Solve t^406t-12 - ScanMath

Question

Simplify the expression

6 t^{5} - 12

Evaluate

t^{4} \times 6 t - 12

Solution

More Steps

Evaluate

t^{4} \times 6 t

Multiply the terms with the same base by adding their exponents

t^{4 + 1} \times 6

Add the numbers

t^{5} \times 6

Use the commutative property to reorder the terms

6 t^{5}

6 t^{5} - 12

Show Solution

6 (t^{5} - 2)

Evaluate

t^{4} \times 6 t - 12

Multiply

More Steps

Evaluate

t^{4} \times 6 t

Multiply the terms with the same base by adding their exponents

t^{4 + 1} \times 6

Add the numbers

t^{5} \times 6

Use the commutative property to reorder the terms

6 t^{5}

6 t^{5} - 12

Solution

6 (t^{5} - 2)

Show Solution

t = 52

Alternative Form

t \approx 1.148698

Evaluate

t^{4} \times 6 t - 12

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

t^{4} \times 6 t - 12 = 0

Multiply

More Steps

Multiply the terms

t^{4} \times 6 t

Multiply the terms with the same base by adding their exponents

t^{4 + 1} \times 6

Add the numbers

t^{5} \times 6

Use the commutative property to reorder the terms

6 t^{5}

6 t^{5} - 12 = 0

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

6 t^{5} = 0 + 12

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

6 t^{5} = 12

Divide both sides

\frac{6 t ^{5}}{6} = \frac{12}{6}

Divide the numbers

t^{5} = \frac{12}{6}

Divide the numbers

More Steps

Evaluate

\frac{12}{6}

Reduce the numbers

\frac{2}{1}

Calculate

2

t^{5} = 2

Take the 5 -th root on both sides of the equation

5 t^{5} = 52

Solution

t = 52

Alternative Form

t \approx 1.148698

Show Solution