Solve 11x 8x^2-3=3x^2 6x 7

Question

Solve the equation

x = - \frac{3 4332}{38}

Alternative Form

x \approx - 0.428989

Evaluate

11 x \times 8 x^{2} - 3 = 3 x^{2} \times 6 x \times 7

Multiply

More Steps

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

Multiply

More Steps

88 x^{3} - 3 = 126 x^{3}

Move the expression to the left side

88 x^{3} - 3 - 126 x^{3} = 0

Subtract the terms

More Steps

- 38 x^{3} - 3 = 0

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

- 38 x^{3} = 0 + 3

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

- 38 x^{3} = 3

Change the signs on both sides of the equation

38 x^{3} = - 3

Divide both sides

\frac{38 x ^{3}}{38} = \frac{- 3}{38}

Divide the numbers

x^{3} = \frac{- 3}{38}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{3} = - \frac{3}{38}

Take the 3 -th root on both sides of the equation

3 x^{3} = 3 - \frac{3}{38}

Calculate

x = 3 - \frac{3}{38}

Solution

More Steps

x = - \frac{3 4332}{38}

Alternative Form

x \approx - 0.428989

Show Solution