(2y+1)(7-y)=0

Simple and best practice solution for (2y+1)(7-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 (2y+1)(7-y)=0 equation:


Simplifying
(2y + 1)(7 + -1y) = 0

Reorder the terms:
(1 + 2y)(7 + -1y) = 0

Multiply (1 + 2y) * (7 + -1y)
(1(7 + -1y) + 2y * (7 + -1y)) = 0
((7 * 1 + -1y * 1) + 2y * (7 + -1y)) = 0
((7 + -1y) + 2y * (7 + -1y)) = 0
(7 + -1y + (7 * 2y + -1y * 2y)) = 0
(7 + -1y + (14y + -2y2)) = 0

Combine like terms: -1y + 14y = 13y
(7 + 13y + -2y2) = 0

Solving
7 + 13y + -2y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -1y)(1 + 2y) = 0

Subproblem 1

Set the factor '(7 + -1y)' equal to zero and attempt to solve: Simplifying 7 + -1y = 0 Solving 7 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 0 + -7 -1y = 0 + -7 Combine like terms: 0 + -7 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7

Subproblem 2

Set the factor '(1 + 2y)' equal to zero and attempt to solve: Simplifying 1 + 2y = 0 Solving 1 + 2y = 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 + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 0 + -1 2y = 0 + -1 Combine like terms: 0 + -1 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5

Solution

y = {7, -0.5}

See similar equations:

| 705x+209y=1 | | 10X=135/12 | | k+5=8 | | 2x-2+5=13i | | 0=-4000x-36000 | | 0=-5000x+25000 | | f(x)=8-3x^2 | | Y-7(-1)=0 | | y-7(-2)=0 | | 20y=200-100x | | -x-7x=0 | | 0-7x=0 | | 3m+7=2m-4 | | 0-8x=0 | | 5x+2+2x-9=180 | | y-8(1)=0 | | y-8(3)=0 | | 3-8x=0 | | 2-8x=0 | | .50x+.50(70)=.25(54) | | 2(x+6)+3=2x+9 | | -70x+.85(70)=.35(108) | | (x-1)^2/3=2 | | .60x+.30(140)=.30(90) | | 29y+7y^2=30 | | .60+.30(140)=.30(90) | | 3/8x-4=1/8x-5 | | 1/2y^2-1/2y-55=0 | | 9(x+3)-9=18 | | 1/2y^2-1/2-55=0 | | 70-49m+7m^2=0 | | 10x+1-6+45=180 |

Equations solver categories