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

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


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

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

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

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

Combine like terms: -4y + -7y = -11y
(28 + -11y + y2) = 0

Solving
28 + -11y + y2 = 0

Solving for variable 'y'.

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


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

Simplifying
4 + -1y = 0

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

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

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

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

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {4, 7}

See similar equations:

| (x-8)(x-9)=0 | | 116-5x=3x+20 | | 69-3x=6x+16 | | -x^2=4x | | y^2-11y+30=0 | | 6(x+2)-(6x+12)=0 | | 6x+32=16x-68 | | x+4+4x=0 | | (y-9)-(y+4)=4y | | -3*(b-8)-5=9(b+2)+1 | | (-9+y)(4+y)=4y | | 11-7x=33-21x | | 8x+8=6x+10 | | 2x^4-16x=0 | | 0.6x-4.5=-1.5 | | 137-4x=6x+17 | | -4y+8=-4(2y+6) | | 4+3x-6=3 | | 3(x-1)-15=0 | | -b=48 | | -11-5x=14-10 | | 6x+4-2x=24 | | 11x-187=4x-5 | | 66-6x=21x+18 | | -4.5*7.2=-32.4 | | -4.5q=32.4 | | 67-3x=2x+12 | | p-(-1)=(-7)2 | | x^4=2x^3+24x^2 | | 12r+5+3-5= | | (x+8)(x-1)=(2x+9)(x-1) | | 10x^3=40x |

Equations solver categories