Solve x (x-379)/5-15=1540

Evaluate

x \times \frac{x - 379}{5} - 15 = 1540

Multiply the terms

\frac{x ( x - 379 )}{5} - 15 = 1540

Multiply both sides of the equation by LCD

(\frac{x ( x - 379 )}{5} - 15) \times 5 = 1540 \times 5

Simplify the equation

More Steps

x^{2} - 379 x - 75 = 1540 \times 5

Simplify the equation

x^{2} - 379 x - 75 = 7700

Move the expression to the left side

x^{2} - 379 x - 75 - 7700 = 0

Subtract the numbers

x^{2} - 379 x - 7775 = 0

Substitute a= 1,b= - 379 and c= - 7775 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{379 \pm ( - 379 ) ^{2} - 4 ( - 7775 )}{2}

Simplify the expression

More Steps

x = \frac{379 \pm 37 9 ^{2} + 31100}{2}

Separate the equation into 2 possible cases

x = \frac{379 + 37 9 ^{2} + 31100}{2} x = \frac{379 - 37 9 ^{2} + 31100}{2}

Solution

x_{1} = \frac{379 - 37 9 ^{2} + 31100}{2}, x_{2} = \frac{379 + 37 9 ^{2} + 31100}{2}

Alternative Form

x_{1} \approx - 19.510167, x_{2} \approx 398.510167

X (x 379)/5 15=1540