Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x2−58x5
Evaluate
4x2−29x5×2
Solution
4x2−58x5
Show Solution
Factor the expression
2x2(2−29x3)
Evaluate
4x2−29x5×2
Multiply the terms
4x2−58x5
Rewrite the expression
2x2×2−2x2×29x3
Solution
2x2(2−29x3)
Show Solution
Find the roots
x1=0,x2=2931682
Alternative Form
x1=0,x2≈0.410088
Evaluate
4x2−29x5×2
To find the roots of the expression,set the expression equal to 0
4x2−29x5×2=0
Multiply the terms
4x2−58x5=0
Factor the expression
2x2(2−29x3)=0
Divide both sides
x2(2−29x3)=0
Separate the equation into 2 possible cases
x2=02−29x3=0
The only way a power can be 0 is when the base equals 0
x=02−29x3=0
Solve the equation
More Steps
Evaluate
2−29x3=0
Move the constant to the right-hand side and change its sign
−29x3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−29x3=−2
Change the signs on both sides of the equation
29x3=2
Divide both sides
2929x3=292
Divide the numbers
x3=292
Take the 3-th root on both sides of the equation
3x3=3292
Calculate
x=3292
Simplify the root
More Steps
Evaluate
3292
To take a root of a fraction,take the root of the numerator and denominator separately
32932
Multiply by the Conjugate
329×329232×3292
Simplify
329×329232×3841
Multiply the numbers
329×329231682
Multiply the numbers
2931682
x=2931682
x=0x=2931682
Solution
x1=0,x2=2931682
Alternative Form
x1=0,x2≈0.410088
Show Solution