Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−7x3−8
Evaluate
−x2×7x−8
Solution
More Steps
Evaluate
−x2×7x
Multiply the terms with the same base by adding their exponents
−x2+1×7
Add the numbers
−x3×7
Use the commutative property to reorder the terms
−7x3
−7x3−8
Show Solution
Find the roots
x=−72349
Alternative Form
x≈−1.045516
Evaluate
−x2×7x−8
To find the roots of the expression,set the expression equal to 0
−x2×7x−8=0
Multiply
More Steps
Multiply the terms
x2×7x
Multiply the terms with the same base by adding their exponents
x2+1×7
Add the numbers
x3×7
Use the commutative property to reorder the terms
7x3
−7x3−8=0
Move the constant to the right-hand side and change its sign
−7x3=0+8
Removing 0 doesn't change the value,so remove it from the expression
−7x3=8
Change the signs on both sides of the equation
7x3=−8
Divide both sides
77x3=7−8
Divide the numbers
x3=7−8
Use b−a=−ba=−ba to rewrite the fraction
x3=−78
Take the 3-th root on both sides of the equation
3x3=3−78
Calculate
x=3−78
Solution
More Steps
Evaluate
3−78
An odd root of a negative radicand is always a negative
−378
To take a root of a fraction,take the root of the numerator and denominator separately
−3738
Simplify the radical expression
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
−372
Multiply by the Conjugate
37×372−2372
Simplify
37×372−2349
Multiply the numbers
More Steps
Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
7−2349
Calculate
−72349
x=−72349
Alternative Form
x≈−1.045516
Show Solution