Question
Simplify the expression
2x7−48x2
Evaluate
2x4×x3−8x2×6
Multiply
More Steps

Multiply the terms
2x4×x3
Multiply the terms with the same base by adding their exponents
2x4+3
Add the numbers
2x7
2x7−8x2×6
Solution
2x7−48x2
Show Solution

Factor the expression
2x2(x5−24)
Evaluate
2x4×x3−8x2×6
Multiply
More Steps

Multiply the terms
2x4×x3
Multiply the terms with the same base by adding their exponents
2x4+3
Add the numbers
2x7
2x7−8x2×6
Multiply the terms
2x7−48x2
Rewrite the expression
2x2×x5−2x2×24
Solution
2x2(x5−24)
Show Solution

Find the roots
x1=0,x2=524
Alternative Form
x1=0,x2≈1.888175
Evaluate
2x4×x3−8x2×6
To find the roots of the expression,set the expression equal to 0
2x4×x3−8x2×6=0
Multiply
More Steps

Multiply the terms
2x4×x3
Multiply the terms with the same base by adding their exponents
2x4+3
Add the numbers
2x7
2x7−8x2×6=0
Multiply the terms
2x7−48x2=0
Factor the expression
2x2(x5−24)=0
Divide both sides
x2(x5−24)=0
Separate the equation into 2 possible cases
x2=0x5−24=0
The only way a power can be 0 is when the base equals 0
x=0x5−24=0
Solve the equation
More Steps

Evaluate
x5−24=0
Move the constant to the right-hand side and change its sign
x5=0+24
Removing 0 doesn't change the value,so remove it from the expression
x5=24
Take the 5-th root on both sides of the equation
5x5=524
Calculate
x=524
x=0x=524
Solution
x1=0,x2=524
Alternative Form
x1=0,x2≈1.888175
Show Solution
