Solve 6(7x 7)=7(6x^6)

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Example problems

Type your math problem... 6(7x 7)=7(6x^6)

Question

Solve the equation

x_{1} = 0, x_{2} = 57

Alternative Form

x_{1} = 0, x_{2} \approx 1.475773

Evaluate

6 (7 x \times 7) = 7 \times 6 x^{6}

Remove the parentheses

6 \times 7 x \times 7 = 7 \times 6 x^{6}

Simplify

6 \times 7 x = 6 x^{6}

Multiply the terms

42 x = 6 x^{6}

Add or subtract both sides

42 x - 6 x^{6} = 0

Factor the expression

6 x (7 - x^{5}) = 0

Divide both sides

x (7 - x^{5}) = 0

Separate the equation into 2 possible cases

x = 0 7 - x^{5} = 0

Solve the equation

More Steps

Evaluate

7 - x^{5} = 0

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

- x^{5} = 0 - 7

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

- x^{5} = - 7

Change the signs on both sides of the equation

x^{5} = 7

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

5 x^{5} = 57

Calculate

x = 57

x = 0 x = 57

Solution

x_{1} = 0, x_{2} = 57

Alternative Form

x_{1} = 0, x_{2} \approx 1.475773

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