Question
Solve the equation
x1=0,x2=152375
Alternative Form
x1=0,x2≈0.562288
Evaluate
4(2x×1)=5x3×x×9
Remove the parentheses
4×2x×1=5x3×x×9
Multiply the terms
More Steps

Evaluate
4×2x×1
Rewrite the expression
4×2x
Multiply the terms
8x
8x=5x3×x×9
Multiply
More Steps

Evaluate
5x3×x×9
Multiply the terms
45x3×x
Multiply the terms with the same base by adding their exponents
45x3+1
Add the numbers
45x4
8x=45x4
Add or subtract both sides
8x−45x4=0
Factor the expression
x(8−45x3)=0
Separate the equation into 2 possible cases
x=08−45x3=0
Solve the equation
More Steps

Evaluate
8−45x3=0
Move the constant to the right-hand side and change its sign
−45x3=0−8
Removing 0 doesn't change the value,so remove it from the expression
−45x3=−8
Change the signs on both sides of the equation
45x3=8
Divide both sides
4545x3=458
Divide the numbers
x3=458
Take the 3-th root on both sides of the equation
3x3=3458
Calculate
x=3458
Simplify the root
More Steps

Evaluate
3458
To take a root of a fraction,take the root of the numerator and denominator separately
34538
Simplify the radical expression
3452
Multiply by the Conjugate
345×345223452
Simplify
345×34522×3375
Multiply the numbers
345×34526375
Multiply the numbers
456375
Cancel out the common factor 3
152375
x=152375
x=0x=152375
Solution
x1=0,x2=152375
Alternative Form
x1=0,x2≈0.562288
Show Solution
