Solve 16x^(2) 34x -7

Question

Simplify the expression

544 x^{3} - 7

Evaluate

16 x^{2} \times 34 x - 7

Solution

More Steps

Evaluate

16 x^{2} \times 34 x

Multiply the terms

544 x^{2} \times x

Multiply the terms with the same base by adding their exponents

544 x^{2 + 1}

Add the numbers

544 x^{3}

544 x^{3} - 7

Show Solution

x = \frac{3 4046}{68}

Alternative Form

x \approx 0.234333

Evaluate

16 x^{2} \times 34 x - 7

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

16 x^{2} \times 34 x - 7 = 0

Multiply

More Steps

Multiply the terms

16 x^{2} \times 34 x

Multiply the terms

544 x^{2} \times x

Multiply the terms with the same base by adding their exponents

544 x^{2 + 1}

Add the numbers

544 x^{3}

544 x^{3} - 7 = 0

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

544 x^{3} = 0 + 7

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

544 x^{3} = 7

Divide both sides

\frac{544 x ^{3}}{544} = \frac{7}{544}

Divide the numbers

x^{3} = \frac{7}{544}

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

3 x^{3} = 3 \frac{7}{544}

Calculate

x = 3 \frac{7}{544}

Solution

More Steps

Evaluate

3 \frac{7}{544}

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

\frac{3 7}{3 544}

Simplify the radical expression

More Steps

Evaluate

3544

Write the expression as a product where the root of one of the factors can be evaluated

3 8 \times 68

Write the number in exponential form with the base of 2

3 2^{3} \times 68

The root of a product is equal to the product of the roots of each factor

3 2^{3} \times 368

Reduce the index of the radical and exponent with 3

2368

\frac{3 7}{2 3 68}

Multiply by the Conjugate

\frac{3 7 \times 3 6 8 ^{2}}{2 3 68 \times 3 6 8 ^{2}}

Simplify

\frac{3 7 \times 2 3 578}{2 3 68 \times 3 6 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 23578

Multiply the terms

34046 \times 2

Use the commutative property to reorder the terms

234046

\frac{2 3 4046}{2 3 68 \times 3 6 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

2368 \times 3 6 8^{2}

Multiply the terms

2 \times 68

Multiply the terms

136

\frac{2 3 4046}{136}

Cancel out the common factor 2

\frac{3 4046}{68}

x = \frac{3 4046}{68}

Alternative Form

x \approx 0.234333

Show Solution