Math

Question Find the value of zz that satisfies the equation z+124=0\frac{z+12}{-4}=0.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation z+124=0\frac{z+12}{-4}=0.
2. We need to solve for the variable zz.

STEP 2

To solve for zz, we need to isolate zz on one side of the equation. We can start by multiplying both sides of the equation by 4-4 to eliminate the denominator.
4×z+124=0×4-4 \times \frac{z+12}{-4} = 0 \times -4

STEP 3

The multiplication of 4-4 on the left side cancels out the denominator, and on the right side, any number multiplied by zero is zero.
z+12=0z + 12 = 0

STEP 4

Now, we subtract 12 from both sides of the equation to solve for zz.
z+1212=012z + 12 - 12 = 0 - 12

STEP 5

This simplifies to:
z=12z = -12
So, the solution for zz is:
z=12z = -12

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