Solve 8x^4-6x^322x^23

Question

Simplify the expression

8 x^{4} - 396 x^{5}

Evaluate

8 x^{4} - 6 x^{3} \times 22 x^{2} \times 3

Solution

More Steps

Evaluate

6 x^{3} \times 22 x^{2} \times 3

Multiply the terms

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Evaluate

6 \times 22 \times 3

Multiply the terms

132 \times 3

Multiply the numbers

396

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

Multiply the terms with the same base by adding their exponents

396 x^{3 + 2}

Add the numbers

396 x^{5}

8 x^{4} - 396 x^{5}

Show Solution

Factor the expression

4 x^{4} (2 - 99 x)

Evaluate

8 x^{4} - 6 x^{3} \times 22 x^{2} \times 3

Multiply

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Evaluate

6 x^{3} \times 22 x^{2} \times 3

Multiply the terms

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Evaluate

6 \times 22 \times 3

Multiply the terms

132 \times 3

Multiply the numbers

396

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

Multiply the terms with the same base by adding their exponents

396 x^{3 + 2}

Add the numbers

396 x^{5}

8 x^{4} - 396 x^{5}

Rewrite the expression

4 x^{4} \times 2 - 4 x^{4} \times 99 x

Solution

4 x^{4} (2 - 99 x)

Show Solution

Find the roots

x_{1} = 0, x_{2} = \frac{2}{99}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{0} \dot{2}

Evaluate

8 x^{4} - 6 x^{3} \times 22 x^{2} \times 3

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

8 x^{4} - 6 x^{3} \times 22 x^{2} \times 3 = 0

Multiply

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Multiply the terms

6 x^{3} \times 22 x^{2} \times 3

Multiply the terms

More Steps

Evaluate

6 \times 22 \times 3

Multiply the terms

132 \times 3

Multiply the numbers

396

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

Multiply the terms with the same base by adding their exponents

396 x^{3 + 2}

Add the numbers

396 x^{5}

8 x^{4} - 396 x^{5} = 0

Factor the expression

4 x^{4} (2 - 99 x) = 0

Divide both sides

x^{4} (2 - 99 x) = 0

Separate the equation into 2 possible cases

x^{4} = 0 2 - 99 x = 0

The only way a power can be 0 is when the base equals 0

x = 0 2 - 99 x = 0

Solve the equation

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Evaluate

2 - 99 x = 0

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

- 99 x = 0 - 2

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

- 99 x = - 2

Change the signs on both sides of the equation

99 x = 2

Divide both sides

\frac{99 x}{99} = \frac{2}{99}

Divide the numbers

x = \frac{2}{99}

x = 0 x = \frac{2}{99}

Solution

x_{1} = 0, x_{2} = \frac{2}{99}

Alternative Form

x_{1} = 0, x_{2} = 0. \dot{0} \dot{2}

Show Solution