Solve 4d^2+9d-2=4d

Evaluate

4 d^{2} + 9 d - 2 = 4 d

Move the expression to the left side

4 d^{2} + 5 d - 2 = 0

Substitute a= 4,b= 5 and c= - 2 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{- 5 \pm 5 ^{2} - 4 \times 4 ( - 2 )}{2 \times 4}

Simplify the expression

d = \frac{- 5 \pm 5 ^{2} - 4 \times 4 ( - 2 )}{8}

Simplify the expression

More Steps

d = \frac{- 5 \pm 57}{8}

Separate the equation into 2 possible cases

d = \frac{- 5 + 57}{8} d = \frac{- 5 - 57}{8}

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

d = \frac{- 5 + 57}{8} d = - \frac{5 + 57}{8}

Solution

d_{1} = - \frac{5 + 57}{8}, d_{2} = \frac{- 5 + 57}{8}

Alternative Form

d_{1} \approx - 1.568729, d_{2} \approx 0.318729

Solve the quadratic equation