+8581 Set the factor '(-5 + -1z)' equal to zero and attempt to solve:
Simplifying
-5 + -1z = 0
Solving -5 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '5' to each side of the equation
. -5 + 5 +
-1z = 0 + 5
Combine like terms: -5 + 5 =
0 0 + -1z =
0 + 5 -1z = 0 + 5
Combine like terms:
0 + 5 = 5 -1z = 5
Divide each side by '-1'
. z = -5
Simplifying
z = -5
Solve for z: 3 z^2+14 z-5 = 0 The left hand side factors into a product with two terms: (z+5) (3 z-1) = 0 Split into two equations: z+5 = 0 or 3 z-1 = 0 Subtract 5 from both sides: z = -5 or 3 z-1 = 0 Add 1 to both sides: z = -5 or 3 z = 1 Divide both sides by 3: Answer: | | z = -5 or z = 1/3
