Algebra
Calculus
Trigonometry
Matrix
Question
3x−2x4×5
Simplify the expression
3x−10x4
Evaluate
3x−2x4×5
Solution
3x−10x4
Show Solution
Factor the expression
x(3−10x3)
Evaluate
3x−2x4×5
Multiply the numbers
More Steps
Evaluate
2×5
Multiply the numbers
10
Evaluate
10x4
3x−10x4
Rewrite the expression
x×3−x×10x3
Solution
x(3−10x3)
Show Solution
Find the roots
x1=0,x2=103300
Alternative Form
x1=0,x2≈0.669433
Evaluate
3x−(2x4)×5
To find the roots of the expression,set the expression equal to 0
3x−(2x4)×5=0
Multiply the terms
3x−2x4×5=0
Multiply the numbers
3x−10x4=0
Factor the expression
x(3−10x3)=0
Separate the equation into 2 possible cases
x=03−10x3=0
Solve the equation
More Steps
Evaluate
3−10x3=0
Move the constant to the right-hand side and change its sign
−10x3=0−3
Removing 0 doesn't change the value,so remove it from the expression
−10x3=−3
Change the signs on both sides of the equation
10x3=3
Divide both sides
1010x3=103
Divide the numbers
x3=103
Take the 3-th root on both sides of the equation
3x3=3103
Calculate
x=3103
Simplify the root
More Steps
Evaluate
3103
To take a root of a fraction,take the root of the numerator and denominator separately
31033
Multiply by the Conjugate
310×310233×3102
Simplify
310×310233×3100
Multiply the numbers
310×31023300
Multiply the numbers
103300
x=103300
x=0x=103300
Solution
x1=0,x2=103300
Alternative Form
x1=0,x2≈0.669433
Show Solution