Solve -5(3u-14) 2u=-17u-2

Evaluate

- 5 (3 u - 14) \times 2 u = - 17 u - 2

Multiply

More Steps

- 10 u (3 u - 14) = - 17 u - 2

Expand the expression

More Steps

- 30 u^{2} + 140 u = - 17 u - 2

Move the expression to the left side

- 30 u^{2} + 157 u + 2 = 0

Multiply both sides

30 u^{2} - 157 u - 2 = 0

Substitute a= 30,b= - 157 and c= - 2 into the quadratic formula u = \frac{- b \pm b ^{2} - 4 a c}{2 a}

u = \frac{157 \pm ( - 157 ) ^{2} - 4 \times 30 ( - 2 )}{2 \times 30}

Simplify the expression

u = \frac{157 \pm ( - 157 ) ^{2} - 4 \times 30 ( - 2 )}{60}

Simplify the expression

More Steps

u = \frac{157 \pm 24889}{60}

Separate the equation into 2 possible cases

u = \frac{157 + 24889}{60} u = \frac{157 - 24889}{60}

Solution

u_{1} = \frac{157 - 24889}{60}, u_{2} = \frac{157 + 24889}{60}

Alternative Form

u_{1} \approx - 0.012708, u_{2} \approx 5.246041

Solve the quadratic equation