Answer: It is a solution.
Explanation:
To see if -1 is a solution to the given equation, we will substitute -1 for x into the equation and see if it remains true. 5 does equal 5, so we find it is a solution. We can also do this by graphing, see attached. The graph intersects the x-axis at -1, so -1 is a solution.
Given:
3x² - 2x = -5x
Substitute:
3(-1)² - 2(-1) = -5(-1)
Square:
3(1) - 2(-1) = -5(-1)
Multiply:
3 + 2 = 5
Subtract:
5 = 5 ✓ -1 is a solution