Solve -((x^2)/3) - ((2x 8)/7) = 4

Evaluate

- \frac{x ^{2}}{3} - (\frac{2 x \times 8}{7}) = 4

Simplify

More Steps

- \frac{x ^{2}}{3} - \frac{16 x}{7} = 4

Multiply both sides of the equation by LCD

(- \frac{x ^{2}}{3} - \frac{16 x}{7}) \times 21 = 4 \times 21

Simplify the equation

More Steps

- 7 x^{2} - 48 x = 4 \times 21

Simplify the equation

- 7 x^{2} - 48 x = 84

Move the expression to the left side

- 7 x^{2} - 48 x - 84 = 0

Multiply both sides

7 x^{2} + 48 x + 84 = 0

Substitute a= 7,b= 48 and c= 84 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 48 \pm 4 8 ^{2} - 4 \times 7 \times 84}{2 \times 7}

Simplify the expression

x = \frac{- 48 \pm 4 8 ^{2} - 4 \times 7 \times 84}{14}

Simplify the expression

More Steps

x = \frac{- 48 \pm - 48}{14}

Solution

x \in / R

Alternative Form

No real solution

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