Solve -15=3(d-5) 9d

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

d_{1} = \frac{15 - 205}{6}, d_{2} = \frac{15 + 205}{6}

Alternative Form

d_{1} \approx 0.113696, d_{2} \approx 4.886304

Evaluate

- 15 = 3 (d - 5) \times 9 d

Multiply

More Steps

- 15 = 27 d (d - 5)

Swap the sides

27 d (d - 5) = - 15

Expand the expression

More Steps

27 d^{2} - 135 d = - 15

Move the expression to the left side

27 d^{2} - 135 d + 15 = 0

Substitute a= 27,b= - 135 and c= 15 into the quadratic formula d = \frac{- b \pm b ^{2} - 4 a c}{2 a}

d = \frac{135 \pm ( - 135 ) ^{2} - 4 \times 27 \times 15}{2 \times 27}

Simplify the expression

d = \frac{135 \pm ( - 135 ) ^{2} - 4 \times 27 \times 15}{54}

Simplify the expression

More Steps

d = \frac{135 \pm 16605}{54}

Simplify the radical expression

More Steps

d = \frac{135 \pm 9 205}{54}

Separate the equation into 2 possible cases

d = \frac{135 + 9 205}{54} d = \frac{135 - 9 205}{54}

Simplify the expression

More Steps

d = \frac{15 + 205}{6} d = \frac{135 - 9 205}{54}

Simplify the expression

More Steps

d = \frac{15 + 205}{6} d = \frac{15 - 205}{6}

Solution

d_{1} = \frac{15 - 205}{6}, d_{2} = \frac{15 + 205}{6}

Alternative Form

d_{1} \approx 0.113696, d_{2} \approx 4.886304

Show Solution