What are the solutions to the equation x=0.5*0.0005(-(400000*x-5)-0.8)^2 ?

The solutions to the equation x=0.5*0.0005(-(400000*x-5)-0.8)^2 are x= 841/80000000

Find the zeros of x=0.5*0.0005(-(400000*x-5)-0.8)^2

The zeros of x=0.5*0.0005(-(400000*x-5)-0.8)^2 are x= 841/80000000

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x = 0.5 \cdot 0.0005 (- (400000 \cdot x - 5) - 0.8)^{2}

x = \frac{841}{80000000}

Decimal Notation

x = 0.0000105125

Solution steps

x = 0.5 \cdot 0.0005 (- (400000 x - 5) - 0.8)^{2}

Expand

0.5 \cdot 0.0005 (- (400000 x - 5) - 0.8)^{2} : 40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441

x = 40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441

Switch sides

40000 0^{2} \cdot 0.00025 x^{2} - 840 x + 0.00441 = x

Move

x

to the left side

40000 0^{2} \cdot 0.00025 x^{2} - 841 x + 0.00441 = 0

Divide both sides by

40000000

\frac{40000 0 ^{2} \cdot 0.00025 x ^{2}}{40000000} - \frac{841 x}{40000000} + \frac{0.00441}{40000000} = \frac{0}{40000000}

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - \frac{841 x}{40000000} + \frac{0.00441}{40000000} = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - \frac{841}{40000000} ) \pm ( - \frac{841}{40000000} ) ^{2} - 4 \cdot 1 \cdot \frac{0.00441}{40000000}}{2 \cdot 1}

(- \frac{841}{40000000})^{2} - 4 \cdot 1 \cdot \frac{0.00441}{40000000} = \frac{707281}{4000000 0 ^{2}} - \frac{0.01764}{40000000}

x_{1, 2} = \frac{- ( - \frac{841}{40000000} ) \pm 0}{2 \cdot 1}

x = \frac{- ( - \frac{841}{40000000} )}{2 \cdot 1}

\frac{- ( - \frac{841}{40000000} )}{2 \cdot 1} = \frac{841}{80000000}

x = \frac{841}{80000000}

The solution to the quadratic equation is:

x = \frac{841}{80000000}

x (8 - 9 x) \leq 0

2 x^{2} + x < 15

- \frac{8}{9} v \leq 6

x + \frac{1}{2} = \frac{x}{2} - \frac{2}{3}

4 (v - 3) - 6 v = - 2 (v + 6)

What are the solutions to the equation x=0.5*0.0005(-(400000*x-5)-0.8)^2 ?
The solutions to the equation x=0.5*0.0005(-(400000*x-5)-0.8)^2 are x= 841/80000000
Find the zeros of x=0.5*0.0005(-(400000*x-5)-0.8)^2
The zeros of x=0.5*0.0005(-(400000*x-5)-0.8)^2 are x= 841/80000000