Solve 2(3t-10) t=404t

Evaluate

2 (3 t - 10) t = 404 t

Multiply the terms

2 t (3 t - 10) = 404 t

Expand the expression

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6 t^{2} - 20 t = 404 t

Move the expression to the left side

6 t^{2} - 424 t = 0

Factor the expression

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2 t (3 t - 212) = 0

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

3 t - 212 = 0 2 t = 0

Solve the equation for t

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t = \frac{212}{3} 2 t = 0

Solve the equation for t

t = \frac{212}{3} t = 0

Solution

t_{1} = 0, t_{2} = \frac{212}{3}

Alternative Form

t_{1} = 0, t_{2} = 70. \dot{6}

Solve the quadratic equation