Solve 14=4(-3g-19) 18g

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

g_{1} = - \frac{57 + 2 807}{18}, g_{2} = \frac{- 57 + 2 807}{18}

Alternative Form

g_{1} \approx - 6.323083, g_{2} \approx - 0.010251

Evaluate

14 = 4 (- 3 g - 19) \times 18 g

Multiply

More Steps

14 = 72 g (- 3 g - 19)

Swap the sides

72 g (- 3 g - 19) = 14

Expand the expression

More Steps

- 216 g^{2} - 1368 g = 14

Move the expression to the left side

- 216 g^{2} - 1368 g - 14 = 0

Multiply both sides

216 g^{2} + 1368 g + 14 = 0

Substitute a= 216,b= 1368 and c= 14 into the quadratic formula g = \frac{- b \pm b ^{2} - 4 a c}{2 a}

g = \frac{- 1368 \pm 136 8 ^{2} - 4 \times 216 \times 14}{2 \times 216}

Simplify the expression

g = \frac{- 1368 \pm 136 8 ^{2} - 4 \times 216 \times 14}{432}

Simplify the expression

More Steps

g = \frac{- 1368 \pm 136 8 ^{2} - 12096}{432}

Simplify the radical expression

More Steps

g = \frac{- 1368 \pm 48 807}{432}

Separate the equation into 2 possible cases

g = \frac{- 1368 + 48 807}{432} g = \frac{- 1368 - 48 807}{432}

Simplify the expression

More Steps

g = \frac{- 57 + 2 807}{18} g = \frac{- 1368 - 48 807}{432}

Simplify the expression

More Steps

g = \frac{- 57 + 2 807}{18} g = - \frac{57 + 2 807}{18}

Solution

g_{1} = - \frac{57 + 2 807}{18}, g_{2} = \frac{- 57 + 2 807}{18}

Alternative Form

g_{1} \approx - 6.323083, g_{2} \approx - 0.010251

Show Solution