-3z(z-7)(z+2)=0

Simple and best practice solution for -3z(z-7)(z+2)=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 -3z(z-7)(z+2)=0 equation: 


Simplifying
-3z(z + -7)(z + 2) = 0

Reorder the terms:
-3z(-7 + z)(z + 2) = 0

Reorder the terms:
-3z(-7 + z)(2 + z) = 0

Multiply (-7 + z) * (2 + z)
-3z(-7(2 + z) + z(2 + z)) = 0
-3z((2 * -7 + z * -7) + z(2 + z)) = 0
-3z((-14 + -7z) + z(2 + z)) = 0
-3z(-14 + -7z + (2 * z + z * z)) = 0
-3z(-14 + -7z + (2z + z2)) = 0

Combine like terms: -7z + 2z = -5z
-3z(-14 + -5z + z2) = 0
(-14 * -3z + -5z * -3z + z2 * -3z) = 0
(42z + 15z2 + -3z3) = 0

Solving
42z + 15z2 + -3z3 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z'.
3z(14 + 5z + -1z2) = 0

Factor a trinomial.
3z((7 + -1z)(2 + z)) = 0

Ignore the factor 3.

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 '(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

Subproblem 3
Set the factor '(2 + z)' equal to zero and attempt to solve:

Simplifying
2 + z = 0

Solving
2 + z = 0

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

Add '-2' to each side of the equation.
2 + -2 + z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + z = 0 + -2
z = 0 + -2

Combine like terms: 0 + -2 = -2
z = -2

Simplifying
z = -2
Solution
z = {0, 7, -2}

See similar equations:

| 3n^2-3n-18n= | | 6x+15=68 | | 2(10.5)+2w=34 | | (d-4/4)^2=81 | | (5+u)(5u+1)=0 | | 4x^2=3+6x | | 40+30Ln=(2x+3) | | 628-124= | | 2p^2+8p+6= | | 3a+13= | | 6-2y=3y-2 | | 4xy-7=37 | | -12b^5+8b^4= | | 8x+32y+y^2=-263-x^2 | | X-7/3=25 | | (9/y)-(9/(y-10))-10=0 | | -16t^2+vt+225=0 | | (9/x)+x=6 | | 8x^2-44x+48=0 | | -7/8x=42 | | Y/-1.4=-5 | | -7(3x-5)+x(6x-10)=0 | | 6x-6x^2=0 | | -7(3x-5)+x(6x-10)=y | | 32=x/2 | | 4x^2-3x-3=y | | x^2-2x=-9 | | 6x^2+39x+18=0 | | 2x=-7x-29 | | 3a+6=-9 | | 16*2-4= | | 4x^2+17=90y |

Equations solver categories