8x^2+16x+12=0

Simple and best practice solution for 8x^2+16x+12=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 8x^2+16x+12=0 equation:


Simplifying
8x2 + 16x + 12 = 0

Reorder the terms:
12 + 16x + 8x2 = 0

Solving
12 + 16x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(3 + 4x + 2x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(3 + 4x + 2x2)' equal to zero and attempt to solve: Simplifying 3 + 4x + 2x2 = 0 Solving 3 + 4x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + 2x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 2x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 2x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 2x + x2 = 0 + -1.5 2x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 2x + x2 = -1.5 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -1.5 + 1 Reorder the terms: 1 + 2x + x2 = -1.5 + 1 Combine like terms: -1.5 + 1 = -0.5 1 + 2x + x2 = -0.5 Factor a perfect square on the left side: (x + 1)(x + 1) = -0.5 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

See similar equations:

| 3v+2=-16 | | (8m-6)(6m+2)= | | 49v^4-64v^2g^4= | | 32m^2+20m-3=0 | | .5a^2+a-4=0 | | -16t^2+368t+12=1228 | | 9x^4-28x^2+3=0 | | 3x^3+15c^2-18c=0 | | m^4-13m^2+36=0 | | 4(3x-8)-3=4(x-5)+9 | | 21(y+2)=3(6y+7) | | 1x^3+49x=0 | | 4(y+8)=3y | | 1.6y-8y+9=4.3q-2.9q+1.6 | | 7X+9Y=14 | | -6y+2=-2(4y+8) | | 4x-(2x+8)=3x-41 | | 20a^2-17a=63 | | (b+11)(b-9)= | | v^2+18v=0 | | 12+2b=2+5b | | 49x^2-56xy+16y^2= | | 3y-9-4-y=2y-2 | | (3n^2+1)+(8n^2-8)=0 | | (5a+5)(5a-5)= | | 8x^3+64= | | 9x-22=67 | | 3=5x+9 | | 3-(9x+4)=5[(6x-4)-(x-8)] | | 4ln(6x)=20 | | 3-2x-8x^2= | | 2x^3+16=0 |

Equations solver categories