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

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


Simplifying
(4y + -3)(2 + y) = 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 = 5y
(-6 + 5y + 4y2) = 0

Solving
-6 + 5y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(3 + -4y) = 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 '(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:

| 4c^2+10c+9=0 | | z^5+5*z^3-i*z^2-5*i=0 | | -2(2x-4)=6x-(-3+x) | | 9f=3f+4 | | 2h+7=8h-1 | | 2n+4=n-2-n | | 14b=3a | | 3x-6+6=18 | | 8x+-3=-67 | | 4x^2+24x+35=175 | | 45y+5x=25 | | 10(x+3)-20=30x+10+2(x+5) | | 5x-6=-6-5x-4x | | 5x^2-32x+12= | | 13-7x=71-21x | | 3x*7=40 | | 10x^2+2x-8=0 | | 3x=4x-2y | | -6(3b+4)+(19b-3)=0 | | 4x-12=3x+9 | | x+3/3-4x-1/6=3+x/3 | | -4m+5m=4m+m | | 2x+10=(x+5)-15 | | -3p=-3p+2 | | -6(3b-5)-3(4b+1)=-2 | | 3x-4=12x+49 | | 26-(x+5)=8x-6 | | 2x+3x-4x=2x+3 | | x*6=2*5 | | 11x+19=5x+157 | | 2+8=12Y-7-11Y | | 12a-11=10a-1 |

Equations solver categories