4-y^2=403(y-2)

Simple and best practice solution for 4-y^2=403(y-2) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4-y^2=403(y-2) equation: 


Simplifying
4 + -1y2 = 403(y + -2)

Reorder the terms:
4 + -1y2 = 403(-2 + y)
4 + -1y2 = (-2 * 403 + y * 403)
4 + -1y2 = (-806 + 403y)

Solving
4 + -1y2 = -806 + 403y

Solving for variable 'y'.

Reorder the terms:
4 + 806 + -403y + -1y2 = -806 + 403y + 806 + -403y

Combine like terms: 4 + 806 = 810
810 + -403y + -1y2 = -806 + 403y + 806 + -403y

Reorder the terms:
810 + -403y + -1y2 = -806 + 806 + 403y + -403y

Combine like terms: -806 + 806 = 0
810 + -403y + -1y2 = 0 + 403y + -403y
810 + -403y + -1y2 = 403y + -403y

Combine like terms: 403y + -403y = 0
810 + -403y + -1y2 = 0

Factor a trinomial.
(2 + -1y)(405 + y) = 0


Subproblem 1
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

Subproblem 2
Set the factor '(405 + y)' equal to zero and attempt to solve:

Simplifying
405 + y = 0

Solving
405 + y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-405' to each side of the equation.
405 + -405 + y = 0 + -405

Combine like terms: 405 + -405 = 0
0 + y = 0 + -405
y = 0 + -405

Combine like terms: 0 + -405 = -405
y = -405

Simplifying
y = -405
Solution
y = {2, -405}

See similar equations:

| x^2-3x+12=1 | | 4+-x= | | 2x-2(x+19)=2x-3(7+x) | | x+(-33)=39 | | 7=r-9s | | 4x+-0x= | | -4n+5=17 | | 2x+17=31 | | -4+x= | | r^2-5=-4r | | 48=5u-12 | | x^2-y^2=403(y-x) | | -4n+5=15 | | 2[x-(5-4x)]+4=3x | | 6b^2c^3+6b^3c^2-3b^3c^2= | | 9/3(6x*4/8) | | (-2)(-7y+4)-3y=5(y-2)-7 | | 3n-(9+n)= | | 9-3r=-14 | | w+5.34=5.39 | | 5c^2-40c=4125 | | 0.38x+0.44(7)=0.4(x+7) | | -10x=210 | | (-5)v-1=7(v+5) | | -10=-210 | | (-2)(y+5)=(-4)y-12 | | 3(x+3)+3=3x+9 | | m-19=14 | | -(3x^2y+3z)+3z-7x^2y= | | 200t=-16t^2+200 | | (-5)y-11=(-9)(y-1) | | 1-4x=13-2x |

Equations solver categories