Solve d^2-12d-14=-6d

Evaluate

d^{2} - 12 d - 14 = - 6 d

Move the expression to the left side

d^{2} - 6 d - 14 = 0

Substitute a= 1,b= - 6 and c= - 14 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{6 \pm ( - 6 ) ^{2} - 4 ( - 14 )}{2}

Simplify the expression

More Steps

d = \frac{6 \pm 92}{2}

Simplify the radical expression

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d = \frac{6 \pm 2 23}{2}

Separate the equation into 2 possible cases

d = \frac{6 + 2 23}{2} d = \frac{6 - 2 23}{2}

Simplify the expression

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d = 3 + 23 d = \frac{6 - 2 23}{2}

Simplify the expression

More Steps

d = 3 + 23 d = 3 - 23

Solution

d_{1} = 3 - 23, d_{2} = 3 + 23

Alternative Form

d_{1} \approx - 1.795832, d_{2} \approx 7.795832

Solve the quadratic equation