What are the solutions to the equation solvefor x,26406.25=(25-2x)(1000+50x) ?

The solutions to the equation solvefor x,26406.25=(25-2x)(1000+50x) are x=-15/4

Find the zeros of solvefor x,26406.25=(25-2x)(1000+50x)

The zeros of solvefor x,26406.25=(25-2x)(1000+50x) are x=-15/4

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x, 26406.25 = (25 - 2 x) (1000 + 50 x)

x = - \frac{15}{4}

Decimal Notation

x = - 3.75

Solution steps

26406.25 = (25 - 2 x) (1000 + 50 x)

Multiply both sides by

100

2640625 = (25 - 2 x) (1000 + 50 x) \cdot 100

Expand

(25 - 2 x) (1000 + 50 x) \cdot 100 : 2500000 - 75000 x - 10000 x^{2}

2640625 = 2500000 - 75000 x - 10000 x^{2}

Switch sides

2500000 - 75000 x - 10000 x^{2} = 2640625

Move

2640625

to the left side

- 10000 x^{2} - 75000 x - 140625 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 75000 ) \pm ( - 75000 ) ^{2} - 4 ( - 10000 ) ( - 140625 )}{2 ( - 10000 )}

(- 75000)^{2} - 4 (- 10000) (- 140625) = 7500 0^{2} - 5625000000

x_{1, 2} = \frac{- ( - 75000 ) \pm 0}{2 ( - 10000 )}

x = \frac{- ( - 75000 )}{2 ( - 10000 )}

\frac{- ( - 75000 )}{2 ( - 10000 )} = - \frac{15}{4}

x = - \frac{15}{4}

The solution to the quadratic equation is:

x = - \frac{15}{4}

y^{2} + 7 y + 6 = 0

3 (x + 5)^{2} = 0

2 n^{2} - 11 n - 13 = 0

b^{2} + 5 b = 0

- 3 x^{2} - 70 x + 1335 = 0

What are the solutions to the equation solvefor x,26406.25=(25-2x)(1000+50x) ?
The solutions to the equation solvefor x,26406.25=(25-2x)(1000+50x) are x=-15/4
Find the zeros of solvefor x,26406.25=(25-2x)(1000+50x)
The zeros of solvefor x,26406.25=(25-2x)(1000+50x) are x=-15/4