Happy Holidays! =)
[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]
4x² + 6x = 10
Move 10 to the other side so we can factor the trinomial:
4x² + 6x - 10 = 0
Factor the GCF, or 2 out of the equation:
2(2x² + 3x - 5) = 0
Factor the terms inside of the parenthesis:
2(2x + 5)(x - 1) = 0
Disregard the coefficient of 2 and set each factor equal to 0:
2x + 5 = 0
2x = -5
x = -5/2
x - 1 = 0
x = 1
The values of x are -5/2 and 1.
