(2y+7)(7-2y)+6y=49+7y

Simple and best practice solution for (2y+7)(7-2y)+6y=49+7y 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+7)(7-2y)+6y=49+7y equation: 


Simplifying
(2y + 7)(7 + -2y) + 6y = 49 + 7y

Reorder the terms:
(7 + 2y)(7 + -2y) + 6y = 49 + 7y

Multiply (7 + 2y) * (7 + -2y)
(7(7 + -2y) + 2y * (7 + -2y)) + 6y = 49 + 7y
((7 * 7 + -2y * 7) + 2y * (7 + -2y)) + 6y = 49 + 7y
((49 + -14y) + 2y * (7 + -2y)) + 6y = 49 + 7y
(49 + -14y + (7 * 2y + -2y * 2y)) + 6y = 49 + 7y
(49 + -14y + (14y + -4y2)) + 6y = 49 + 7y

Combine like terms: -14y + 14y = 0
(49 + 0 + -4y2) + 6y = 49 + 7y
(49 + -4y2) + 6y = 49 + 7y

Reorder the terms:
49 + 6y + -4y2 = 49 + 7y

Add '-49' to each side of the equation.
49 + 6y + -49 + -4y2 = 49 + -49 + 7y

Reorder the terms:
49 + -49 + 6y + -4y2 = 49 + -49 + 7y

Combine like terms: 49 + -49 = 0
0 + 6y + -4y2 = 49 + -49 + 7y
6y + -4y2 = 49 + -49 + 7y

Combine like terms: 49 + -49 = 0
6y + -4y2 = 0 + 7y
6y + -4y2 = 7y

Solving
6y + -4y2 = 7y

Solving for variable 'y'.

Reorder the terms:
6y + -7y + -4y2 = 7y + -7y

Combine like terms: 6y + -7y = -1y
-1y + -4y2 = 7y + -7y

Combine like terms: 7y + -7y = 0
-1y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(1 + 4y) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(1 + 4y)' equal to zero and attempt to solve:

Simplifying
1 + 4y = 0

Solving
1 + 4y = 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 + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y = 0 + -1
4y = 0 + -1

Combine like terms: 0 + -1 = -1
4y = -1

Divide each side by '4'.
y = -0.25

Simplifying
y = -0.25
Solution
y = {0, -0.25}

See similar equations:

| x^2-kx+k^2-2=0 | | 5x-15x+5x= | | 2x-7x+4x= | | 10y^2+11y+3=0 | | 216z^3-125a^3=0 | | 4x(x+3)-(x+3)2= | | y=x^2-24x+c | | 17=-19p | | x+74=34-2x | | 5j+j-2j= | | x^2-4x+2m+6=0 | | p^2+35p+216=0 | | 2/9z=20 | | (3x+1)/2=7 | | -1/7x=-2 | | -1/5x=0 | | -1/8x=7 | | -4a/15=44 | | 2x/9=5/3 | | x-2*3-3=1 | | 4/5e=-24 | | -2/7c=-6 | | -1/4a=12 | | 4/5k=28 | | 3/5z=18 | | 2.6-0.8q=0 | | -1/4x=-7 | | x-2/3-3=1 | | -1/2x=15 | | 185/310 | | 1/7x=-1 | | 6(2x+1)-5=31 |

Equations solver categories