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

Simple and best practice solution for (2-z)(4z+9)=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)(4z+9)=0 equation:


Simplifying
(2 + -1z)(4z + 9) = 0

Reorder the terms:
(2 + -1z)(9 + 4z) = 0

Multiply (2 + -1z) * (9 + 4z)
(2(9 + 4z) + -1z * (9 + 4z)) = 0
((9 * 2 + 4z * 2) + -1z * (9 + 4z)) = 0
((18 + 8z) + -1z * (9 + 4z)) = 0
(18 + 8z + (9 * -1z + 4z * -1z)) = 0
(18 + 8z + (-9z + -4z2)) = 0

Combine like terms: 8z + -9z = -1z
(18 + -1z + -4z2) = 0

Solving
18 + -1z + -4z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(2 + -1z)(9 + 4z) = 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 '(9 + 4z)' equal to zero and attempt to solve: Simplifying 9 + 4z = 0 Solving 9 + 4z = 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 + 4z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4z = 0 + -9 4z = 0 + -9 Combine like terms: 0 + -9 = -9 4z = -9 Divide each side by '4'. z = -2.25 Simplifying z = -2.25

Solution

z = {2, -2.25}

See similar equations:

| k^2-20k+32=0 | | 1+3/x+1=x/x-1 | | 84m=6l+2w | | x/4+8=19 | | 2x^2+13x+13=0 | | (3x-2)/21=0 | | n-5/n-4=0 | | x^3+27y^3=0 | | 2q^2-q+14=0 | | 4(4+4k)=-10-16k | | n-5/n=4 | | 5x-6=36x | | 4a^4-17a+4=0 | | 48y^3+52y^2-16y=0 | | 4(4+4k)= | | 4x+7/3=3x-2/2 | | 4x^2+20=3x^2+10x-4 | | -x^2-5x=5 | | 0=n^2+3n-18 | | 0=n^2+24n+144 | | 2y-5x=4 | | 7(x+3)=5(x+8) | | 11x=12x+1 | | 3r+6=31r+13 | | 35-4x=2 | | y-4=2x | | a+3-3*1+2-4+1*0=0 | | 5-2(x-3)=15 | | -3/4=5/3v-7/2 | | 2w+11w-63=0 | | 2w+11w=63 | | (2/3m-1)(1/2m-2) |

Equations solver categories