Question
Solve the equation
x1=−246,x2=0,x3=246
Alternative Form
x1≈−0.782542,x2=0,x3≈0.782542
Evaluate
3×4x=2x5
Multiply the terms
43x=2x5
Cross multiply
3x=4×2x5
Simplify the equation
3x=8x5
Add or subtract both sides
3x−8x5=0
Factor the expression
x(3−8x4)=0
Separate the equation into 2 possible cases
x=03−8x4=0
Solve the equation
More Steps

Evaluate
3−8x4=0
Move the constant to the right-hand side and change its sign
−8x4=0−3
Removing 0 doesn't change the value,so remove it from the expression
−8x4=−3
Change the signs on both sides of the equation
8x4=3
Divide both sides
88x4=83
Divide the numbers
x4=83
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±483
Simplify the expression
More Steps

Evaluate
483
To take a root of a fraction,take the root of the numerator and denominator separately
4843
Multiply by the Conjugate
48×48343×483
Simplify
48×48343×2242
Multiply the numbers
48×4832246
Multiply the numbers
232246
Reduce the fraction
246
x=±246
Separate the equation into 2 possible cases
x=246x=−246
x=0x=246x=−246
Solution
x1=−246,x2=0,x3=246
Alternative Form
x1≈−0.782542,x2=0,x3≈0.782542
Show Solution
