5z^2+3z-4=(6z+1)(z-4)

Simple and best practice solution for 5z^2+3z-4=(6z+1)(z-4) 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 5z^2+3z-4=(6z+1)(z-4) equation: 


Simplifying
5z2 + 3z + -4 = (6z + 1)(z + -4)

Reorder the terms:
-4 + 3z + 5z2 = (6z + 1)(z + -4)

Reorder the terms:
-4 + 3z + 5z2 = (1 + 6z)(z + -4)

Reorder the terms:
-4 + 3z + 5z2 = (1 + 6z)(-4 + z)

Multiply (1 + 6z) * (-4 + z)
-4 + 3z + 5z2 = (1(-4 + z) + 6z * (-4 + z))
-4 + 3z + 5z2 = ((-4 * 1 + z * 1) + 6z * (-4 + z))
-4 + 3z + 5z2 = ((-4 + 1z) + 6z * (-4 + z))
-4 + 3z + 5z2 = (-4 + 1z + (-4 * 6z + z * 6z))
-4 + 3z + 5z2 = (-4 + 1z + (-24z + 6z2))

Combine like terms: 1z + -24z = -23z
-4 + 3z + 5z2 = (-4 + -23z + 6z2)

Add '4' to each side of the equation.
-4 + 3z + 4 + 5z2 = -4 + -23z + 4 + 6z2

Reorder the terms:
-4 + 4 + 3z + 5z2 = -4 + -23z + 4 + 6z2

Combine like terms: -4 + 4 = 0
0 + 3z + 5z2 = -4 + -23z + 4 + 6z2
3z + 5z2 = -4 + -23z + 4 + 6z2

Reorder the terms:
3z + 5z2 = -4 + 4 + -23z + 6z2

Combine like terms: -4 + 4 = 0
3z + 5z2 = 0 + -23z + 6z2
3z + 5z2 = -23z + 6z2

Solving
3z + 5z2 = -23z + 6z2

Solving for variable 'z'.

Reorder the terms:
3z + 23z + 5z2 + -6z2 = -23z + 6z2 + 23z + -6z2

Combine like terms: 3z + 23z = 26z
26z + 5z2 + -6z2 = -23z + 6z2 + 23z + -6z2

Combine like terms: 5z2 + -6z2 = -1z2
26z + -1z2 = -23z + 6z2 + 23z + -6z2

Reorder the terms:
26z + -1z2 = -23z + 23z + 6z2 + -6z2

Combine like terms: -23z + 23z = 0
26z + -1z2 = 0 + 6z2 + -6z2
26z + -1z2 = 6z2 + -6z2

Combine like terms: 6z2 + -6z2 = 0
26z + -1z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(26 + -1z) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

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

Simplifying
z = 0

Subproblem 2
Set the factor '(26 + -1z)' equal to zero and attempt to solve:

Simplifying
26 + -1z = 0

Solving
26 + -1z = 0

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

Add '-26' to each side of the equation.
26 + -26 + -1z = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -1z = 0 + -26
-1z = 0 + -26

Combine like terms: 0 + -26 = -26
-1z = -26

Divide each side by '-1'.
z = 26

Simplifying
z = 26
Solution
z = {0, 26}

See similar equations:

| -75=7y+2 | | 11p+54=5p | | -3x+y=-2 | | 110-5x=3x+22 | | (p-4)(2p+3)= | | 4t=60+10t | | 32x+32=12x-76 | | 14x-(3x-2)=(5x+2-(x-1)) | | 2(x+3)+18= | | 12(7a)= | | a(a-3)(a+7)=0 | | 6x-5x+4x-7x= | | 16=b*-5+5 | | 7b(b+13)= | | 105-7x=9x+23 | | 3(x-2)-6(x-7)=2 | | t+10=7T-shirt | | 99=-p+100 | | 61-5x=4x+24 | | 14x-(3x-2)=(5x-2-(x-1)) | | y+2=2y-4 | | 11(2a)= | | 10m-6-5(2m-3)=3(m-1) | | 6a+7=-11 | | 5z-6=31 | | 2x+(2x+15)=60 | | -4n-8=6 | | 4.33g-6=20 | | 3d+0.62=-2.87 | | y=-5x^2+20x-13 | | 18x-12-(20x-4)=6x-3-60 | | -4x^2-14x+3=0 |

Equations solver categories