(4z-7)(9+z)=0

Simple and best practice solution for (4z-7)(9+z)=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-7)(9+z)=0 equation: 


Simplifying
(4z + -7)(9 + z) = 0

Reorder the terms:
(-7 + 4z)(9 + z) = 0

Multiply (-7 + 4z) * (9 + z)
(-7(9 + z) + 4z * (9 + z)) = 0
((9 * -7 + z * -7) + 4z * (9 + z)) = 0
((-63 + -7z) + 4z * (9 + z)) = 0
(-63 + -7z + (9 * 4z + z * 4z)) = 0
(-63 + -7z + (36z + 4z2)) = 0

Combine like terms: -7z + 36z = 29z
(-63 + 29z + 4z2) = 0

Solving
-63 + 29z + 4z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(-9 + -1z)(7 + -4z) = 0


Subproblem 1
Set the factor '(-9 + -1z)' equal to zero and attempt to solve:

Simplifying
-9 + -1z = 0

Solving
-9 + -1z = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1z = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = 0 + 9
-1z = 0 + 9

Combine like terms: 0 + 9 = 9
-1z = 9

Divide each side by '-1'.
z = -9

Simplifying
z = -9

Subproblem 2
Set the factor '(7 + -4z)' equal to zero and attempt to solve:

Simplifying
7 + -4z = 0

Solving
7 + -4z = 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 + -4z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4z = 0 + -7
-4z = 0 + -7

Combine like terms: 0 + -7 = -7
-4z = -7

Divide each side by '-4'.
z = 1.75

Simplifying
z = 1.75
Solution
z = {-9, 1.75}

See similar equations:

| 6y-12=3y+32 | | 7x+10=-81 | | 4x-2y+100=0 | | 100=360*x+x | | 5x-(10-3x)-20=58 | | 9/2*h=12 | | h=8*3/2 | | 9/2h=8*3/2 | | 5x-3y+2x-3=0 | | h*9/2=8*3/2 | | 9x/4-4=8x | | 8/h=9/2/3/2 | | f(x)=2x^2-12x-14 | | 3*3/3*h | | 3/2*3*h | | 8-2(3-4e)=5(e+4) | | 14-7x/7 | | 3x+9=10.3x | | x=2+-.25y | | X-8/4=-3 | | 39m=117*6 | | 8i+16=10i-12 | | 18000=(x*0.10)+(x*0.15)+x | | 18000=(x*0.10)+(x*0.15) | | 121*-11= | | 2.4x+4+1.2x=7.5 | | 4(-3)(2)(-1)= | | /2x-5/=x-1 | | 8x+(-7y)+(-4xy)+18x+2xy= | | 3x+(4+5x)= | | 2(2n-4)=2n+6 | | 2x(x-3)-5x=2x+3(1-2x) |

Equations solver categories