Question
Simplify the expression
34h3−17h2
Evaluate
34h3−17h2−40h2×0
Any expression multiplied by 0 equals 0
34h3−17h2−0
Solution
34h3−17h2
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Factor the expression
17h2(2h−1)
Evaluate
34h3−17h2−40h2×0
Multiply
More Steps

Multiply the terms
40h2×0
Any expression multiplied by 0 equals 0
0×h2
Any expression multiplied by 0 equals 0
0
34h3−17h2−0
Removing 0 doesn't change the value,so remove it from the expression
34h3−17h2
Rewrite the expression
17h2×2h−17h2
Solution
17h2(2h−1)
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Find the roots
h1=0,h2=21
Alternative Form
h1=0,h2=0.5
Evaluate
34h3−17h2−40h2×0
To find the roots of the expression,set the expression equal to 0
34h3−17h2−40h2×0=0
Multiply
More Steps

Multiply the terms
40h2×0
Any expression multiplied by 0 equals 0
0×h2
Any expression multiplied by 0 equals 0
0
34h3−17h2−0=0
Removing 0 doesn't change the value,so remove it from the expression
34h3−17h2=0
Factor the expression
17h2(2h−1)=0
Divide both sides
h2(2h−1)=0
Separate the equation into 2 possible cases
h2=02h−1=0
The only way a power can be 0 is when the base equals 0
h=02h−1=0
Solve the equation
More Steps

Evaluate
2h−1=0
Move the constant to the right-hand side and change its sign
2h=0+1
Removing 0 doesn't change the value,so remove it from the expression
2h=1
Divide both sides
22h=21
Divide the numbers
h=21
h=0h=21
Solution
h1=0,h2=21
Alternative Form
h1=0,h2=0.5
Show Solution
