What are the solutions to the equation -0.25x^2+177.5x=57.5x+14400 ?

The solutions to the equation -0.25x^2+177.5x=57.5x+14400 are x=240

Find the zeros of -0.25x^2+177.5x=57.5x+14400

The zeros of -0.25x^2+177.5x=57.5x+14400 are x=240

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- 0.25 x^{2} + 177.5 x = 57.5 x + 14400

x = 240

Solution steps

- 0.25 x^{2} + 177.5 x = 57.5 x + 14400

Multiply both sides by

100

- 25 x^{2} + 17750 x = 5750 x + 1440000

Move

1440000

to the left side

- 25 x^{2} + 17750 x - 1440000 = 5750 x

Move

5750 x

to the left side

- 25 x^{2} + 12000 x - 1440000 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12000 \pm 1200 0 ^{2} - 4 ( - 25 ) ( - 1440000 )}{2 ( - 25 )}

1200 0^{2} - 4 (- 25) (- 1440000) = 0

x_{1, 2} = \frac{- 12000 \pm 0}{2 ( - 25 )}

x = \frac{- 12000}{2 ( - 25 )}

\frac{- 12000}{2 ( - 25 )} = 240

x = 240

The solution to the quadratic equation is:

x = 240

\frac{2 ( x + 1 )}{6} = 3 x - 5

\frac{7 ^{2}}{7 ^{- 2}}

7 x - 2 = 4 x + 3

t^{2} + t + 1 = 0

(\frac{L}{2}) + (\frac{L}{2})

What are the solutions to the equation -0.25x^2+177.5x=57.5x+14400 ?
The solutions to the equation -0.25x^2+177.5x=57.5x+14400 are x=240
Find the zeros of -0.25x^2+177.5x=57.5x+14400
The zeros of -0.25x^2+177.5x=57.5x+14400 are x=240