Solve -7-2u 7=3(-u-10) 4u

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

u_{1} = - \frac{53 + 2893}{12}, u_{2} = \frac{- 53 + 2893}{12}

Alternative Form

u_{1} \approx - 8.898885, u_{2} \approx 0.065551

Evaluate

- 7 - 2 u \times 7 = 3 (- u - 10) \times 4 u

Multiply the terms

- 7 - 14 u = 3 (- u - 10) \times 4 u

Multiply

More Steps

- 7 - 14 u = 12 u (- u - 10)

Swap the sides

12 u (- u - 10) = - 7 - 14 u

Expand the expression

More Steps

- 12 u^{2} - 120 u = - 7 - 14 u

Move the expression to the left side

- 12 u^{2} - 106 u + 7 = 0

Multiply both sides

12 u^{2} + 106 u - 7 = 0

Substitute a= 12,b= 106 and c= - 7 into the quadratic formula u = \frac{- b \pm b ^{2} - 4 a c}{2 a}

u = \frac{- 106 \pm 10 6 ^{2} - 4 \times 12 ( - 7 )}{2 \times 12}

Simplify the expression

u = \frac{- 106 \pm 10 6 ^{2} - 4 \times 12 ( - 7 )}{24}

Simplify the expression

More Steps

u = \frac{- 106 \pm 11572}{24}

Simplify the radical expression

More Steps

u = \frac{- 106 \pm 2 2893}{24}

Separate the equation into 2 possible cases

u = \frac{- 106 + 2 2893}{24} u = \frac{- 106 - 2 2893}{24}

Simplify the expression

More Steps

u = \frac{- 53 + 2893}{12} u = \frac{- 106 - 2 2893}{24}

Simplify the expression

More Steps

u = \frac{- 53 + 2893}{12} u = - \frac{53 + 2893}{12}

Solution

u_{1} = - \frac{53 + 2893}{12}, u_{2} = \frac{- 53 + 2893}{12}

Alternative Form

u_{1} \approx - 8.898885, u_{2} \approx 0.065551

Show Solution