Question

(5x+3)^2=5x+3 algebra​

Answer 1

Ответ:

{-0.4;-0.6}

Пошаговое объяснение:

(5x+3)^2=5x+3

(5x+3)^2-(5x+3)=0

(5x+3)(5x+3-1)=0

(5x+3)(5x+2)=0

5x+3=0 ; x=-3/5 ; x=-0.6

5x+2=0;  x=-2/5; x=-0.4

Answer 2

To solve the equation $(5x + 3)^2 = 5x + 3$, you can follow these steps:

1. Expand the left side of the equation by squaring the binomial $(5x + 3)^2$: $(5x + 3)^2 = (5x + 3)(5x + 3) = 25x^2 + 30x + 9$

So, the equation becomes: $25x^2 + 30x + 9 = 5x + 3$

2. Now, let's move all the terms to one side of the equation to set it equal to zero: $25x^2 + 30x + 9 - 5x - 3 = 0$

3. Combine like terms on the left side of the equation: $25x^2 + 25x + 6 = 0$

4. To solve this quadratic equation, you can factor it or use the quadratic formula. In this case, factoring is relatively straightforward: $25x^2 + 25x + 6 = 0$ $(5x + 2)(5x + 3) = 0$

Now, set each factor equal to zero and solve for x:

First factor: $5x + 2 = 0$ $5x = -2$ $x = -2/5$

Second factor: $5x + 3 = 0$ $5x = -3$ $x = -3/5$

So, the solutions to the equation $(5x + 3)^2 = 5x + 3$ are $x = -2/5$ and $x = -3/5$.