Question
Solve the equation
x1=−2424,x2=0,x3=2424
Alternative Form
x1≈−1.106682,x2=0,x3≈1.106682
Evaluate
2x5=3x×1
Multiply the terms
2x5=3x
Add or subtract both sides
2x5−3x=0
Factor the expression
x(2x4−3)=0
Separate the equation into 2 possible cases
x=02x4−3=0
Solve the equation
More Steps

Evaluate
2x4−3=0
Move the constant to the right-hand side and change its sign
2x4=0+3
Removing 0 doesn't change the value,so remove it from the expression
2x4=3
Divide both sides
22x4=23
Divide the numbers
x4=23
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±423
Simplify the expression
More Steps

Evaluate
423
To take a root of a fraction,take the root of the numerator and denominator separately
4243
Multiply by the Conjugate
42×42343×423
Simplify
42×42343×48
Multiply the numbers
42×423424
Multiply the numbers
2424
x=±2424
Separate the equation into 2 possible cases
x=2424x=−2424
x=0x=2424x=−2424
Solution
x1=−2424,x2=0,x3=2424
Alternative Form
x1≈−1.106682,x2=0,x3≈1.106682
Show Solution
