Solve 5x 7 - x - 2 = 6x^3x - 16

Question

Solve the equation(The real numbers system)

x_{1} \approx - 0.406926, x_{2} \approx 1.903109

Evaluate

5 x \times 7 - x - 2 = 6 x^{3} \times x - 16

Simplify

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Evaluate

5 x \times 7 - x - 2

Multiply the terms

35 x - x - 2

Subtract the terms

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Evaluate

35 x - x

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

(35 - 1) x

Subtract the numbers

34 x

34 x - 2

34 x - 2 = 6 x^{3} \times x - 16

Evaluate

More Steps

Evaluate

6 x^{3} \times x

Multiply the terms with the same base by adding their exponents

6 x^{3 + 1}

Add the numbers

6 x^{4}

34 x - 2 = 6 x^{4} - 16

Move the expression to the left side

34 x - 2 - (6 x^{4} - 16) = 0

Subtract the terms

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Evaluate

34 x - 2 - (6 x^{4} - 16)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

34 x - 2 - 6 x^{4} + 16

Add the numbers

34 x + 14 - 6 x^{4}

34 x + 14 - 6 x^{4} = 0

Factor the expression

2 (17 x + 7 - 3 x^{4}) = 0

Divide both sides

17 x + 7 - 3 x^{4} = 0

Solution

x_{1} \approx - 0.406926, x_{2} \approx 1.903109

Show Solution

Solve the equation(The complex numbers system)

x_{1} \approx - 0.748092 + 1.566317 i, x_{2} \approx - 0.406926, x_{3} \approx 1.903109, x_{4} \approx - 0.748092 - 1.566317 i

Evaluate

5 x \times 7 - x - 2 = 6 x^{3} \times x - 16

Simplify

More Steps

Evaluate

5 x \times 7 - x - 2

Multiply the terms

35 x - x - 2

Subtract the terms

More Steps

Evaluate

35 x - x

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

(35 - 1) x

Subtract the numbers

34 x

34 x - 2

34 x - 2 = 6 x^{3} \times x - 16

Multiply

More Steps

Evaluate

6 x^{3} \times x

Multiply the terms with the same base by adding their exponents

6 x^{3 + 1}

Add the numbers

6 x^{4}

34 x - 2 = 6 x^{4} - 16

Move the expression to the left side

34 x - 2 - (6 x^{4} - 16) = 0

Subtract the terms

More Steps

Evaluate

34 x - 2 - (6 x^{4} - 16)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

34 x - 2 - 6 x^{4} + 16

Add the numbers

34 x + 14 - 6 x^{4}

34 x + 14 - 6 x^{4} = 0

Factor the expression

2 (17 x + 7 - 3 x^{4}) = 0

Divide both sides

17 x + 7 - 3 x^{4} = 0

Calculate

x \approx - 0.748092 - 1.566317 i x \approx - 0.406926 x \approx - 0.748092 + 1.566317 i x \approx 1.903109

Solution

x_{1} \approx - 0.748092 + 1.566317 i, x_{2} \approx - 0.406926, x_{3} \approx 1.903109, x_{4} \approx - 0.748092 - 1.566317 i

Show Solution

Solve the equation(The real numbers system)

Solve the equation(The complex numbers system)

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