3x^2+4x+7=0

Simple and best practice solution for 3x^2+4x+7=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 3x^2+4x+7=0 equation: 


Simplifying
3x2 + 4x + 7 = 0

Reorder the terms:
7 + 4x + 3x2 = 0

Solving
7 + 4x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2.333333333 + 1.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + 1.333333333x + -2.333333333 + x2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + 1.333333333x + x2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + 1.333333333x + x2 = 0 + -2.333333333
1.333333333x + x2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
1.333333333x + x2 = -2.333333333

The x term is 1.333333333x.  Take half its coefficient (0.6666666665).
Square it (0.4444444442) and add it to both sides.

Add '0.4444444442' to each side of the equation.
1.333333333x + 0.4444444442 + x2 = -2.333333333 + 0.4444444442

Reorder the terms:
0.4444444442 + 1.333333333x + x2 = -2.333333333 + 0.4444444442

Combine like terms: -2.333333333 + 0.4444444442 = -1.8888888888
0.4444444442 + 1.333333333x + x2 = -1.8888888888

Factor a perfect square on the left side:
(x + 0.6666666665)(x + 0.6666666665) = -1.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 16(2x-7)=4(8x+4) | | 5x+15+4x-5+x+20=180 | | 4x-0y=20 | | 7+4z-3=8z+9-5z | | 4x-0=20 | | 5(3y-1)-3(2y)=19 | | 9x+11y=4 | | 10(6)+5y=2 | | 2x+8+5x-2=90 | | 4(0)-y=20 | | 4x-y=20 | | 2x^2-3x-3=0 | | 7x-3x=24 | | -4+16-6x=46 | | 20t=-84 | | 3x^2-26=0 | | -8(2b+2)+(17b-2)=0 | | -.5x+.75=.875 | | 4.4q-4.5-3.5q=0.1q-4.1 | | 9x^2+9y^2-12x-24y=5 | | 14x+8-3=13x-3 | | 15x+9=5(3x+2) | | y=-.3333333333x+3 | | Ax+Fy=L | | 8x+4=3(2x+1)-x+8 | | 7(m-9)-6(2m-7)=6(m+8)+4 | | -x+2+10x=-2+5x+16 | | 6-2(4x+1)=2x-2(2x+7) | | x - x = 3+ 2x2x-1 x+1 1-x2 | | 5(t-3)+7t=6(2t+3)-12 | | 27x+3y=33 | | -1.9d=-11.78 |

Equations solver categories