What are the solutions to the equation a(x)=-x(x-80) ?

The solutions to the equation a(x)=-x(x-80) are x=0,x=-a+80

Find the zeros of a(x)=-x(x-80)

The zeros of a(x)=-x(x-80) are x=0,x=-a+80

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a (x) = - x (x - 80)

x = 0, x = - a + 80

Solution steps

a (x) = - x (x - 80)

Move

x (x - 80)

to the left side

a x + x (x - 80) = 0

Factor

a x + x (x - 80) : x (a - 80 + x)

x (a - 80 + x) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or a - 80 + x = 0

Solve

a - 80 + x = 0 : x = - a + 80

The solutions to the quadratic equation are:

x = 0, x = - a + 80

2 x^{2} + 20 x + 42 = 0

0 = t^{2} - 5 t + 6

x, 5 - x^{2} + 4 y^{3} = 7 y

4 x^{2} - 12 x - 3 = 0

- 2 x^{2} + 4 = 12

What are the solutions to the equation a(x)=-x(x-80) ?
The solutions to the equation a(x)=-x(x-80) are x=0,x=-a+80
Find the zeros of a(x)=-x(x-80)
The zeros of a(x)=-x(x-80) are x=0,x=-a+80