4z(z+1)(z-7)=0

Simple and best practice solution for 4z(z+1)(z-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 4z(z+1)(z-7)=0 equation: 


Simplifying
4z(z + 1)(z + -7) = 0

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

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

Multiply (1 + z) * (-7 + z)
4z(1(-7 + z) + z(-7 + z)) = 0
4z((-7 * 1 + z * 1) + z(-7 + z)) = 0
4z((-7 + 1z) + z(-7 + z)) = 0
4z(-7 + 1z + (-7 * z + z * z)) = 0
4z(-7 + 1z + (-7z + z2)) = 0

Combine like terms: 1z + -7z = -6z
4z(-7 + -6z + z2) = 0
(-7 * 4z + -6z * 4z + z2 * 4z) = 0
(-28z + -24z2 + 4z3) = 0

Solving
-28z + -24z2 + 4z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '4z'.
4z(-7 + -6z + z2) = 0

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

Ignore the factor 4.

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 '(-1 + -1z)' equal to zero and attempt to solve:

Simplifying
-1 + -1z = 0

Solving
-1 + -1z = 0

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

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

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

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

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

Simplifying
z = -1

Subproblem 3
Set the factor '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1z = 0 + -7

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

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

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

Simplifying
z = 7
Solution
z = {0, -1, 7}

See similar equations:

| x(x+8)=240 | | 52n=4 | | y=-8+7*-3 | | 0=24x^2-4369 | | xy-5y-7x+35= | | x^2+12x+37=0 | | 9xa=54 | | -188+15x=3x+76 | | -5=5 | | -11v-5-5v=-12v | | 5(x-4)=6-2(x+3) | | 3x^2+26=4x^2+11x | | 0=24x^2-4367 | | 520+2x=760+1x | | 3x^2+26=4x^2+11 | | 4(x+3)=3(x-2) | | -18n=26 | | (x+6)(x+6)=23 | | -24-.125=.375 | | 1000=-X^2+90X-150 | | 0.5X-0.4(80+X)=-0.35(80) | | 1000000=-X^2+90X-150 | | x-6x-7=0 | | 5+I=13 | | 2=15-h | | 3(x+5)=x | | 16x=12x+240 | | 3x+2=y-x | | x+8=y | | 7*-1-y=-8 | | x^2+14x= | | 3(y+6)-4=42 |

Equations solver categories