Question

Z= -1/2 simplify z²+4z+5​

Answer 1

(0 - 1 ) - 4z) - 5 = 0

2²

STEP

2

:

Simplify 1

2²

Equation at the end of step

2

:

((0 - 1 ) - 4z) - 5 = 0

4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

4z = 4z = 4z×4

1 4

-1 - (4z × 4) = -16z - 1

—————————————

4 4

Equation at the end of step

3

:

(-16z-1) - 5 = 0

4

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 4 as the denominator :

5 = 5 = 5×4

1 4

STEP

5

:

Pulling out like terms :

5.1 Pull out like factors :

-16z - 1 = -1 ×(16z + 1)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

(-16z-1) - (5 × 4) -16z - 21

——————————————————

4

STEP

6

:

Pulling out like terms :

6.1 Pull out like factors :

-16z - 21 = -1 × (16z + 21)

Equation at the end of step

6

:

-16z - 21

————————— = 0

4

STEP

7

:

Here's how:

-

-16z-21 × 4 = 0 × 4

4

Now, on the left hand side, the 4 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

-16z-21 = 0

Solving a Single Variable Equation:

7.2 Solve : -16z-21 = 0

Add 21 to both sides of the equation :

-16z = 21

Multiply both sides of the equation by (-1) : 16z = -21

Divide both sides of the equation by 16:

z = -21/16 = -1.312

One solution was found :

z = -21/16 = -1.312