Question
Solve the equation(The real numbers system)
x1≈−3.745517,x2≈1.869202
Evaluate
5x3(x−1)=217(2−x)
Calculate
More Steps

Evaluate
5x3(x−1)
Apply the distributive property
5x3×x−5x3×1
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
5x4−5x3×1
Any expression multiplied by 1 remains the same
5x4−5x3
5x4−5x3=217(2−x)
Calculate
More Steps

Evaluate
217(2−x)
Apply the distributive property
217×2−217x
Multiply the numbers
434−217x
5x4−5x3=434−217x
Move the expression to the left side
5x4−5x3−(434−217x)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x4−5x3−434+217x=0
Solution
x1≈−3.745517,x2≈1.869202
Show Solution

Solve the equation(The complex numbers system)
x1≈−3.745517,x2≈1.438157−3.213986i,x3≈1.438157+3.213986i,x4≈1.869202
Evaluate
5x3(x−1)=217(2−x)
Calculate
More Steps

Evaluate
5x3(x−1)
Apply the distributive property
5x3×x−5x3×1
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
5x4−5x3×1
Any expression multiplied by 1 remains the same
5x4−5x3
5x4−5x3=217(2−x)
Calculate
More Steps

Evaluate
217(2−x)
Apply the distributive property
217×2−217x
Multiply the numbers
434−217x
5x4−5x3=434−217x
Move the expression to the left side
5x4−5x3−(434−217x)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
5x4−5x3−434+217x=0
Calculate
x≈1.869202x≈1.438157+3.213986ix≈1.438157−3.213986ix≈−3.745517
Solution
x1≈−3.745517,x2≈1.438157−3.213986i,x3≈1.438157+3.213986i,x4≈1.869202
Show Solution
