4z^2-15z+14=

Simple and best practice solution for 4z^2-15z+14= 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^2-15z+14= equation:


Simplifying
4z2 + -15z + 14 = 0

Reorder the terms:
14 + -15z + 4z2 = 0

Solving
14 + -15z + 4z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(7 + -4z)(2 + -1z) = 0

Subproblem 1

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

Subproblem 2

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

Solution

z = {1.75, 2}

See similar equations:

| 12w^2+1w-1=0 | | 3v-1=4v | | 5(w+15)+12=15w+23 | | -4-3k=7x-6 | | 0=t^2-8t+8 | | -9x+8=-12x+3x-8 | | log[9](5x+7)=3 | | 0.83+3j=-0.66 | | 6w-4=6w+6 | | gy=-2x+5 | | 6w-4=6w+4 | | 7-(2-z)=z-4 | | 6-5c=29+2c | | 0.5b+2.25=1.75 | | 8m+10-7=7m+8 | | 3(1x-4)=3x-12 | | 5x+7=2x+54 | | X-11.33=9.43 | | 3x+11=17+5x | | (-30)-(-10)-43= | | 2n-5=3n+7 | | -11j-(2-8j)=-14 | | 7w-36=-5w | | 19+X=15 | | 7-(2-2)=z-4 | | -35-2g=5+8g | | 2x+17-1.2x=10-0.2x+11 | | 9y-9x=27 | | 2x+125+38=163 | | X-20.52=-2.09 | | 8+-x=2x+-1 | | 17-7=-3y+6y |

Equations solver categories