Solve 8x^(2) 8=6-9x

Evaluate

8 x^{2} \times 8 = 6 - 9 x

Multiply the terms

64 x^{2} = 6 - 9 x

Move the expression to the left side

64 x^{2} - 6 + 9 x = 0

Rewrite in standard form

64 x^{2} + 9 x - 6 = 0

Substitute a= 64,b= 9 and c= - 6 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 9 \pm 9 ^{2} - 4 \times 64 ( - 6 )}{2 \times 64}

Simplify the expression

x = \frac{- 9 \pm 9 ^{2} - 4 \times 64 ( - 6 )}{128}

Simplify the expression

More Steps

x = \frac{- 9 \pm 1617}{128}

Simplify the radical expression

More Steps

x = \frac{- 9 \pm 7 33}{128}

Separate the equation into 2 possible cases

x = \frac{- 9 + 7 33}{128} x = \frac{- 9 - 7 33}{128}

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

x = \frac{- 9 + 7 33}{128} x = - \frac{9 + 7 33}{128}

Solution

x_{1} = - \frac{9 + 7 33}{128}, x_{2} = \frac{- 9 + 7 33}{128}

Alternative Form

x_{1} \approx - 0.384468, x_{2} \approx 0.243843

Solve the quadratic equation