Question
Solve the equation
x=−1
Evaluate
x3−19=x19−3
Find the domain
x3−19=x19−3,x=0
Multiply both sides of the equation by LCD
(x3−19)x=(x19−3)x
Simplify the equation
More Steps

Evaluate
(x3−19)x
Apply the distributive property
x3×x−19x
Simplify
3−19x
3−19x=(x19−3)x
Simplify the equation
More Steps

Evaluate
(x19−3)x
Apply the distributive property
x19×x−3x
Simplify
19−3x
3−19x=19−3x
Move the expression to the left side
3−19x+3x=19
Move the expression to the right side
−19x+3x=19−3
Add and subtract
More Steps

Evaluate
−19x+3x
Collect like terms by calculating the sum or difference of their coefficients
(−19+3)x
Add the numbers
−16x
−16x=19−3
Add and subtract
−16x=16
Change the signs on both sides of the equation
16x=−16
Divide both sides
1616x=16−16
Divide the numbers
x=16−16
Divide the numbers
More Steps

Evaluate
16−16
Reduce the numbers
1−1
Calculate
−1
x=−1
Check if the solution is in the defined range
x=−1,x=0
Solution
x=−1
Show Solution
