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

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


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

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

Multiply (2 + z) * (-7 + 3z)
(2(-7 + 3z) + z(-7 + 3z)) = 0
((-7 * 2 + 3z * 2) + z(-7 + 3z)) = 0
((-14 + 6z) + z(-7 + 3z)) = 0
(-14 + 6z + (-7 * z + 3z * z)) = 0
(-14 + 6z + (-7z + 3z2)) = 0

Combine like terms: 6z + -7z = -1z
(-14 + -1z + 3z2) = 0

Solving
-14 + -1z + 3z2 = 0

Solving for variable 'z'.

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


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

Simplifying
-2 + -1z = 0

Solving
-2 + -1z = 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 + -1z = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1z = 0 + 2
-1z = 0 + 2

Combine like terms: 0 + 2 = 2
-1z = 2

Divide each side by '-1'.
z = -2

Simplifying
z = -2

Subproblem 2
Set the factor '(7 + -3z)' equal to zero and attempt to solve:

Simplifying
7 + -3z = 0

Solving
7 + -3z = 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 + -3z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3z = 0 + -7
-3z = 0 + -7

Combine like terms: 0 + -7 = -7
-3z = -7

Divide each side by '-3'.
z = 2.333333333

Simplifying
z = 2.333333333
Solution
z = {-2, 2.333333333}

See similar equations:

| -16-4=4r | | 2(3x+3)+86=10x+3-4x+89 | | -16-8s=-16 | | ln(2x)=7.6 | | 15v-4d=23-8v | | 3+p/2=7 | | x^2+y^2+5x+5y-50=0 | | 3a+7a=5a-7 | | x^2-20x-10= | | 5(8x+5)=-175 | | 24=-12y+36 | | -32+4t-10t+13=11 | | 0=6c^2+5c-6 | | 6s-54=-12 | | (4/x)+(3/7x^2)=0 | | (4/x)+(3/7x^2) | | -36=6w+30 | | 5-(6x+3)=14-8x | | -16t^2+25t+3=0 | | 4b^2-4b+1=0 | | 9u-54=45 | | 5+(y/8)=-3 | | 9x-(7x-5)=21 | | 3(t-3)+5(t+3)=32 | | 28-7a=-49 | | h(t)=-16t^2+32t+300 | | 2.5(7x+3)+4+5=2.5(7x+3)+4+5 | | 49=-(4x-17) | | -x^2-0.5x+7.5=0 | | -21+3b=-24 | | -8n-4=-2+n-6-8 | | x+3-x-2= |

Equations solver categories