Question
Simplify the expression
707x3−37
Evaluate
28x3×7+73x3×7−37
Multiply the terms
196x3+73x3×7−37
Multiply the terms
196x3+511x3−37
Solution
More Steps

Evaluate
196x3+511x3
Collect like terms by calculating the sum or difference of their coefficients
(196+511)x3
Add the numbers
707x3
707x3−37
Show Solution

Find the roots
x=707337×7072
Alternative Form
x≈0.374048
Evaluate
28x3×7+73x3×7−37
To find the roots of the expression,set the expression equal to 0
28x3×7+73x3×7−37=0
Multiply the terms
196x3+73x3×7−37=0
Multiply the terms
196x3+511x3−37=0
Add the terms
More Steps

Evaluate
196x3+511x3
Collect like terms by calculating the sum or difference of their coefficients
(196+511)x3
Add the numbers
707x3
707x3−37=0
Move the constant to the right-hand side and change its sign
707x3=0+37
Removing 0 doesn't change the value,so remove it from the expression
707x3=37
Divide both sides
707707x3=70737
Divide the numbers
x3=70737
Take the 3-th root on both sides of the equation
3x3=370737
Calculate
x=370737
Solution
More Steps

Evaluate
370737
To take a root of a fraction,take the root of the numerator and denominator separately
3707337
Multiply by the Conjugate
3707×37072337×37072
The product of roots with the same index is equal to the root of the product
3707×37072337×7072
Multiply the numbers
More Steps

Evaluate
3707×37072
The product of roots with the same index is equal to the root of the product
3707×7072
Calculate the product
37073
Reduce the index of the radical and exponent with 3
707
707337×7072
x=707337×7072
Alternative Form
x≈0.374048
Show Solution
