Question
Solve the equation
x1=−36,x2=0,x3=36
Alternative Form
x1≈−0.816497,x2=0,x3≈0.816497
Evaluate
4x6=3x3×2x5
Multiply
More Steps

Evaluate
3x3×2x5
Multiply the terms
6x3×x5
Multiply the terms with the same base by adding their exponents
6x3+5
Add the numbers
6x8
4x6=6x8
Add or subtract both sides
4x6−6x8=0
Factor the expression
2x6(2−3x2)=0
Divide both sides
x6(2−3x2)=0
Separate the equation into 2 possible cases
x6=02−3x2=0
The only way a power can be 0 is when the base equals 0
x=02−3x2=0
Solve the equation
More Steps

Evaluate
2−3x2=0
Move the constant to the right-hand side and change its sign
−3x2=0−2
Removing 0 doesn't change the value,so remove it from the expression
−3x2=−2
Change the signs on both sides of the equation
3x2=2
Divide both sides
33x2=32
Divide the numbers
x2=32
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±32
Simplify the expression
More Steps

Evaluate
32
To take a root of a fraction,take the root of the numerator and denominator separately
32
Multiply by the Conjugate
3×32×3
Multiply the numbers
3×36
When a square root of an expression is multiplied by itself,the result is that expression
36
x=±36
Separate the equation into 2 possible cases
x=36x=−36
x=0x=36x=−36
Solution
x1=−36,x2=0,x3=36
Alternative Form
x1≈−0.816497,x2=0,x3≈0.816497
Show Solution
