y(3y+5)=-2

Simple and best practice solution for y(3y+5)=-2 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(3y+5)=-2 equation:


Simplifying
y(3y + 5) = -2

Reorder the terms:
y(5 + 3y) = -2
(5 * y + 3y * y) = -2
(5y + 3y2) = -2

Solving
5y + 3y2 = -2

Solving for variable 'y'.

Reorder the terms:
2 + 5y + 3y2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 5y + 3y2 = 0

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

Subproblem 1

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

Subproblem 2

Set the factor '(2 + 3y)' equal to zero and attempt to solve: Simplifying 2 + 3y = 0 Solving 2 + 3y = 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 + 3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 0 + -2 3y = 0 + -2 Combine like terms: 0 + -2 = -2 3y = -2 Divide each side by '3'. y = -0.6666666667 Simplifying y = -0.6666666667

Solution

y = {-1, -0.6666666667}

See similar equations:

| ln(x+1)=ln(11)+ln(20) | | y=-(3)-3 | | y=-(2)-3 | | (x+2)(x+a)=x^2+5x+b | | 2y+y=15 | | 3(a+2)5=2a+4 | | 0=630-0.00635x^2 | | 12x+24=36x | | 3w^2+22w+16=0 | | 3/5y=7/10 | | z/2=.2(z+2) | | y=-(-0)-3 | | 5x+4y=-5 | | cos(28)=3/x | | Y=-7+-3 | | 5+8x=3xgraph | | 5u^3+3u^2+25u+15= | | 5x+76=-5 | | (k-3)/4=k | | r+776=75678965 | | 27+9x=4x+10 | | 10x+12y=10 | | 2/3x-5/3=3 | | 15y^2-16y-15=0 | | 5y-2y+32=0 | | 9x+12+15=4x+10 | | 15r^2+34ra+15a^2=0 | | 8u+9v-3(5u-7y)= | | (4X)^2/8X^-3= | | 2x-(-5)=-12 | | 4(b+3)=6b-10 | | 64X^15+64X^15= |

Equations solver categories