3z^2+2z-8=(4z+1)(z-8)

Simple and best practice solution for 3z^2+2z-8=(4z+1)(z-8) 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 3z^2+2z-8=(4z+1)(z-8) equation: 


Simplifying
3z2 + 2z + -8 = (4z + 1)(z + -8)

Reorder the terms:
-8 + 2z + 3z2 = (4z + 1)(z + -8)

Reorder the terms:
-8 + 2z + 3z2 = (1 + 4z)(z + -8)

Reorder the terms:
-8 + 2z + 3z2 = (1 + 4z)(-8 + z)

Multiply (1 + 4z) * (-8 + z)
-8 + 2z + 3z2 = (1(-8 + z) + 4z * (-8 + z))
-8 + 2z + 3z2 = ((-8 * 1 + z * 1) + 4z * (-8 + z))
-8 + 2z + 3z2 = ((-8 + 1z) + 4z * (-8 + z))
-8 + 2z + 3z2 = (-8 + 1z + (-8 * 4z + z * 4z))
-8 + 2z + 3z2 = (-8 + 1z + (-32z + 4z2))

Combine like terms: 1z + -32z = -31z
-8 + 2z + 3z2 = (-8 + -31z + 4z2)

Add '8' to each side of the equation.
-8 + 2z + 8 + 3z2 = -8 + -31z + 8 + 4z2

Reorder the terms:
-8 + 8 + 2z + 3z2 = -8 + -31z + 8 + 4z2

Combine like terms: -8 + 8 = 0
0 + 2z + 3z2 = -8 + -31z + 8 + 4z2
2z + 3z2 = -8 + -31z + 8 + 4z2

Reorder the terms:
2z + 3z2 = -8 + 8 + -31z + 4z2

Combine like terms: -8 + 8 = 0
2z + 3z2 = 0 + -31z + 4z2
2z + 3z2 = -31z + 4z2

Solving
2z + 3z2 = -31z + 4z2

Solving for variable 'z'.

Reorder the terms:
2z + 31z + 3z2 + -4z2 = -31z + 4z2 + 31z + -4z2

Combine like terms: 2z + 31z = 33z
33z + 3z2 + -4z2 = -31z + 4z2 + 31z + -4z2

Combine like terms: 3z2 + -4z2 = -1z2
33z + -1z2 = -31z + 4z2 + 31z + -4z2

Reorder the terms:
33z + -1z2 = -31z + 31z + 4z2 + -4z2

Combine like terms: -31z + 31z = 0
33z + -1z2 = 0 + 4z2 + -4z2
33z + -1z2 = 4z2 + -4z2

Combine like terms: 4z2 + -4z2 = 0
33z + -1z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(33 + -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 '(33 + -1z)' equal to zero and attempt to solve:

Simplifying
33 + -1z = 0

Solving
33 + -1z = 0

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

Add '-33' to each side of the equation.
33 + -33 + -1z = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -1z = 0 + -33
-1z = 0 + -33

Combine like terms: 0 + -33 = -33
-1z = -33

Divide each side by '-1'.
z = 33

Simplifying
z = 33
Solution
z = {0, 33}

See similar equations:

| 9v(7v+5)= | | (9t^2-t-4)(8t^2+9t-1)= | | 5p^2=-29p-20 | | x/2-5=-11 | | 9p+5=8+8p | | -3x+7=1 | | m^10+18m^5+17=0 | | x(x+8)=84 | | 15j-10+8j=11 | | P+30.34=-30.34 | | 2x-5y+20= | | 8x+7-9x+5=4x-5x+9 | | A+3.52=8.6 | | 2p^2+12p-12= | | t^8+5t^4-24=0 | | (5x-2)(x^2-4x+3)= | | 3u+10=6+10 | | 8x+7-9x+5= | | 3x+16=7x+8 | | 128t-16t^2=10 | | V+.84=6 | | -2z-8=2z-16 | | 0+6(-1/6)=-1 | | 15=5/2h | | A=KS | | 75=15/2h | | 950+700+5x=600+400+7x | | 1/2r+1/4g | | 23/467/8 | | 3(7u+6)= | | T^2-12b-64=0 | | d-45+m+65= |

Equations solver categories