-4y=3y^2-7

Simple and best practice solution for -4y=3y^2-7 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 -4y=3y^2-7 equation:


Simplifying
-4y = 3y2 + -7

Reorder the terms:
-4y = -7 + 3y2

Solving
-4y = -7 + 3y2

Solving for variable 'y'.

Reorder the terms:
7 + -4y + -3y2 = -7 + 3y2 + 7 + -3y2

Reorder the terms:
7 + -4y + -3y2 = -7 + 7 + 3y2 + -3y2

Combine like terms: -7 + 7 = 0
7 + -4y + -3y2 = 0 + 3y2 + -3y2
7 + -4y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
7 + -4y + -3y2 = 0

Factor a trinomial.
(1 + -1y)(7 + 3y) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 3y)' equal to zero and attempt to solve: Simplifying 7 + 3y = 0 Solving 7 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 0 + -7 3y = 0 + -7 Combine like terms: 0 + -7 = -7 3y = -7 Divide each side by '3'. y = -2.333333333 Simplifying y = -2.333333333

Solution

y = {1, -2.333333333}

See similar equations:

| -14+(-3)+7+(-6)= | | -9y=4y^2+5 | | -6y=4y^2-4 | | 0=x^3+3x^2-16x-48 | | 11x+5-7x+21x= | | 4r-16=-12+5r | | 7x-8=-17+8x | | (3v-4)(4v-6)=0 | | x^2-8x=x+18 | | -6(1+7k)+(1+6k)=-2 | | 6+4n=36 | | x(x^2+2)=0 | | (9X-8)(4X+9)= | | -17+(-3)+29= | | 59-4x=32+19 | | 9y-3(y-4)+8= | | -10x+88=0 | | 2(t-4)+3(t+5)=2t-2 | | 12+2.5=5a | | (-23.083)(3)= | | 10x^3+14x-25x^2-35= | | 2x+25=10x-47 | | 2(a-4)+7(b-8)= | | 18+3x=22+3k | | 9(x+Y)= | | W^3+8= | | 116-4x=23x+20 | | 10X-3Y=159 | | 13-7x=73-28x | | 6x^6-33x^5-18x^4=0 | | 1+2+3+w=2w | | 2x+15=2x+20-5 |

Equations solver categories