Solve 4x^2 = 32 - 32x

Evaluate

4 x^{2} = 32 - 32 x

Move the expression to the left side

4 x^{2} - 32 + 32 x = 0

Rewrite in standard form

4 x^{2} + 32 x - 32 = 0

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

x = \frac{- 32 \pm 3 2 ^{2} - 4 \times 4 ( - 32 )}{2 \times 4}

Simplify the expression

x = \frac{- 32 \pm 3 2 ^{2} - 4 \times 4 ( - 32 )}{8}

Simplify the expression

More Steps

x = \frac{- 32 \pm 1536}{8}

Simplify the radical expression

More Steps

x = \frac{- 32 \pm 16 6}{8}

Separate the equation into 2 possible cases

x = \frac{- 32 + 16 6}{8} x = \frac{- 32 - 16 6}{8}

Simplify the expression

More Steps

x = - 4 + 26 x = \frac{- 32 - 16 6}{8}

Simplify the expression

More Steps

x = - 4 + 26 x = - 4 - 26

Solution

x_{1} = - 4 - 26, x_{2} = - 4 + 26

Alternative Form

x_{1} \approx - 8.898979, x_{2} \approx 0.898979

Solve the quadratic equation