Question
Solve the equation(The real numbers system)
w=3−11+337−311+337
Evaluate
w−19w−22=w3×1
Subtract the terms
More Steps

Evaluate
w−19w
Collect like terms by calculating the sum or difference of their coefficients
(1−19)w
Subtract the numbers
−18w
−18w−22=w3×1
Evaluate
−18w−22=w3
Move the expression to the left side
−18w−22−w3=0
Factor the expression
−(18w+22+w3)=0
Divide both sides
18w+22+w3=0
Solution
w=3−11+337−311+337
Show Solution

Solve the equation(The complex numbers system)
w1=2−3−11+337+311+337−2612366−594337+612366+594337i,w2=2−3−11+337+311+337+2612366−594337+612366+594337i,w3=3−11+337−311+337
Alternative Form
w1≈0.569965−4.355982i,w2≈0.569965+4.355982i,w3≈−1.139929
Evaluate
w−19w−22=w3×1
Subtract the terms
More Steps

Evaluate
w−19w
Collect like terms by calculating the sum or difference of their coefficients
(1−19)w
Subtract the numbers
−18w
−18w−22=w3×1
Any expression multiplied by 1 remains the same
−18w−22=w3
Move the expression to the left side
−18w−22−w3=0
Factor the expression
−(18w+22+w3)=0
Divide both sides
18w+22+w3=0
Calculate
w=3−11+337−311+337w=2−3−11+337+311+337+2612366−594337+612366+594337iw=2−3−11+337+311+337−2612366−594337+612366+594337i
Solution
w1=2−3−11+337+311+337−2612366−594337+612366+594337i,w2=2−3−11+337+311+337+2612366−594337+612366+594337i,w3=3−11+337−311+337
Alternative Form
w1≈0.569965−4.355982i,w2≈0.569965+4.355982i,w3≈−1.139929
Show Solution
