(3y-4)(7-y)=0

Simple and best practice solution for (3y-4)(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 (3y-4)(7-y)=0 equation: 


Simplifying
(3y + -4)(7 + -1y) = 0

Reorder the terms:
(-4 + 3y)(7 + -1y) = 0

Multiply (-4 + 3y) * (7 + -1y)
(-4(7 + -1y) + 3y * (7 + -1y)) = 0
((7 * -4 + -1y * -4) + 3y * (7 + -1y)) = 0
((-28 + 4y) + 3y * (7 + -1y)) = 0
(-28 + 4y + (7 * 3y + -1y * 3y)) = 0
(-28 + 4y + (21y + -3y2)) = 0

Combine like terms: 4y + 21y = 25y
(-28 + 25y + -3y2) = 0

Solving
-28 + 25y + -3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-7 + y)(4 + -3y) = 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 '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333
Solution
y = {7, 1.333333333}

See similar equations:

| 100/2+6-8-60+5-82 | | y/8=-30 | | -30x^2+31x+6=0 | | 5/10=0,50+6x | | x=1.333333333+.6666666667y | | -6(0.3x+0.5)-2.8=0.4 | | (4/9)^2 | | 300*3+56-12+46*3-81= | | 6/7h=4 | | 18-2x=-4x+12 | | -10.7x=53.5 | | 50/50*3+15+8*5-4*3 | | -9x+33=-3(x+7) | | -93y+20-9-2y-40=-1 | | -26=-5x+2(x+2) | | 5/9x4/7 | | (12v+3)(-6v-9)=(2v-14)+w | | -3(-m-4)-2(m-3)+5m=6m-(m+3) | | 6+8z-1=9z+26-42 | | x^2-3x^2+8x^2= | | -3(2b+4)+(7b-8)=0 | | 11x+9-4=10x+-4 | | x*x*x+3x-20=0 | | 6x+13=163 | | 80*2/3 | | xcubed+3x-20=0 | | -1/2=-1/3*u-7/5 | | -1/3*u-7/5 | | 9x-45y=135 | | x(8-x)+9x=-6 | | 10n-2(3n-4)=7n-22 | | x(8-x)+9whenx=-6 |

Equations solver categories