(2x + 3)(3x + 1) = 11x + 30

Solve for x

Step-by-step explanation:

(2x + 3)(3x + 1) = 11x + 30

6x^2 + 2x + 9x + 3 = 11x + 30

6x^2 + 11x + 3 = 11x + 30

Subtract 11x from both sides. Subtract 3 from both sides.

6x^2 = 27

Divide both sides by 6

x^2 = 9/2

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15