Solve - 3x+2 (4x+2) < 2 (6x+1)

Hey

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

3x+2(4x+2)=2(6x+1)

Reorder the terms in parentheses

3x+(+8x+4)=2*(6x+1)

Remove unnecessary parentheses

+3x+8x+4=+2+*(+6x+1+)

Reorder the terms in parentheses

3x+8x+4=+(+12x+2)

Remove unnecessary parentheses

+3x+8x+4=+12x+2

We move all terms containing x to the left and all other terms to the right.

+3x+8x-12x=+2-4

We simplify left and right side of the equation.

-1x=-2

We divide both sides of the equation by -1 to get x.

x=2

Step-by-step explanation:

▓▓▓▓

▒▒▒▓▓

▒▒▒▒▒▓

▒▒▒▒▒▒▓

▒▒▒▒▒▒▓

▒▒▒▒▒▒▒▓

▒▒▒▒▒▒▒▓▓▓

▒▓▓▓▓▓▓░░░▓

▒▓░░░░▓░░░░▓

▓░░░░░░▓░▓░▓

▓░░░░░▓░░░▓

▓░░▓░░░▓▓▓▓

▒▓░░░░▓▒▒▒▒▓

▒▒▓▓▓▓▒▒▒▒▒▓

▒▒▒▒▒▒▒▒▓▓▓▓

▒▒▒▒▒▓▓▓▒▒▒▒▓

▒▒▒▒▓▒▒▒▒▒▒▒▒▓

▒▒▒▓▒▒▒▒▒▒▒▒▒▓

▒▒▓▒▒▒▒▒▒▒▒▒▒▒▓

▒▓▒▓▒▒▒▒▒▒▒▒▒▓

▒▓▒▓▓▓▓▓▓▓▓▓▓

▒▓▒▒▒▒▒▒▒▓

▒▒▓▒▒▒▒▒▓

░░░░░░░░░░░░░░░░░░░▄▀▐░░░▌

░░░░░░░░░░░░░░░░▄▀▀▒▐▒░░░▌

░░░░░▄▀▀▄░░░▄▄▀▀▒▒▒▒▌▒▒░░▌

░░░░▐▒░░░▀▄▀▒▒▒▒▒▒▒▒▒▒▒▒▒█

░░░░▌▒░░░░▒▀▄▒▒▒▒▒▒▒▒▒▒▒▒▒▀▄

░░░░▐▒░░░░░▒▒▒▒▒▒▒▒▒▌▒▐▒▒▒▒▒▀▄

░░░░▌▀▄░░▒▒▒▒▒▒▒▒▐▒▒▒▌▒▌▒▄▄▒▒▐

░░░▌▌▒▒▀▒▒▒▒▒▒▒▒▒▒▐▒▒▒▒▒█▄█▌▒▒▌

░▄▀▒▐▒▒▒▒▒▒▒▒▒▒▒▄▀█▌▒▒▒▒▒▀▀▒▒▐░░░▄

▀▒▒▒▒▌▒▒▒▒▒▒▒▄▒▐███▌▄▒▒▒▒▒▒▒▄▀▀▀▀

▒▒▒▒▒▐▒▒▒▒▒▄▀▒▒▒▀▀▀▒▒▒▒▄█▀░░▒▌▀▀▄▄

▒▒▒▒▒▒█▒▄▄▀▒▒▒▒▒▒▒▒▒▒▒░░▐▒▀▄▀▄░░░░▀

▒▒▒▒▒▒▒█▒▒▒▒▒▒▒▒▒▄▒▒▒▒▄▀▒▒▒▌░░▀▄

▒▒▒▒▒▒▒▒▀▄▒▒▒▒▒▒▒▒▀▀▀▀▒▒▒▄

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

answer: its the third option.

step-by-step explanation:

i just took the test.