Solve 0=-204t-3t^2

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Type your math problem... 0=-204t-3t^2

Question

Solve the quadratic equation

Solve by factoring

Solve using the quadratic formula

Solve by completing the square

t_{1} = - 68, t_{2} = 0

Evaluate

0 = - 204 t - 3 t^{2}

Swap the sides

- 204 t - 3 t^{2} = 0

Factor the expression

More Steps

Evaluate

- 204 t - 3 t^{2}

Rewrite the expression

- 3 t \times 68 - 3 t \times t

Factor out - 3 t from the expression

- 3 t (68 + t)

- 3 t (68 + t) = 0

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

- 3 t = 0 68 + t = 0

Solve the equation for t

More Steps

Evaluate

- 3 t = 0

Change the signs on both sides of the equation

3 t = 0

Rewrite the expression

t = 0

t = 0 68 + t = 0

Solve the equation for t

More Steps

Evaluate

68 + t = 0

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

t = 0 - 68

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

t = - 68

t = 0 t = - 68

Solution

t_{1} = - 68, t_{2} = 0

Show Solution

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