Answer:
To solve the quadratic equation "2x² + 7x + 5 = -3x + 5" by factoring, we need to rearrange the equation to set it equal to zero. First, let's combine like terms on the left side of the equation:
2x² + 7x + 5 + 3x - 5 = 0
This simplifies to:
2x² + 10x = 0
Now, we can factor out the common term, 2x:
2x(x + 5) = 0
Setting each factor equal to zero gives us the solutions to the equation:
2x = 0 or x + 5 = 0
Solving for x, we get:
x = 0 or x = -5
Therefore, the solutions to the quadratic equation "2x² + 7x + 5 = -3x + 5" by factoring are x = 0 and x = -5.
