Solve 36x^(2) 48x-60 x=-2

Question

Solve the equation

x_{1} = - \frac{1 + 2}{12}, x_{2} = \frac{- 1 + 2}{12}, x_{3} = \frac{1}{6}

Alternative Form

x_{1} \approx - 0.201184, x_{2} \approx 0.034518, x_{3} = 0.1 \dot{6}

Evaluate

36 x^{2} \times 48 x - 60 x = - 2

Multiply

More Steps

1728 x^{3} - 60 x = - 2

Move the expression to the left side

1728 x^{3} - 60 x - (- 2) = 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

1728 x^{3} - 60 x + 2 = 0

Factor the expression

2 (6 x - 1) (144 x^{2} + 24 x - 1) = 0

Divide both sides

(6 x - 1) (144 x^{2} + 24 x - 1) = 0

Separate the equation into 2 possible cases

6 x - 1 = 0 144 x^{2} + 24 x - 1 = 0

Solve the equation

More Steps

x = \frac{1}{6} 144 x^{2} + 24 x - 1 = 0

Solve the equation

More Steps

x = \frac{1}{6} x = \frac{- 1 + 2}{12} x = - \frac{1 + 2}{12}

Solution

x_{1} = - \frac{1 + 2}{12}, x_{2} = \frac{- 1 + 2}{12}, x_{3} = \frac{1}{6}

Alternative Form

x_{1} \approx - 0.201184, x_{2} \approx 0.034518, x_{3} = 0.1 \dot{6}

Show Solution

Solve the equation

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