Solve 24x^24x^243x^24x^24 - 24x^482x^48

Question

Simplify the expression

50304 x^{8}

Evaluate

24 x^{2} \times 4 x^{2} \times 43 x^{2} \times 4 x^{2} \times 4 - 24 x^{4} \times 82 x^{4} \times 8

Rewrite the expression in exponential form

24 x^{2} \times 4^{3} x^{2} \times 43 x^{2} \times x^{2} - 24 x^{4} \times 82 x^{4} \times 8

Multiply

More Steps

Multiply the terms

24 x^{2} \times 4^{3} x^{2} \times 43 x^{2} \times x^{2}

Multiply the terms

1032 x^{2} \times 4^{3} x^{2} \times x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

1032 x^{2 + 2 + 2 + 2} \times 4^{3}

Add the numbers

1032 x^{8} \times 4^{3}

Multiply the numbers

More Steps

Evaluate

1032 \times 4^{3}

Evaluate the power

1032 \times 64

Multiply the numbers

66048

66048 x^{8}

66048 x^{8} - 24 x^{4} \times 82 x^{4} \times 8

Multiply

More Steps

Multiply the terms

24 x^{4} \times 82 x^{4} \times 8

Multiply the terms

More Steps

Evaluate

24 \times 82 \times 8

Multiply the terms

1968 \times 8

Multiply the numbers

15744

15744 x^{4} \times x^{4}

Multiply the terms with the same base by adding their exponents

15744 x^{4 + 4}

Add the numbers

15744 x^{8}

66048 x^{8} - 15744 x^{8}

Collect like terms by calculating the sum or difference of their coefficients

(66048 - 15744) x^{8}

Solution

50304 x^{8}

Show Solution

Find the roots

x = 0

Evaluate

24 x^{2} \times 4 x^{2} \times 43 x^{2} \times 4 x^{2} \times 4 - 24 x^{4} \times 82 x^{4} \times 8

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

24 x^{2} \times 4 x^{2} \times 43 x^{2} \times 4 x^{2} \times 4 - 24 x^{4} \times 82 x^{4} \times 8 = 0

Multiply

More Steps

Multiply the terms

24 x^{2} \times 4 x^{2} \times 43 x^{2} \times 4 x^{2} \times 4

Multiply the terms

More Steps

Evaluate

24 \times 4 \times 43 \times 4 \times 4

Multiply the terms

96 \times 43 \times 4 \times 4

Multiply the terms

4128 \times 4 \times 4

Multiply the terms

16512 \times 4

Multiply the numbers

66048

66048 x^{2} \times x^{2} \times x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

66048 x^{2 + 2 + 2 + 2}

Add the numbers

66048 x^{8}

66048 x^{8} - 24 x^{4} \times 82 x^{4} \times 8 = 0

Multiply

More Steps

Multiply the terms

24 x^{4} \times 82 x^{4} \times 8

Multiply the terms

More Steps

Evaluate

24 \times 82 \times 8

Multiply the terms

1968 \times 8

Multiply the numbers

15744

15744 x^{4} \times x^{4}

Multiply the terms with the same base by adding their exponents

15744 x^{4 + 4}

Add the numbers

15744 x^{8}

66048 x^{8} - 15744 x^{8} = 0

Subtract the terms

More Steps

Simplify

66048 x^{8} - 15744 x^{8}

Collect like terms by calculating the sum or difference of their coefficients

(66048 - 15744) x^{8}

Subtract the numbers

50304 x^{8}

50304 x^{8} = 0

Rewrite the expression

x^{8} = 0

Solution

x = 0

Show Solution