Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
75h4−7h
Evaluate
15h4×5−7h
Solution
75h4−7h
Show Solution
Factor the expression
h(75h3−7)
Evaluate
15h4×5−7h
Multiply the terms
75h4−7h
Rewrite the expression
h×75h3−h×7
Solution
h(75h3−7)
Show Solution
Find the roots
h1=0,h2=153315
Alternative Form
h1=0,h2≈0.453606
Evaluate
15h4×5−7h
To find the roots of the expression,set the expression equal to 0
15h4×5−7h=0
Multiply the terms
75h4−7h=0
Factor the expression
h(75h3−7)=0
Separate the equation into 2 possible cases
h=075h3−7=0
Solve the equation
More Steps
Evaluate
75h3−7=0
Move the constant to the right-hand side and change its sign
75h3=0+7
Removing 0 doesn't change the value,so remove it from the expression
75h3=7
Divide both sides
7575h3=757
Divide the numbers
h3=757
Take the 3-th root on both sides of the equation
3h3=3757
Calculate
h=3757
Simplify the root
More Steps
Evaluate
3757
To take a root of a fraction,take the root of the numerator and denominator separately
37537
Multiply by the Conjugate
375×375237×3752
Simplify
375×375237×5345
Multiply the numbers
375×375253315
Multiply the numbers
7553315
Cancel out the common factor 5
153315
h=153315
h=0h=153315
Solution
h1=0,h2=153315
Alternative Form
h1=0,h2≈0.453606
Show Solution