Question
Simplify the expression
5x3−750
Evaluate
x2×5x−750
Solution
More Steps

Evaluate
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−750
Show Solution

Factor the expression
5(x3−150)
Evaluate
x2×5x−750
Multiply
More Steps

Evaluate
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−750
Solution
5(x3−150)
Show Solution

Find the roots
x=3150
Alternative Form
x≈5.313293
Evaluate
x2×5x−750
To find the roots of the expression,set the expression equal to 0
x2×5x−750=0
Multiply
More Steps

Multiply the terms
x2×5x
Multiply the terms with the same base by adding their exponents
x2+1×5
Add the numbers
x3×5
Use the commutative property to reorder the terms
5x3
5x3−750=0
Move the constant to the right-hand side and change its sign
5x3=0+750
Removing 0 doesn't change the value,so remove it from the expression
5x3=750
Divide both sides
55x3=5750
Divide the numbers
x3=5750
Divide the numbers
More Steps

Evaluate
5750
Reduce the numbers
1150
Calculate
150
x3=150
Take the 3-th root on both sides of the equation
3x3=3150
Solution
x=3150
Alternative Form
x≈5.313293
Show Solution
