Solve 2x^28x - 128 = 0

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Type your math problem... 2x^28x - 128 = 0

Question

Solve the equation

x = 2

Evaluate

2 x^{2} \times 8 x - 128 = 0

Multiply

More Steps

Evaluate

2 x^{2} \times 8 x

Multiply the terms

16 x^{2} \times x

Multiply the terms with the same base by adding their exponents

16 x^{2 + 1}

Add the numbers

16 x^{3}

16 x^{3} - 128 = 0

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

16 x^{3} = 0 + 128

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

16 x^{3} = 128

Divide both sides

\frac{16 x ^{3}}{16} = \frac{128}{16}

Divide the numbers

x^{3} = \frac{128}{16}

Divide the numbers

More Steps

Evaluate

\frac{128}{16}

Reduce the numbers

\frac{8}{1}

Calculate

8

x^{3} = 8

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

3 x^{3} = 38

Calculate

x = 38

Solution

More Steps

Evaluate

38

Write the number in exponential form with the base of 2

3 2^{3}

Reduce the index of the radical and exponent with 3

2

x = 2

Show Solution

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