Solve 34h^3-17h^2-40h^20

Question

Simplify the expression

34 h^{3} - 17 h^{2}

Evaluate

34 h^{3} - 17 h^{2} - 40 h^{2} \times 0

Any expression multiplied by 0 equals 0

34 h^{3} - 17 h^{2} - 0

Solution

34 h^{3} - 17 h^{2}

Show Solution

17 h^{2} (2 h - 1)

Evaluate

34 h^{3} - 17 h^{2} - 40 h^{2} \times 0

Multiply

More Steps

Multiply the terms

40 h^{2} \times 0

Any expression multiplied by 0 equals 0

0 \times h^{2}

Any expression multiplied by 0 equals 0

0

34 h^{3} - 17 h^{2} - 0

Removing 0 doesn't change the value,so remove it from the expression

34 h^{3} - 17 h^{2}

Rewrite the expression

17 h^{2} \times 2 h - 17 h^{2}

Solution

17 h^{2} (2 h - 1)

Show Solution

h_{1} = 0, h_{2} = \frac{1}{2}

Alternative Form

h_{1} = 0, h_{2} = 0.5

Evaluate

34 h^{3} - 17 h^{2} - 40 h^{2} \times 0

To find the roots of the expression,set the expression equal to 0

34 h^{3} - 17 h^{2} - 40 h^{2} \times 0 = 0

Multiply

More Steps

Multiply the terms

40 h^{2} \times 0

Any expression multiplied by 0 equals 0

0 \times h^{2}

Any expression multiplied by 0 equals 0

0

34 h^{3} - 17 h^{2} - 0 = 0

Removing 0 doesn't change the value,so remove it from the expression

34 h^{3} - 17 h^{2} = 0

Factor the expression

17 h^{2} (2 h - 1) = 0

Divide both sides

h^{2} (2 h - 1) = 0

Separate the equation into 2 possible cases

h^{2} = 0 2 h - 1 = 0

The only way a power can be 0 is when the base equals 0

h = 0 2 h - 1 = 0

Solve the equation

More Steps

Evaluate

2 h - 1 = 0

Move the constant to the right-hand side and change its sign

2 h = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

2 h = 1

Divide both sides

\frac{2 h}{2} = \frac{1}{2}

Divide the numbers

h = \frac{1}{2}

h = 0 h = \frac{1}{2}

Solution

h_{1} = 0, h_{2} = \frac{1}{2}

Alternative Form

h_{1} = 0, h_{2} = 0.5

Show Solution