4z(z-5)=5z(3+6)

Simple and best practice solution for 4z(z-5)=5z(3+6) 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-5)=5z(3+6) equation:


Simplifying
4z(z + -5) = 5z(3 + 6)

Reorder the terms:
4z(-5 + z) = 5z(3 + 6)
(-5 * 4z + z * 4z) = 5z(3 + 6)
(-20z + 4z2) = 5z(3 + 6)

Combine like terms: 3 + 6 = 9
-20z + 4z2 = 5z(9)

Reorder the terms for easier multiplication:
-20z + 4z2 = 5 * 9z

Multiply 5 * 9
-20z + 4z2 = 45z

Solving
-20z + 4z2 = 45z

Solving for variable 'z'.

Reorder the terms:
-20z + -45z + 4z2 = 45z + -45z

Combine like terms: -20z + -45z = -65z
-65z + 4z2 = 45z + -45z

Combine like terms: 45z + -45z = 0
-65z + 4z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(-65 + 4z) = 0

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 '(-65 + 4z)' equal to zero and attempt to solve: Simplifying -65 + 4z = 0 Solving -65 + 4z = 0 Move all terms containing z to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 4z = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 4z = 0 + 65 4z = 0 + 65 Combine like terms: 0 + 65 = 65 4z = 65 Divide each side by '4'. z = 16.25 Simplifying z = 16.25

Solution

z = {0, 16.25}

See similar equations:

| -1=-7x+5x+5 | | 8x+y=-11 | | 2xy(5x-2y+3z)= | | y-5=-8(x-2) | | 3(1x+4)=-9 | | 42*100= | | 3(2x-3)=-6+9 | | 3(-8-2x)=6 | | y-5=8(x-2) | | 11+3x-4=5x-1+2x | | y-5=8(x+2) | | 7(1x-6)=-119 | | x=192949499949+4646733781928 | | -3(2x-8)=-6x+24 | | 79-4728+7936=x | | 4[3r-2]=4-12r | | 4x-2=-2x+16 | | 17(3*3x+1)+6=1383 | | -(11s+9)=-3(3s+5) | | 3(8x+4)-9(5-10x)= | | -103=6x+7x+1 | | -7(m+6)=2(-3-1)+9m | | 3(8x+4)-9(5-10k)= | | -3+18t=3(8t-19) | | -7x-4+4x=-13 | | 20+x=8-2x | | -5p-4(-7p-11)=16p+9p+6 | | 5[3h-2]=2[h+8] | | 2(6-x)=36 | | (32+3x+(-2y))-(4x-y+(-4))=0 | | 3[m-5]=m-7 | | -3(-7z+1)=18z |

Equations solver categories