y^2+4y-10=2y-2

Simple and best practice solution for y^2+4y-10=2y-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 y^2+4y-10=2y-2 equation: 


Simplifying
y2 + 4y + -10 = 2y + -2

Reorder the terms:
-10 + 4y + y2 = 2y + -2

Reorder the terms:
-10 + 4y + y2 = -2 + 2y

Solving
-10 + 4y + y2 = -2 + 2y

Solving for variable 'y'.

Reorder the terms:
-10 + 2 + 4y + -2y + y2 = -2 + 2y + 2 + -2y

Combine like terms: -10 + 2 = -8
-8 + 4y + -2y + y2 = -2 + 2y + 2 + -2y

Combine like terms: 4y + -2y = 2y
-8 + 2y + y2 = -2 + 2y + 2 + -2y

Reorder the terms:
-8 + 2y + y2 = -2 + 2 + 2y + -2y

Combine like terms: -2 + 2 = 0
-8 + 2y + y2 = 0 + 2y + -2y
-8 + 2y + y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
-8 + 2y + y2 = 0

Factor a trinomial.
(-4 + -1y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-4 + -1y)' equal to zero and attempt to solve:

Simplifying
-4 + -1y = 0

Solving
-4 + -1y = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1y = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = 0 + 4
-1y = 0 + 4

Combine like terms: 0 + 4 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4

Subproblem 2
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
Solution
y = {-4, 2}

See similar equations:

| -36-7x=x+20 | | x^2-5x-10=4 | | 5.9q-4.6-5.2q=-0.3q-5.1 | | Ax+y=C | | 2x+38=11x-61 | | -3+6=-9(y+4) | | 4p+9q-2p-6q= | | 3x+2+3x+2+x+x=120 | | -7y+3=-8y+9 | | 3x+142=9x-14 | | 2b+3b-5=-21 | | 3y^2-13y+12= | | (2x-3)(2x+5)= | | 6x-4=12x+3 | | 6x-5=55 | | f=280n+25a | | 7-2x=5x+21 | | -3x-y=-10 | | -10+3x=2 | | 2x+5=12x-3 | | 12-4x=4x+4 | | 4y-10=2y+6 | | 24x^3+100x^2+42x-49=0 | | x(x-2)=3 | | x^3-12x^2-24x+100=0 | | 49-4x=5x+21 | | 13-8x=38-15x | | 290x-5= | | 4-2n=12 | | 290x-5+250x+3=180 | | 15x+13=15+15x | | 15x+13=15+15 |

Equations solver categories