4y^2=21y+18

Simple and best practice solution for 4y^2=21y+18 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^2=21y+18 equation:


Simplifying
4y2 = 21y + 18

Reorder the terms:
4y2 = 18 + 21y

Solving
4y2 = 18 + 21y

Solving for variable 'y'.

Reorder the terms:
-18 + -21y + 4y2 = 18 + 21y + -18 + -21y

Reorder the terms:
-18 + -21y + 4y2 = 18 + -18 + 21y + -21y

Combine like terms: 18 + -18 = 0
-18 + -21y + 4y2 = 0 + 21y + -21y
-18 + -21y + 4y2 = 21y + -21y

Combine like terms: 21y + -21y = 0
-18 + -21y + 4y2 = 0

Factor a trinomial.
(-3 + -4y)(6 + -1y) = 0

Subproblem 1

Set the factor '(-3 + -4y)' equal to zero and attempt to solve: Simplifying -3 + -4y = 0 Solving -3 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = 0 + 3 -4y = 0 + 3 Combine like terms: 0 + 3 = 3 -4y = 3 Divide each side by '-4'. y = -0.75 Simplifying y = -0.75

Subproblem 2

Set the factor '(6 + -1y)' equal to zero and attempt to solve: Simplifying 6 + -1y = 0 Solving 6 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 0 + -6 -1y = 0 + -6 Combine like terms: 0 + -6 = -6 -1y = -6 Divide each side by '-1'. y = 6 Simplifying y = 6

Solution

y = {-0.75, 6}

See similar equations:

| r/7+1=-3 | | 3k+12=-6 | | 2g-9=-17 | | 4g+1=-11 | | 6f-3=-3 | | 5d+3=-2 | | c/2+6=4 | | 4d=-9 | | d-31/2=-2 | | r+7=-2 | | 32Z^5+1=0 | | 64x+3=4 | | 6x+7=2x+2+6+4x | | 6x-10=8+3x | | 2x+(x-135)=1860 | | 2x+(x-145)=1860 | | -1/2(5x-9)=19 | | 2x+(x-165)=1860 | | (5*x^2)+(14*x)+1=0 | | 5n+9=4 | | 2*u+a*v-2*v-a*u=0 | | 11y/11=-3/11 | | 5(3k-7)=2(7k-2) | | -1x+6y=67 | | x-8+5x=32-2x | | (2)[3(5+2)-1]= | | 2x+(x-150)=1860 | | am+an+ay-bm-bn+by= | | 2*x^2+5*x+3=0 | | 29+15x=-x+-3 | | -25-29b=-8 | | 3x-12=2x+22 |

Equations solver categories