7y(4y+9)=8(11y+1)

Simple and best practice solution for 7y(4y+9)=8(11y+1) 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 7y(4y+9)=8(11y+1) equation: 


Simplifying
7y(4y + 9) = 8(11y + 1)

Reorder the terms:
7y(9 + 4y) = 8(11y + 1)
(9 * 7y + 4y * 7y) = 8(11y + 1)
(63y + 28y2) = 8(11y + 1)

Reorder the terms:
63y + 28y2 = 8(1 + 11y)
63y + 28y2 = (1 * 8 + 11y * 8)
63y + 28y2 = (8 + 88y)

Solving
63y + 28y2 = 8 + 88y

Solving for variable 'y'.

Reorder the terms:
-8 + 63y + -88y + 28y2 = 8 + 88y + -8 + -88y

Combine like terms: 63y + -88y = -25y
-8 + -25y + 28y2 = 8 + 88y + -8 + -88y

Reorder the terms:
-8 + -25y + 28y2 = 8 + -8 + 88y + -88y

Combine like terms: 8 + -8 = 0
-8 + -25y + 28y2 = 0 + 88y + -88y
-8 + -25y + 28y2 = 88y + -88y

Combine like terms: 88y + -88y = 0
-8 + -25y + 28y2 = 0

Factor a trinomial.
(-1 + -4y)(8 + -7y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -7y)' equal to zero and attempt to solve:

Simplifying
8 + -7y = 0

Solving
8 + -7y = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7y = 0 + -8
-7y = 0 + -8

Combine like terms: 0 + -8 = -8
-7y = -8

Divide each side by '-7'.
y = 1.142857143

Simplifying
y = 1.142857143
Solution
y = {-0.25, 1.142857143}

See similar equations:

| 2x^2-x-55=0 | | 2x^2-20=78 | | 10x-4=44 | | 1.5t=30 | | 11x^3+x^2-76x+60=0 | | c+6=10 | | 8k+70=7k+10 | | 2x+2y-26=0 | | 2k^2-11k+5=0 | | 14(2x+4)=5x+1 | | 2a+6=-a+-8 | | 7y+9=15 | | -3(x+2)=8(-3-8) | | 64x^2-128x+55=0 | | (4d+3)(d-6)= | | 3(6m-4)+10=70 | | ln(x^2)=ln(5)+ln(8)-ln(10) | | 5x+3y=-1 | | 13-7x=158-42x | | -16x^2+4x=0 | | y=3-x | | 4q-5=4 | | -7x+6+2x=14+x*9 | | 1/4=2w+8/16 | | 4x+y=-5 | | 3d-8=3 | | 7(4x-2)=70 | | 3a+6=9 | | 2c-16/4=7 | | 2a-3=4 | | -5t-6=34 | | -2(3n+4)=2 |

Equations solver categories