(4y-5)(7-y)=0

Simple and best practice solution for (4y-5)(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 (4y-5)(7-y)=0 equation: 


Simplifying
(4y + -5)(7 + -1y) = 0

Reorder the terms:
(-5 + 4y)(7 + -1y) = 0

Multiply (-5 + 4y) * (7 + -1y)
(-5(7 + -1y) + 4y * (7 + -1y)) = 0
((7 * -5 + -1y * -5) + 4y * (7 + -1y)) = 0
((-35 + 5y) + 4y * (7 + -1y)) = 0
(-35 + 5y + (7 * 4y + -1y * 4y)) = 0
(-35 + 5y + (28y + -4y2)) = 0

Combine like terms: 5y + 28y = 33y
(-35 + 33y + -4y2) = 0

Solving
-35 + 33y + -4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + y)(5 + -4y) = 0


Subproblem 1
Set the factor '(-7 + y)' equal to zero and attempt to solve:

Simplifying
-7 + y = 0

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

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

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

Simplifying
y = 7

Subproblem 2
Set the factor '(5 + -4y)' equal to zero and attempt to solve:

Simplifying
5 + -4y = 0

Solving
5 + -4y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y = 0 + -5
-4y = 0 + -5

Combine like terms: 0 + -5 = -5
-4y = -5

Divide each side by '-4'.
y = 1.25

Simplifying
y = 1.25
Solution
y = {7, 1.25}

See similar equations:

| (Y-5)/4=1-(y/5) | | 2(5s+4)-4s=2(3s+3)-11 | | 5/12x6/10 | | 3c^2+18c+5= | | 3(2x-4)+6(x-2)=4(3x-8) | | 0.7p-0.4=3.53-0.28p | | 2[4(2x+3)-3(x+3)]=10x+6 | | 12(3x-1)=8(3x+1)+64 | | 5b+2=-3(b-1) | | x^2+140x+4900=0 | | 2w+18=-48 | | 60x+95y=23705 | | x-3y-z=4 | | 2/3t-1/6t=t-17/2 | | 3(-3x+8)+15=-6x+51 | | 25/0.40 | | 28/24=83/24 | | 4x-4=2x-16 | | 3x+5+5x=86 | | 9x=60-6x | | 4=5(3/7)-4 | | -2x+8=2x+12 | | 5.25/5 | | 6x-(2x+9)=6x-35 | | 2=-4(6/4)-10 | | -2=2(5/2)-7 | | 6x-72=(-11+2x)-4 | | 5-×/6=8-× | | X-6/3= | | ln(ln5/ln3) | | 0.06X+0.04(10.000-X)=520 | | (2u-1)(5u+6)=(u-2)(u+3) |

Equations solver categories