(4y+3)(y+2)=0

Simple and best practice solution for (4y+3)(y+2)=0 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+3)(y+2)=0 equation:


Simplifying
(4y + 3)(y + 2) = 0

Reorder the terms:
(3 + 4y)(y + 2) = 0

Reorder the terms:
(3 + 4y)(2 + y) = 0

Multiply (3 + 4y) * (2 + y)
(3(2 + y) + 4y * (2 + y)) = 0
((2 * 3 + y * 3) + 4y * (2 + y)) = 0
((6 + 3y) + 4y * (2 + y)) = 0
(6 + 3y + (2 * 4y + y * 4y)) = 0
(6 + 3y + (8y + 4y2)) = 0

Combine like terms: 3y + 8y = 11y
(6 + 11y + 4y2) = 0

Solving
6 + 11y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + y)(3 + 4y) = 0

Subproblem 1

Set the factor '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 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 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2

Subproblem 2

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

Solution

y = {-2, -0.75}

See similar equations:

| 8x+y=12x-y | | 3+-3d=15 | | -t+(t-7)=-5 | | -174=6(1+6m) | | -g+12=6 | | -4(2n+6)=-64 | | 2x+3=8x-26 | | -8z(z+7)=0 | | 4c-3.5+4.7=-10.8 | | v+17=-5(8v+5)-v | | 62=-2(-6+5b) | | 1/2/2/15 | | 3(q+3)=12 | | 2j(j-4)=0 | | 4x^2+24x=4 | | 8=2(h+18) | | 10+4x+5y=0 | | 8(3s+8)=304 | | 12=4(h+1) | | (5c+3)(c-4)=0 | | -3/7w=15 | | y=42.50+15 | | -8(-3k-3)=-144 | | 12x+1=6x+13 | | 48=360-(116+(5x-147)+2x) | | 12x+1+6x+13=90 | | 200=4(7k+1) | | 2x-.625=x+1.25 | | 13+.64(-3)= | | 2=m+-3 | | 4(3x1/2)=52 | | 329=-7(1-6m) |

Equations solver categories