I need help with this and explain how to do it please!!
6x - 4z

Simplifying

(6x + -4z)(6x + 4z) = 0

Multiply (6x + -4z) * (6x + 4z)

(6x * (6x + 4z) + -4z * (6x + 4z)) = 0

((6x * 6x + 4z * 6x) + -4z * (6x + 4z)) = 0

Reorder the terms:

((24xz + 36x2) + -4z * (6x + 4z)) = 0

((24xz + 36x2) + -4z * (6x + 4z)) = 0

(24xz + 36x2 + (6x * -4z + 4z * -4z)) = 0

(24xz + 36x2 + (-24xz + -16z2)) = 0

Reorder the terms:

(24xz + -24xz + 36x2 + -16z2) = 0

Combine like terms: 24xz + -24xz = 0

(0 + 36x2 + -16z2) = 0

(36x2 + -16z2) = 0

Solving

36x2 + -16z2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '16z2' to each side of the equation.

36x2 + -16z2 + 16z2 = 0 + 16z2

Combine like terms: -16z2 + 16z2 = 0

36x2 + 0 = 0 + 16z2

36x2 = 0 + 16z2

Remove the zero:

36x2 = 16z2

Divide each side by '36'.

x2 = 0.4444444444z2

Simplifying

x2 = 0.4444444444z2

Take the square root of each side:

x = {-0.666666667z, 0.666666667z}

Explanation: You don't need to explain with words, by doing this work you explained how to simplify and how you can do it in many ways to get the exact answer.

the purpose of the heading in the passage is to identify who is telling the story.

this excerpt is part of the book sugar changed the world (2010) written by marc aronson and marina budhos. as the book has been written by two people, the heading "marc" indicates that this specific excerpt is being narrated by aronson. in the fragment, marc describes his grandfather's story after hearing it from his cousin. however, there are other excerpts where budhos is the one that tells the story of her family.

aronson and budhos, who are husband and wife in real life, decided to write sugar changed the world when they found out how sugar, which had an important role in slavery and economy, changed their ancestors' lives.

i cannot see any of the options