(4z-u)(3z+3u)=

Simple and best practice solution for (4z-u)(3z+3u)= 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 (4z-u)(3z+3u)= equation: 


Simplifying
(4z + -1u)(3z + 3u) = 0

Reorder the terms:
(-1u + 4z)(3z + 3u) = 0

Reorder the terms:
(-1u + 4z)(3u + 3z) = 0

Multiply (-1u + 4z) * (3u + 3z)
(-1u * (3u + 3z) + 4z * (3u + 3z)) = 0
((3u * -1u + 3z * -1u) + 4z * (3u + 3z)) = 0

Reorder the terms:
((-3uz + -3u2) + 4z * (3u + 3z)) = 0
((-3uz + -3u2) + 4z * (3u + 3z)) = 0
(-3uz + -3u2 + (3u * 4z + 3z * 4z)) = 0
(-3uz + -3u2 + (12uz + 12z2)) = 0

Reorder the terms:
(-3uz + 12uz + -3u2 + 12z2) = 0

Combine like terms: -3uz + 12uz = 9uz
(9uz + -3u2 + 12z2) = 0

Solving
9uz + -3u2 + 12z2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(3uz + -1u2 + 4z2) = 0

Factor a trinomial.
3((-1u + -1z)(u + -4z)) = 0

Ignore the factor 3.

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

Simplifying
-1u + -1z = 0

Solving
-1u + -1z = 0

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

Add 'z' to each side of the equation.
-1u + -1z + z = 0 + z

Combine like terms: -1z + z = 0
-1u + 0 = 0 + z
-1u = 0 + z
Remove the zero:
-1u = z

Divide each side by '-1'.
u = -1z

Simplifying
u = -1z

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

Simplifying
u + -4z = 0

Solving
u + -4z = 0

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

Add '4z' to each side of the equation.
u + -4z + 4z = 0 + 4z

Combine like terms: -4z + 4z = 0
u + 0 = 0 + 4z
u = 0 + 4z
Remove the zero:
u = 4z

Simplifying
u = 4z
Solution
u = {-1z, 4z}

See similar equations:

| 2g*6g= | | x^2+38x+195=0 | | (2x+5)(5y-3)= | | 14x^2+30x+4= | | -4=5(-6x) | | 12=-6(x-1) | | 3x^2+5x=m | | (2x+5)(2x+5)= | | 4x^4+40x^3+96x^2= | | 12x(2x)= | | (4t-3)(4t+3)= | | 8x+6+3x=4x+2+8x | | (x+3)(x+4)-(x+5)(x+1)=0 | | 13n+9=61 | | (5x+7)(2x-1)= | | 8x+6+3x=4x+2 | | (r+10)(r-8)= | | 5x+2=7x | | (2x+3)(2x-1)-(4x+1)(x-7)=35 | | (x+5)(x+6)= | | 125+4x=7y | | 60=14y-2y | | 3(a-4)=-6 | | 11+1=12y+7-11y | | 9x^2-16x+7= | | -3(4x-4)=11x+2 | | n^2+12n=-45 | | 5x-8-2x=x-2 | | (x^3+x^2+x+1)(14x-9)= | | 8x+4-4-4x+x=0 | | 9a-7=110 | | z^2+3z-4=0 |

Equations solver categories