(4z-5)(5z-1)=0

Simple and best practice solution for (4z-5)(5z-1)=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-5)(5z-1)=0 equation:


Simplifying
(4z + -5)(5z + -1) = 0

Reorder the terms:
(-5 + 4z)(5z + -1) = 0

Reorder the terms:
(-5 + 4z)(-1 + 5z) = 0

Multiply (-5 + 4z) * (-1 + 5z)
(-5(-1 + 5z) + 4z * (-1 + 5z)) = 0
((-1 * -5 + 5z * -5) + 4z * (-1 + 5z)) = 0
((5 + -25z) + 4z * (-1 + 5z)) = 0
(5 + -25z + (-1 * 4z + 5z * 4z)) = 0
(5 + -25z + (-4z + 20z2)) = 0

Combine like terms: -25z + -4z = -29z
(5 + -29z + 20z2) = 0

Solving
5 + -29z + 20z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(1 + -5z)(5 + -4z) = 0

Subproblem 1

Set the factor '(1 + -5z)' equal to zero and attempt to solve: Simplifying 1 + -5z = 0 Solving 1 + -5z = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5z = 0 + -1 -5z = 0 + -1 Combine like terms: 0 + -1 = -1 -5z = -1 Divide each side by '-5'. z = 0.2 Simplifying z = 0.2

Subproblem 2

Set the factor '(5 + -4z)' equal to zero and attempt to solve: Simplifying 5 + -4z = 0 Solving 5 + -4z = 0 Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = 0 + -5 -4z = 0 + -5 Combine like terms: 0 + -5 = -5 -4z = -5 Divide each side by '-4'. z = 1.25 Simplifying z = 1.25

Solution

z = {0.2, 1.25}

See similar equations:

| 4(x+5)=80 | | 5(x+5)=x-11 | | 2w^2-16w+32=0 | | b^2+25=10b | | 5(x+5)=11x | | 6y^2=6y+252 | | 49=(pi)x^2-25(pi) | | 3-10=2b-9 | | 49=pix^2-25pi | | 3-10b=2n-9 | | 4+16n-2=4n+128-2n | | -5(3x+3)=-14 | | a=4b-3c | | 2(3x-4)+9=5x+2 | | 7r+3=31r+11 | | x-7*2=32 | | 9(2x-7)=19x | | 35*55= | | 6r*r=294 | | 55*19= | | 9k^3-15k^2-3k+5= | | 2t+12-3t=60 | | b^2+3b=28 | | 11y+5-9y=3y-14 | | 6r+r+6r+r=294 | | 2/3-1/3(2x-3/5)= | | 3r^2+27=18r | | 3x+7x=4 | | 4t^2+196=56t | | 5a^2+55ab+150b^2= | | 6y-7y=100-105 | | x^480=0 |

Equations solver categories