Solve for all values of xx by factoring.x, squared, plus, 5, x, plus, 1, equals, 5, x, plus, 2x 2 +5x+1=5x+2

Question

Equation:

x^2 + 5x + 1 = 5x + 2

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Sure, let's solve the equation step by step:

First, let's simplify the equation:

x^2 + 5x + 1 = 5x + 2

Subtract 5x from both sides:

x^2 + 1 = 2

Subtract 2 from both sides:

x^2 - 1 = 0

Now, let's factor the left side of the equation:

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

Setting each factor equal to zero gives the solutions to the equation:

x - 1 = 0 => x = 1

x + 1 = 0 => x = -1

So, the solutions to the equation x^2 + 5x + 1 = 5x + 2 are x = 1 and x = -1.

This problem has been solved

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