Expanding both sides of the equation we get:
(x-3)*(2x+10) = (x+2)2x² + 10x - 6x - 30 = x² + 4x + 2x² + 4x - 30 = x² + 4x + 4
Combine like terms2x² + 4x - 30 = x² + 4x + 2x² + 4x - x² - 4x = 30 + x² = 34
Taking square root of both sidesx = ±√34
Therefore, the solutions to the equation are x = √34 and x = -√34.
Expanding both sides of the equation we get:
(x-3)*(2x+10) = (x+2)
2x² + 10x - 6x - 30 = x² + 4x +
2x² + 4x - 30 = x² + 4x + 4
Combine like terms
2x² + 4x - 30 = x² + 4x +
2x² + 4x - x² - 4x = 30 +
x² = 34
Taking square root of both sides
x = ±√34
Therefore, the solutions to the equation are x = √34 and x = -√34.