Question
Solve the equation(The real numbers system)
x1≈−4.582097,x2≈2.094513
Evaluate
41x3(x+4)+8=22
Move the expression to the left side
41x3(x+4)+8−22=0
Subtract the numbers
41x3(x+4)−14=0
Calculate
More Steps

Evaluate
41x3(x+4)
Apply the distributive property
41x3×x+41x3×4
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
41x4+41x3×4
Multiply the numbers
More Steps

Evaluate
41×4
Reduce the numbers
1×1
Simplify
1
41x4+x3
41x4+x3−14=0
Factor the expression
41(x4+4x3−56)=0
Divide both sides
x4+4x3−56=0
Solution
x1≈−4.582097,x2≈2.094513
Show Solution

Solve the equation(The complex numbers system)
x1≈−4.582097,x2≈−0.756208+2.294155i,x3≈−0.756208−2.294155i,x4≈2.094513
Evaluate
41x3(x+4)+8=22
Move the expression to the left side
41x3(x+4)+8−22=0
Subtract the numbers
41x3(x+4)−14=0
Calculate
More Steps

Evaluate
41x3(x+4)
Apply the distributive property
41x3×x+41x3×4
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
41x4+41x3×4
Multiply the numbers
More Steps

Evaluate
41×4
Reduce the numbers
1×1
Simplify
1
41x4+x3
41x4+x3−14=0
Factor the expression
41(x4+4x3−56)=0
Divide both sides
x4+4x3−56=0
Calculate
x≈2.094513x≈−0.756208−2.294155ix≈−0.756208+2.294155ix≈−4.582097
Solution
x1≈−4.582097,x2≈−0.756208+2.294155i,x3≈−0.756208−2.294155i,x4≈2.094513
Show Solution
