4z - 15 = 4z + 11
What does Z=

implifying

4z + -15 = 4z + 11

Reorder the terms:

-15 + 4z = 4z + 11

Reorder the terms:

-15 + 4z = 11 + 4z

Add '-4z' to each side of the equation.

-15 + 4z + -4z = 11 + 4z + -4z

Combine like terms: 4z + -4z = 0

-15 + 0 = 11 + 4z + -4z

-15 = 11 + 4z + -4z

Combine like terms: 4z + -4z = 0

-15 = 11 + 0

-15 = 11

Solving

-15 = 11

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0