Solve (t^2-2t-4t)

Question

Simplify the expression

t^{2} - 6 t

Evaluate

t^{2} - 2 t - 4 t

Solution

More Steps

Evaluate

- 2 t - 4 t

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

(- 2 - 4) t

Subtract the numbers

- 6 t

t^{2} - 6 t

Show Solution

t (t - 6)

Evaluate

t^{2} - 2 t - 4 t

Subtract the terms

More Steps

Evaluate

- 2 t - 4 t

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

(- 2 - 4) t

Subtract the numbers

- 6 t

t^{2} - 6 t

Rewrite the expression

t \times t - t \times 6

Solution

t (t - 6)

Show Solution

t_{1} = 0, t_{2} = 6

Evaluate

(t^{2} - 2 t - 4 t)

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

t^{2} - 2 t - 4 t = 0

Subtract the terms

More Steps

Simplify

t^{2} - 2 t - 4 t

Subtract the terms

More Steps

Evaluate

- 2 t - 4 t

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

(- 2 - 4) t

Subtract the numbers

- 6 t

t^{2} - 6 t

t^{2} - 6 t = 0

Factor the expression

More Steps

Evaluate

t^{2} - 6 t

Rewrite the expression

t \times t - t \times 6

Factor out t from the expression

t (t - 6)

t (t - 6) = 0

When the product of factors equals 0,at least one factor is 0

t = 0 t - 6 = 0

Solve the equation for t

More Steps

Evaluate

t - 6 = 0

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

t = 0 + 6

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

t = 6

t = 0 t = 6

Solution

t_{1} = 0, t_{2} = 6

Show Solution