Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
12h−50h4
Evaluate
12h−10h4×5
Solution
12h−50h4
Show Solution
Factor the expression
2h(6−25h3)
Evaluate
12h−10h4×5
Multiply the terms
12h−50h4
Rewrite the expression
2h×6−2h×25h3
Solution
2h(6−25h3)
Show Solution
Find the roots
h1=0,h2=5330
Alternative Form
h1=0,h2≈0.621447
Evaluate
12h−10h4×5
To find the roots of the expression,set the expression equal to 0
12h−10h4×5=0
Multiply the terms
12h−50h4=0
Factor the expression
2h(6−25h3)=0
Divide both sides
h(6−25h3)=0
Separate the equation into 2 possible cases
h=06−25h3=0
Solve the equation
More Steps
Evaluate
6−25h3=0
Move the constant to the right-hand side and change its sign
−25h3=0−6
Removing 0 doesn't change the value,so remove it from the expression
−25h3=−6
Change the signs on both sides of the equation
25h3=6
Divide both sides
2525h3=256
Divide the numbers
h3=256
Take the 3-th root on both sides of the equation
3h3=3256
Calculate
h=3256
Simplify the root
More Steps
Evaluate
3256
To take a root of a fraction,take the root of the numerator and denominator separately
32536
Multiply by the Conjugate
325×325236×3252
Simplify
325×325236×535
Multiply the numbers
325×32525330
Multiply the numbers
525330
Reduce the fraction
5330
h=5330
h=0h=5330
Solution
h1=0,h2=5330
Alternative Form
h1=0,h2≈0.621447
Show Solution