y(y+3)=40

Simple and best practice solution for y(y+3)=40 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(y+3)=40 equation:


Simplifying
y(y + 3) = 40

Reorder the terms:
y(3 + y) = 40
(3 * y + y * y) = 40
(3y + y2) = 40

Solving
3y + y2 = 40

Solving for variable 'y'.

Reorder the terms:
-40 + 3y + y2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 3y + y2 = 0

Factor a trinomial.
(-8 + -1y)(5 + -1y) = 0

Subproblem 1

Set the factor '(-8 + -1y)' equal to zero and attempt to solve: Simplifying -8 + -1y = 0 Solving -8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8

Subproblem 2

Set the factor '(5 + -1y)' equal to zero and attempt to solve: Simplifying 5 + -1y = 0 Solving 5 + -1y = 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 + -1y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 0 + -5 -1y = 0 + -5 Combine like terms: 0 + -5 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5

Solution

y = {-8, 5}

See similar equations:

| -2x+3y-5x+-8y+9y= | | -25+1= | | C-25.5=6.1c | | solve-2x+3y-5x+-8y+9y= | | w/6-w/10=1/6 | | 2a+9=6A+15 | | 10y-5x=40 | | 1.5=1.5 | | 6-2/5x9 | | 4x^2/x^2 | | 2g-8=4g-12 | | 3(y+2)+3y=6 | | F(2)=4(2)-2 | | 8a^3-16a^2r+8ar^2-r^3=0 | | y=4(x-9) | | 7(x+2)-15=3x-17 | | (-2x^4/4)^5 | | 0.5+y=1.5 | | =7-(-5) | | 8u-3/3-8u | | -2(x-3)+8=4(x+2)-6 | | 2x^2+10x=7x+35 | | 100/7(x−70)=100/7x−1000 | | (-4)(9)= | | 3/5(7x−1)=(x−5) | | 3/5(7b−1)=(b−5) | | 14x-9x=15 | | 4n+40= | | 1.5x-3=x | | 2.6-5.1x=11.68 | | F(0)=4(0)-2 | | X-4=3(x+5)-9 |

Equations solver categories