(2y+4)(3y-7)=

Simple and best practice solution for (2y+4)(3y-7)= 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+4)(3y-7)= equation: 


Simplifying
(2y + 4)(3y + -7) = 0

Reorder the terms:
(4 + 2y)(3y + -7) = 0

Reorder the terms:
(4 + 2y)(-7 + 3y) = 0

Multiply (4 + 2y) * (-7 + 3y)
(4(-7 + 3y) + 2y * (-7 + 3y)) = 0
((-7 * 4 + 3y * 4) + 2y * (-7 + 3y)) = 0
((-28 + 12y) + 2y * (-7 + 3y)) = 0
(-28 + 12y + (-7 * 2y + 3y * 2y)) = 0
(-28 + 12y + (-14y + 6y2)) = 0

Combine like terms: 12y + -14y = -2y
(-28 + -2y + 6y2) = 0

Solving
-28 + -2y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -1y + 3y2) = 0

Factor a trinomial.
2((-2 + -1y)(7 + -3y)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 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 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333
Solution
y = {-2, 2.333333333}

See similar equations:

| 4(x+12)=20 | | 2x(5x-7)+5(5x-7)= | | 2(4)=x | | 40/2-8=j | | m^2(2m^2+m-6)= | | (4x)(-2x)(10x)= | | 12-4=x | | 0.333333333x^3+2.666666666666X^2-5.3333333333333X=0 | | 10+15-x=17 | | x^2-6x+4x-24=0 | | 24x+48=0 | | c/2-5=c/4 | | 2m*6=m-3 | | 3(2t-8)=4(7+t) | | y+2x+4=0 | | 5(3-x)=3(5-x) | | 3b+(5-7b)= | | 3Q^2+5=t | | T=3Q^2+5 | | TC(Q)=3Q^2+5 | | 7x+11x=180 | | 7x-11x=180 | | 3y+2x=13 | | 4d-16=-36 | | 3+4d=9 | | 5(x+1)=-12 | | 8m+6=4 | | 49x^2+90x-4000=0 | | 49x^2+90x+4000=0 | | .5*.5*.5*.5*.5*.5*.5*.5*.5= | | x(x+2)=44 | | 25220+0.5a=10950 |

Equations solver categories