What are the solutions to the equation 5x(x-2021)+x-2021=0 ?

The solutions to the equation 5x(x-2021)+x-2021=0 are x=-1/5 ,x=2021

Find the zeros of 5x(x-2021)+x-2021=0

The zeros of 5x(x-2021)+x-2021=0 are x=-1/5 ,x=2021

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5 x (x - 2021) + x - 2021 = 0

x = - \frac{1}{5}, x = 2021

Decimal Notation

x = - 0.2, x = 2021

Solution steps

5 x (x - 2021) + x - 2021 = 0

Expand

5 x (x - 2021) + x - 2021 : 5 x^{2} - 10104 x - 2021

5 x^{2} - 10104 x - 2021 = 0

Factor

5 x^{2} - 10104 x - 2021 : (5 x + 1) (x - 2021)

(5 x + 1) (x - 2021) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x + 1 = 0 or x - 2021 = 0

Solve

5 x + 1 = 0 : x = - \frac{1}{5}

Solve

x - 2021 = 0 : x = 2021

The solutions to the quadratic equation are:

x = - \frac{1}{5}, x = 2021

x = 10 (4.7 - x)^{2}

x, x^{2} + 4 x y + 16 x^{2} = 0

(3 x - 2)^{2} = 121

5 \frac{( x - 2 ) ^{2}}{4} = 5

2 m^{2} + 7 m - 30 = 0

What are the solutions to the equation 5x(x-2021)+x-2021=0 ?
The solutions to the equation 5x(x-2021)+x-2021=0 are x=-1/5 ,x=2021
Find the zeros of 5x(x-2021)+x-2021=0
The zeros of 5x(x-2021)+x-2021=0 are x=-1/5 ,x=2021