Question
Simplify the expression
−400x3−28
Evaluate
−40x2×10x−28
Solution
More Steps

Evaluate
−40x2×10x
Multiply the terms
−400x2×x
Multiply the terms with the same base by adding their exponents
−400x2+1
Add the numbers
−400x3
−400x3−28
Show Solution

Factor the expression
−4(100x3+7)
Evaluate
−40x2×10x−28
Multiply
More Steps

Evaluate
−40x2×10x
Multiply the terms
−400x2×x
Multiply the terms with the same base by adding their exponents
−400x2+1
Add the numbers
−400x3
−400x3−28
Solution
−4(100x3+7)
Show Solution

Find the roots
x=−10370
Alternative Form
x≈−0.412129
Evaluate
−40x2×10x−28
To find the roots of the expression,set the expression equal to 0
−40x2×10x−28=0
Multiply
More Steps

Multiply the terms
−40x2×10x
Multiply the terms
−400x2×x
Multiply the terms with the same base by adding their exponents
−400x2+1
Add the numbers
−400x3
−400x3−28=0
Move the constant to the right-hand side and change its sign
−400x3=0+28
Removing 0 doesn't change the value,so remove it from the expression
−400x3=28
Change the signs on both sides of the equation
400x3=−28
Divide both sides
400400x3=400−28
Divide the numbers
x3=400−28
Divide the numbers
More Steps

Evaluate
400−28
Cancel out the common factor 4
100−7
Use b−a=−ba=−ba to rewrite the fraction
−1007
x3=−1007
Take the 3-th root on both sides of the equation
3x3=3−1007
Calculate
x=3−1007
Solution
More Steps

Evaluate
3−1007
An odd root of a negative radicand is always a negative
−31007
To take a root of a fraction,take the root of the numerator and denominator separately
−310037
Multiply by the Conjugate
3100×31002−37×31002
Simplify
3100×31002−37×10310
Multiply the numbers
More Steps

Evaluate
−37×10310
Multiply the terms
−370×10
Use the commutative property to reorder the terms
−10370
3100×31002−10370
Multiply the numbers
More Steps

Evaluate
3100×31002
The product of roots with the same index is equal to the root of the product
3100×1002
Calculate the product
31003
Transform the expression
3106
Reduce the index of the radical and exponent with 3
102
102−10370
Reduce the fraction
More Steps

Evaluate
102−10
Use the product rule aman=an−m to simplify the expression
102−1−1
Subtract the terms
101−1
Simplify
10−1
10−370
Calculate
−10370
x=−10370
Alternative Form
x≈−0.412129
Show Solution
