Solve 8t^3t-7t - ScanMath

Question

Simplify the expression

8 t^{4} - 7 t

Evaluate

8 t^{3} \times t - 7 t

Solution

More Steps

Evaluate

8 t^{3} \times t

Multiply the terms with the same base by adding their exponents

8 t^{3 + 1}

Add the numbers

8 t^{4}

8 t^{4} - 7 t

Show Solution

t (8 t^{3} - 7)

Evaluate

8 t^{3} \times t - 7 t

Multiply

More Steps

Evaluate

8 t^{3} \times t

Multiply the terms with the same base by adding their exponents

8 t^{3 + 1}

Add the numbers

8 t^{4}

8 t^{4} - 7 t

Rewrite the expression

t \times 8 t^{3} - t \times 7

Solution

t (8 t^{3} - 7)

Show Solution

t_{1} = 0, t_{2} = \frac{3 7}{2}

Alternative Form

t_{1} = 0, t_{2} \approx 0.956466

Evaluate

8 t^{3} \times t - 7 t

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

8 t^{3} \times t - 7 t = 0

Multiply

More Steps

Multiply the terms

8 t^{3} \times t

Multiply the terms with the same base by adding their exponents

8 t^{3 + 1}

Add the numbers

8 t^{4}

8 t^{4} - 7 t = 0

Factor the expression

t (8 t^{3} - 7) = 0

Separate the equation into 2 possible cases

t = 0 8 t^{3} - 7 = 0

Solve the equation

More Steps

Evaluate

8 t^{3} - 7 = 0

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

8 t^{3} = 0 + 7

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

8 t^{3} = 7

Divide both sides

\frac{8 t ^{3}}{8} = \frac{7}{8}

Divide the numbers

t^{3} = \frac{7}{8}

Take the 3 -th root on both sides of the equation

3 t^{3} = 3 \frac{7}{8}

Calculate

t = 3 \frac{7}{8}

Simplify the root

More Steps

Evaluate

3 \frac{7}{8}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 7}{3 8}

Simplify the radical expression

\frac{3 7}{2}

t = \frac{3 7}{2}

t = 0 t = \frac{3 7}{2}

Solution

t_{1} = 0, t_{2} = \frac{3 7}{2}

Alternative Form

t_{1} = 0, t_{2} \approx 0.956466

Show Solution