Solve 8t^2-9t-50 - ScanMath

Question

Factor the expression

(t + 2) (8 t - 25)

Evaluate

8 t^{2} - 9 t - 50

Rewrite the expression

8 t^{2} + (- 25 + 16) t - 50

Calculate

8 t^{2} - 25 t + 16 t - 50

Rewrite the expression

t \times 8 t - t \times 25 + 2 \times 8 t - 2 \times 25

Factor out t from the expression

t (8 t - 25) + 2 \times 8 t - 2 \times 25

Factor out 2 from the expression

t (8 t - 25) + 2 (8 t - 25)

Solution

(t + 2) (8 t - 25)

Show Solution

t_{1} = - 2, t_{2} = \frac{25}{8}

Alternative Form

t_{1} = - 2, t_{2} = 3.125

Evaluate

8 t^{2} - 9 t - 50

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

8 t^{2} - 9 t - 50 = 0

Factor the expression

More Steps

Evaluate

8 t^{2} - 9 t - 50

Rewrite the expression

8 t^{2} + (- 25 + 16) t - 50

Calculate

8 t^{2} - 25 t + 16 t - 50

Rewrite the expression

t \times 8 t - t \times 25 + 2 \times 8 t - 2 \times 25

Factor out t from the expression

t (8 t - 25) + 2 \times 8 t - 2 \times 25

Factor out 2 from the expression

t (8 t - 25) + 2 (8 t - 25)

Factor out 8 t - 25 from the expression

(t + 2) (8 t - 25)

(t + 2) (8 t - 25) = 0

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

t + 2 = 0 8 t - 25 = 0

Solve the equation for t

More Steps

Evaluate

t + 2 = 0

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

t = 0 - 2

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

t = - 2

t = - 2 8 t - 25 = 0

Solve the equation for t

More Steps

Evaluate

8 t - 25 = 0

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

8 t = 0 + 25

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

8 t = 25

Divide both sides

\frac{8 t}{8} = \frac{25}{8}

Divide the numbers

t = \frac{25}{8}

t = - 2 t = \frac{25}{8}

Solution

t_{1} = - 2, t_{2} = \frac{25}{8}

Alternative Form

t_{1} = - 2, t_{2} = 3.125

Show Solution