Solve 3(5-h)-2(h-2) = 3(h^3)-4(4 h)

Question

Solve the equation(The real numbers system)

h \approx 2.491678

Evaluate

3 (5 - h) - 2 (h - 2) = 3 h^{3} - 4 \times 4 h

Evaluate

3 (5 - h) - 2 (h - 2) = 3 h^{3} - 16 h

Move the expression to the left side

3 (5 - h) - 2 (h - 2) - (3 h^{3} - 16 h) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 (5 - h) - 2 (h - 2) - 3 h^{3} + 16 h = 0

Calculate the sum or difference

More Steps

Evaluate

3 (5 - h) - 2 (h - 2) - 3 h^{3} + 16 h

Expand the expression

More Steps

Calculate

3 (5 - h)

Apply the distributive property

3 \times 5 - 3 h

Multiply the numbers

15 - 3 h

15 - 3 h - 2 (h - 2) - 3 h^{3} + 16 h

Expand the expression

More Steps

Calculate

- 2 (h - 2)

Apply the distributive property

- 2 h - (- 2 \times 2)

Multiply the numbers

- 2 h - (- 4)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 h + 4

15 - 3 h - 2 h + 4 - 3 h^{3} + 16 h

Add the numbers

19 - 3 h - 2 h - 3 h^{3} + 16 h

Calculate the sum or difference

More Steps

Evaluate

- 3 h - 2 h + 16 h

Collect like terms by calculating the sum or difference of their coefficients

(- 3 - 2 + 16) h

Calculate the sum or difference

11 h

19 + 11 h - 3 h^{3}

19 + 11 h - 3 h^{3} = 0

Solution

h \approx 2.491678

Show Solution

Solve the equation(The complex numbers system)

h_{1} \approx - 1.245839 - 0.994826 i, h_{2} \approx - 1.245839 + 0.994826 i, h_{3} \approx 2.491678

Evaluate

3 (5 - h) - 2 (h - 2) = 3 h^{3} - 4 \times 4 h

Multiply the numbers

3 (5 - h) - 2 (h - 2) = 3 h^{3} - 16 h

Move the expression to the left side

3 (5 - h) - 2 (h - 2) - (3 h^{3} - 16 h) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 (5 - h) - 2 (h - 2) - 3 h^{3} + 16 h = 0

Calculate the sum or difference

More Steps

Evaluate

3 (5 - h) - 2 (h - 2) - 3 h^{3} + 16 h

Expand the expression

More Steps

Calculate

3 (5 - h)

Apply the distributive property

3 \times 5 - 3 h

Multiply the numbers

15 - 3 h

15 - 3 h - 2 (h - 2) - 3 h^{3} + 16 h

Expand the expression

More Steps

Calculate

- 2 (h - 2)

Apply the distributive property

- 2 h - (- 2 \times 2)

Multiply the numbers

- 2 h - (- 4)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 2 h + 4

15 - 3 h - 2 h + 4 - 3 h^{3} + 16 h

Add the numbers

19 - 3 h - 2 h - 3 h^{3} + 16 h

Calculate the sum or difference

More Steps

Evaluate

- 3 h - 2 h + 16 h

Collect like terms by calculating the sum or difference of their coefficients

(- 3 - 2 + 16) h

Calculate the sum or difference

11 h

19 + 11 h - 3 h^{3}

19 + 11 h - 3 h^{3} = 0

Calculate

h \approx 2.491678 h \approx - 1.245839 + 0.994826 i h \approx - 1.245839 - 0.994826 i

Solution

h_{1} \approx - 1.245839 - 0.994826 i, h_{2} \approx - 1.245839 + 0.994826 i, h_{3} \approx 2.491678

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

Graph