64z^2-80z=-25

Simple and best practice solution for 64z^2-80z=-25 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 64z^2-80z=-25 equation:


Simplifying
64z2 + -80z = -25

Reorder the terms:
-80z + 64z2 = -25

Solving
-80z + 64z2 = -25

Solving for variable 'z'.

Reorder the terms:
25 + -80z + 64z2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + -80z + 64z2 = 0

Factor a trinomial.
(5 + -8z)(5 + -8z) = 0

Subproblem 1

Set the factor '(5 + -8z)' equal to zero and attempt to solve: Simplifying 5 + -8z = 0 Solving 5 + -8z = 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 + -8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 0 + -5 -8z = 0 + -5 Combine like terms: 0 + -5 = -5 -8z = -5 Divide each side by '-8'. z = 0.625 Simplifying z = 0.625

Subproblem 2

Set the factor '(5 + -8z)' equal to zero and attempt to solve: Simplifying 5 + -8z = 0 Solving 5 + -8z = 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 + -8z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8z = 0 + -5 -8z = 0 + -5 Combine like terms: 0 + -5 = -5 -8z = -5 Divide each side by '-8'. z = 0.625 Simplifying z = 0.625

Solution

z = {0.625, 0.625}

See similar equations:

| 4+2x+3=19 | | -[9z-(20z+7)]=7+(10z+5) | | 5a+4=19 | | (x-2)(5x+4)=0 | | 3(4k-6)-3(3k+2)=2-2(k+2) | | -32x+20=-32x-26 | | 6x+20=-8 | | x^2+15=49 | | 2y-8=-14 | | 12x^2+8x=0 | | 3n^2+20n+5= | | -8(k+1)-k-11=-9(k+3)+8 | | 3m-2/5=7/10 | | 4x+3=5x+1 | | 2+-5=13 | | -14.896=1y | | x^2+1.5*x-1=0 | | c+1/8=c/4 | | 5r^2-14r-3=0 | | 6(x-7)-4(x+6)=-1 | | (3x-1)x(x-5)= | | a-49=-60 | | 10x^2+31x+3= | | 5x+4=21 | | 5a+24=2a+15 | | -3(y-8)=3y-36 | | 7(v-1)-3v=2(2v+3)-15 | | 5(r-5)=-5(r-5) | | -17=5x-2 | | 2-3(x+1)=2 | | 4x-8+3x=34 | | -2=-x-4 |

Equations solver categories