Question
(300x2×320x×80)−(15x2×16x4)
Simplify the expression
7680000x3−240x6
Evaluate
(300x2×320x×80)−(15x2×16x4)
Multiply
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Multiply the terms
300x2×320x×80
Multiply the terms
More Steps

Evaluate
300×320×80
Multiply the terms
96000×80
Multiply the numbers
7680000
7680000x2×x
Multiply the terms with the same base by adding their exponents
7680000x2+1
Add the numbers
7680000x3
7680000x3−(15x2×16x4)
Solution
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Multiply the terms
15x2×16x4
Multiply the terms
240x2×x4
Multiply the terms with the same base by adding their exponents
240x2+4
Add the numbers
240x6
7680000x3−240x6
Show Solution

Factor the expression
240x3(32000−x3)
Evaluate
(300x2×320x×80)−(15x2×16x4)
Multiply
More Steps

Multiply the terms
300x2×320x×80
Multiply the terms
More Steps

Evaluate
300×320×80
Multiply the terms
96000×80
Multiply the numbers
7680000
7680000x2×x
Multiply the terms with the same base by adding their exponents
7680000x2+1
Add the numbers
7680000x3
7680000x3−(15x2×16x4)
Multiply
More Steps

Multiply the terms
15x2×16x4
Multiply the terms
240x2×x4
Multiply the terms with the same base by adding their exponents
240x2+4
Add the numbers
240x6
7680000x3−240x6
Rewrite the expression
240x3×32000−240x3×x3
Solution
240x3(32000−x3)
Show Solution

Find the roots
x1=0,x2=2034
Alternative Form
x1=0,x2≈31.748021
Evaluate
(300x2×320x×80)−(15x2×16x4)
To find the roots of the expression,set the expression equal to 0
(300x2×320x×80)−(15x2×16x4)=0
Multiply
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Multiply the terms
300x2×320x×80
Multiply the terms
More Steps

Evaluate
300×320×80
Multiply the terms
96000×80
Multiply the numbers
7680000
7680000x2×x
Multiply the terms with the same base by adding their exponents
7680000x2+1
Add the numbers
7680000x3
7680000x3−(15x2×16x4)=0
Multiply
More Steps

Multiply the terms
15x2×16x4
Multiply the terms
240x2×x4
Multiply the terms with the same base by adding their exponents
240x2+4
Add the numbers
240x6
7680000x3−240x6=0
Factor the expression
240x3(32000−x3)=0
Divide both sides
x3(32000−x3)=0
Separate the equation into 2 possible cases
x3=032000−x3=0
The only way a power can be 0 is when the base equals 0
x=032000−x3=0
Solve the equation
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Evaluate
32000−x3=0
Move the constant to the right-hand side and change its sign
−x3=0−32000
Removing 0 doesn't change the value,so remove it from the expression
−x3=−32000
Change the signs on both sides of the equation
x3=32000
Take the 3-th root on both sides of the equation
3x3=332000
Calculate
x=332000
Simplify the root
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Evaluate
332000
Write the expression as a product where the root of one of the factors can be evaluated
38000×4
Write the number in exponential form with the base of 20
3203×4
The root of a product is equal to the product of the roots of each factor
3203×34
Reduce the index of the radical and exponent with 3
2034
x=2034
x=0x=2034
Solution
x1=0,x2=2034
Alternative Form
x1=0,x2≈31.748021
Show Solution
