Solve 4 -11x - 36 = -2x^27

Evaluate

4 - 11 x - 36 = - 2 x^{2} \times 7

Subtract the numbers

- 32 - 11 x = - 2 x^{2} \times 7

Multiply the terms

- 32 - 11 x = - 14 x^{2}

Swap the sides

- 14 x^{2} = - 32 - 11 x

Move the expression to the left side

- 14 x^{2} + 32 + 11 x = 0

Rewrite in standard form

- 14 x^{2} + 11 x + 32 = 0

Multiply both sides

14 x^{2} - 11 x - 32 = 0

Substitute a= 14,b= - 11 and c= - 32 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{11 \pm ( - 11 ) ^{2} - 4 \times 14 ( - 32 )}{2 \times 14}

Simplify the expression

x = \frac{11 \pm ( - 11 ) ^{2} - 4 \times 14 ( - 32 )}{28}

Simplify the expression

More Steps

x = \frac{11 \pm 1913}{28}

Separate the equation into 2 possible cases

x = \frac{11 + 1913}{28} x = \frac{11 - 1913}{28}

Solution

x_{1} = \frac{11 - 1913}{28}, x_{2} = \frac{11 + 1913}{28}

Alternative Form

x_{1} \approx - 1.169209, x_{2} \approx 1.954923

Solve the quadratic equation