Question
Simplify the expression
2x3−4x7
Evaluate
2x3−x5×4x2
Solution
More Steps

Evaluate
x5×4x2
Multiply the terms with the same base by adding their exponents
x5+2×4
Add the numbers
x7×4
Use the commutative property to reorder the terms
4x7
2x3−4x7
Show Solution

Factor the expression
2x3(1−2x4)
Evaluate
2x3−x5×4x2
Multiply
More Steps

Evaluate
x5×4x2
Multiply the terms with the same base by adding their exponents
x5+2×4
Add the numbers
x7×4
Use the commutative property to reorder the terms
4x7
2x3−4x7
Rewrite the expression
2x3−2x3×2x4
Solution
2x3(1−2x4)
Show Solution

Find the roots
x1=−248,x2=0,x3=248
Alternative Form
x1≈−0.840896,x2=0,x3≈0.840896
Evaluate
2x3−x5×4x2
To find the roots of the expression,set the expression equal to 0
2x3−x5×4x2=0
Multiply
More Steps

Multiply the terms
x5×4x2
Multiply the terms with the same base by adding their exponents
x5+2×4
Add the numbers
x7×4
Use the commutative property to reorder the terms
4x7
2x3−4x7=0
Factor the expression
2x3(1−2x4)=0
Divide both sides
x3(1−2x4)=0
Separate the equation into 2 possible cases
x3=01−2x4=0
The only way a power can be 0 is when the base equals 0
x=01−2x4=0
Solve the equation
More Steps

Evaluate
1−2x4=0
Move the constant to the right-hand side and change its sign
−2x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2x4=−1
Change the signs on both sides of the equation
2x4=1
Divide both sides
22x4=21
Divide the numbers
x4=21
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±421
Simplify the expression
More Steps

Evaluate
421
To take a root of a fraction,take the root of the numerator and denominator separately
4241
Simplify the radical expression
421
Multiply by the Conjugate
42×423423
Simplify
42×42348
Multiply the numbers
248
x=±248
Separate the equation into 2 possible cases
x=248x=−248
x=0x=248x=−248
Solution
x1=−248,x2=0,x3=248
Alternative Form
x1≈−0.840896,x2=0,x3≈0.840896
Show Solution
