(5y+2)(y-3)=-13(2+y)

Simple and best practice solution for (5y+2)(y-3)=-13(2+y) 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 (5y+2)(y-3)=-13(2+y) equation:


Simplifying
(5y + 2)(y + -3) = -13(2 + y)

Reorder the terms:
(2 + 5y)(y + -3) = -13(2 + y)

Reorder the terms:
(2 + 5y)(-3 + y) = -13(2 + y)

Multiply (2 + 5y) * (-3 + y)
(2(-3 + y) + 5y * (-3 + y)) = -13(2 + y)
((-3 * 2 + y * 2) + 5y * (-3 + y)) = -13(2 + y)
((-6 + 2y) + 5y * (-3 + y)) = -13(2 + y)
(-6 + 2y + (-3 * 5y + y * 5y)) = -13(2 + y)
(-6 + 2y + (-15y + 5y2)) = -13(2 + y)

Combine like terms: 2y + -15y = -13y
(-6 + -13y + 5y2) = -13(2 + y)
-6 + -13y + 5y2 = (2 * -13 + y * -13)
-6 + -13y + 5y2 = (-26 + -13y)

Add '13y' to each side of the equation.
-6 + -13y + 13y + 5y2 = -26 + -13y + 13y

Combine like terms: -13y + 13y = 0
-6 + 0 + 5y2 = -26 + -13y + 13y
-6 + 5y2 = -26 + -13y + 13y

Combine like terms: -13y + 13y = 0
-6 + 5y2 = -26 + 0
-6 + 5y2 = -26

Solving
-6 + 5y2 = -26

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + 5y2 = -26 + 6

Combine like terms: -6 + 6 = 0
0 + 5y2 = -26 + 6
5y2 = -26 + 6

Combine like terms: -26 + 6 = -20
5y2 = -20

Divide each side by '5'.
y2 = -4

Simplifying
y2 = -4

Reorder the terms:
4 + y2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + y2 = 0

The solution to this equation could not be determined.

See similar equations:

| h=-16t^2+128t+8 | | x=-1-3(1) | | 8(-1-3y)+3y=-29 | | x^2-22.5x=88 | | 79+0.1x=59+0.25x | | 7x-5=4x-74 | | 4y+3=y+18 | | 3+20=500 | | z=27i | | 2/3n-5/6=1/8 | | 13m+4n-6m+11= | | 23-8x=-65 | | (dy/dx)=cos(x-1) | | x^2+3.1x+1.5=0 | | 1/7n-9=27 | | mdx-ndy=0 | | x^2-px=2p^2 | | (4p^3)^1/2 | | x^3-12x^2+48x=0 | | 5x=(3x+54) | | 5x^2-x*2=0 | | 3y+7=2y+27 | | (8x-5)(4x+3)=0 | | 4x^3-12x^2+14x-6=0 | | 7m=4m+5 | | (x-5)+(3x+4)=0 | | 15a^2=4a | | 3x/x=4/5 | | 0.9x-0.8-13=-3.1 | | x/5=x/13 | | 125x^3+216=-0 | | 5x/20=3/5 |

Equations solver categories