Question
Solve the equation
x1=−1,x2=0,x3=1
Evaluate
7x3−4x=3(x×1)
Remove the parentheses
7x3−4x=3x×1
Multiply the terms
7x3−4x=3x
Move the expression to the left side
7x3−4x−3x=0
Subtract the terms
More Steps

Evaluate
−4x−3x
Collect like terms by calculating the sum or difference of their coefficients
(−4−3)x
Subtract the numbers
−7x
7x3−7x=0
Factor the expression
7x(x2−1)=0
Divide both sides
x(x2−1)=0
Separate the equation into 2 possible cases
x=0x2−1=0
Solve the equation
More Steps

Evaluate
x2−1=0
Move the constant to the right-hand side and change its sign
x2=0+1
Removing 0 doesn't change the value,so remove it from the expression
x2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±1
Simplify the expression
x=±1
Separate the equation into 2 possible cases
x=1x=−1
x=0x=1x=−1
Solution
x1=−1,x2=0,x3=1
Show Solution
