-y+1) under the radical to solve for y.
(-y+1)=\~((25x^(2))/(4))

Pull all perfect square roots out from under the radical.  In this case, remove the 5x because it is a perfect square.
(-y+1)=\(5x)/(2)

First, substitute in the + portion of the \ to find the first solution.
(-y+1)=(5x)/(2)

Remove the parentheses around the expression -y+1.
-y+1=(5x)/(2)

Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
-y=-1+(5x)/(2)

Move all terms not containing y to the right-hand side of the equation.
-y=(5x)/(2)-1

Multiply each term in the equation by -1.
-y*-1=(5x)/(2)*-1-1*-1

Multiply -y by -1 to get y.
y=(5x)/(2)*-1-1*-1

Simplify the right-hand side of the equation by simplifying each term.
y=-(5x)/(2)+1

Next, substitute in the - portion of the \ to find the second solution.
(-y+1)=-(5x)/(2)

Remove the parentheses around the expression -y+1.
-y+1=-(5x)/(2)

Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
-y=-1-(5x)/(2)

Move all terms not containing y to the right-hand side of the equation.
-y=-(5x)/(2)-1

Multiply each term in the equation by -1.
-y*-1=-(5x)/(2)*-1-1*-1

Multiply -y by -1 to get y.
y=-(5x)/(2)*-1-1*-1

Simplify the right-hand side of the equation by simplifying each term.
y=(5x)/(2)+1

The complete solution is the result of both the + and - portions of the solution.
y=-(5x)/(2)+1,(5x)/(2)+1