Solve -4x^2(x^4)=-7x-(x 1)

Question

Solve the equation

x_{1} = 0, x_{2} = 52

Alternative Form

x_{1} = 0, x_{2} \approx 1.148698

Evaluate

- 4 x^{2} \times x^{4} = - 7 x - (x \times 1)

Multiply

More Steps

Evaluate

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

Multiply the terms with the same base by adding their exponents

- 4 x^{2 + 4}

Add the numbers

- 4 x^{6}

- 4 x^{6} = - 7 x - (x \times 1)

Simplify

More Steps

Evaluate

- 7 x - (x \times 1)

Any expression multiplied by 1 remains the same

- 7 x - x

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

(- 7 - 1) x

Subtract the numbers

- 8 x

- 4 x^{6} = - 8 x

Add or subtract both sides

- 4 x^{6} - (- 8 x) = 0

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

- 4 x^{6} + 8 x = 0

Factor the expression

4 x (- x^{5} + 2) = 0

Divide both sides

x (- x^{5} + 2) = 0

Separate the equation into 2 possible cases

x = 0 - x^{5} + 2 = 0

Solve the equation

More Steps

Evaluate

- x^{5} + 2 = 0

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

- x^{5} = 0 - 2

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

- x^{5} = - 2

Change the signs on both sides of the equation

x^{5} = 2

Take the 5 -th root on both sides of the equation

5 x^{5} = 52

Calculate

x = 52

x = 0 x = 52

Solution

x_{1} = 0, x_{2} = 52

Alternative Form

x_{1} = 0, x_{2} \approx 1.148698

Show Solution

Solve the equation

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