What are the solutions to the equation 14000=0.125x^2+20x+5000 ?

The solutions to the equation 14000=0.125x^2+20x+5000 are x=200,x=-360

Find the zeros of 14000=0.125x^2+20x+5000

The zeros of 14000=0.125x^2+20x+5000 are x=200,x=-360

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14000 = 0.125 x^{2} + 20 x + 5000

x = 200, x = - 360

Solution steps

14000 = 0.125 x^{2} + 20 x + 5000

Multiply both sides by

1000

14000000 = 125 x^{2} + 20000 x + 5000000

Switch sides

125 x^{2} + 20000 x + 5000000 = 14000000

Move

14000000

to the left side

125 x^{2} + 20000 x - 9000000 = 0

Factor

125 x^{2} + 20000 x - 9000000 : 125 (x - 200) (x + 360)

125 (x - 200) (x + 360) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 200 = 0 or x + 360 = 0

Solve

x - 200 = 0 : x = 200

Solve

x + 360 = 0 : x = - 360

The solutions to the quadratic equation are:

x = 200, x = - 360

a - 5 = - 12

(x - 7)^{2} - 9 = 0

(185) (130 - x) = (266.67) (45 - x)^{2}

3 x^{3} - 15 x^{2}

6 x - 1 < \frac{5 x - 1}{3}

What are the solutions to the equation 14000=0.125x^2+20x+5000 ?
The solutions to the equation 14000=0.125x^2+20x+5000 are x=200,x=-360
Find the zeros of 14000=0.125x^2+20x+5000
The zeros of 14000=0.125x^2+20x+5000 are x=200,x=-360