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
Solve for all values of xx by factoring.
Equation:
x^2 + 5x + 1 = 5x + 2
Solution
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.
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