Given that 2x² + 6x + 4 = 36.

To solve this equation, we first need to rearrange it to set it equal to zero:

2x² + 6x + 4 - 36 = 0

This simplifies to:

2x² + 6x - 32 = 0

Now, we can factor the quadratic equation:

2x² + 6x - 32 = 0
2(x² + 3x - 16) = 0
2(x + 4)(x - 4) = 0

Setting each factor to zero gives us the solutions for x:

x + 4 = 0
x = -4

x - 4 = 0
x = 4

Therefore, the solutions to the equation 2x² + 6x + 4 = 36 are x = -4 and x = 4.

2x² 6x 4 = 36

2x² 6x 4 - 36 = 0

2x² 6x 32 = 0

2(x² 3x 16) = 0

x² 3x 16 = 0

(x 2)(x 8) = 0

x 2 = 0 or x 8 = 0

x = ±2 or x = ±8

The solutions are x = ±2 and x = ±8.