Solve 5(3)^(3) 17(3)^(2) 10x-12

Question

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x - 12

Simplify the expression

206550 x - 12

Evaluate

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x - 12

Solution

More Steps

Evaluate

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x

Multiply the terms

More Steps

Evaluate

5 \times 17 \times 10

Multiply the terms

85 \times 10

Multiply the numbers

850

850 \times 3^{3} \times 3^{2} x

Multiply the terms with the same base by adding their exponents

850 \times 3^{3 + 2} x

Add the numbers

850 \times 3^{5} x

Multiply the terms

More Steps

Evaluate

850 \times 3^{5}

Evaluate the power

850 \times 243

Multiply the numbers

206550

206550 x

206550 x - 12

Show Solution

Factor the expression

6 (34425 x - 2)

Evaluate

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x - 12

Multiply

More Steps

Evaluate

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x

Multiply the terms

More Steps

Evaluate

5 \times 17 \times 10

Multiply the terms

85 \times 10

Multiply the numbers

850

850 \times 3^{3} \times 3^{2} x

Multiply the terms with the same base by adding their exponents

850 \times 3^{3 + 2} x

Add the numbers

850 \times 3^{5} x

Multiply the terms

More Steps

Evaluate

850 \times 3^{5}

Evaluate the power

850 \times 243

Multiply the numbers

206550

206550 x

206550 x - 12

Solution

6 (34425 x - 2)

Show Solution

Find the roots

x = \frac{2}{34425}

Alternative Form

x \approx 5.809731 \times 1 0^{- 5}

Evaluate

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x - 12

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

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x - 12 = 0

Multiply

More Steps

Multiply the terms

5 \times 3^{3} \times 17 \times 3^{2} \times 10 x

Multiply the terms

More Steps

Evaluate

5 \times 17 \times 10

Multiply the terms

85 \times 10

Multiply the numbers

850

850 \times 3^{3} \times 3^{2} x

Multiply the terms with the same base by adding their exponents

850 \times 3^{3 + 2} x

Add the numbers

850 \times 3^{5} x

Multiply the terms

More Steps

Evaluate

850 \times 3^{5}

Evaluate the power

850 \times 243

Multiply the numbers

206550

206550 x

206550 x - 12 = 0

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

206550 x = 0 + 12

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

206550 x = 12

Divide both sides

\frac{206550 x}{206550} = \frac{12}{206550}

Divide the numbers

x = \frac{12}{206550}

Solution

x = \frac{2}{34425}

Alternative Form

x \approx 5.809731 \times 1 0^{- 5}

Show Solution