(y+4)(3y-5)=0

Simple and best practice solution for (y+4)(3y-5)=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 (y+4)(3y-5)=0 equation:


Simplifying
(y + 4)(3y + -5) = 0

Reorder the terms:
(4 + y)(3y + -5) = 0

Reorder the terms:
(4 + y)(-5 + 3y) = 0

Multiply (4 + y) * (-5 + 3y)
(4(-5 + 3y) + y(-5 + 3y)) = 0
((-5 * 4 + 3y * 4) + y(-5 + 3y)) = 0
((-20 + 12y) + y(-5 + 3y)) = 0
(-20 + 12y + (-5 * y + 3y * y)) = 0
(-20 + 12y + (-5y + 3y2)) = 0

Combine like terms: 12y + -5y = 7y
(-20 + 7y + 3y2) = 0

Solving
-20 + 7y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-4 + -1y)(5 + -3y) = 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 '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Solution

y = {-4, 1.666666667}

See similar equations:

| y^2=11y | | 0=-16t^2+50t-6 | | -3y=y-1.2 | | 10x^2-18r=40 | | r^2-14r=0 | | 2-2x=2x^2+5x-7 | | 16x^4-8x^3-12x^2-18x-108=0 | | 116=-x+111 | | k^2-8k+15=0 | | X^4-13x^2-36=0 | | 3x+2y-2=-8 | | 15x^2-15x^4=0 | | 0.4b+0.3b=14 | | y=3+1 | | -27+42=x | | p^2=-9p | | r=5g+5w | | (4x)(-2x)(2x)= | | -31-1= | | y=3x^2-5x+2 | | 2x^3+24x^2+40=0 | | 0.5(x+12)=7 | | 9(4x-1)2+4=-15(4x-1) | | 350-156x+12x^2=0 | | X^3-9X^2-4X+6=0 | | 2x-(1-3x)=8x-2(3x-4) | | 9x(-4a)(2a)= | | 7-20y= | | y=-4+1 | | p(p+3)=70 | | 8x^2+5x=1 | | 4x^2=-5x |

Equations solver categories