Solve 6x 7=2x^3 - ScanMath

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Type your math problem... 6x 7=2x^3

Question

Solve the equation

x_{1} = - 21, x_{2} = 0, x_{3} = 21

Alternative Form

x_{1} \approx - 4.582576, x_{2} = 0, x_{3} \approx 4.582576

Evaluate

6 x \times 7 = 2 x^{3}

Multiply the terms

42 x = 2 x^{3}

Add or subtract both sides

42 x - 2 x^{3} = 0

Factor the expression

2 x (21 - x^{2}) = 0

Divide both sides

x (21 - x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 21 - x^{2} = 0

Solve the equation

More Steps

Evaluate

21 - x^{2} = 0

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

- x^{2} = 0 - 21

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

- x^{2} = - 21

Change the signs on both sides of the equation

x^{2} = 21

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm 21

Separate the equation into 2 possible cases

x = 21 x = - 21

x = 0 x = 21 x = - 21

Solution

x_{1} = - 21, x_{2} = 0, x_{3} = 21

Alternative Form

x_{1} \approx - 4.582576, x_{2} = 0, x_{3} \approx 4.582576

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