6x^2+4x-3=0

Simple and best practice solution for 6x^2+4x-3=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 6x^2+4x-3=0 equation: 


Simplifying
6x2 + 4x + -3 = 0

Reorder the terms:
-3 + 4x + 6x2 = 0

Solving
-3 + 4x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
-0.5 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + 0.6666666667x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + 0.6666666667x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.6666666667x + x2 = 0 + 0.5
0.6666666667x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
0.6666666667x + x2 = 0.5

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = 0.5 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = 0.5 + 0.1111111112

Combine like terms: 0.5 + 0.1111111112 = 0.6111111112
0.1111111112 + 0.6666666667x + x2 = 0.6111111112

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = 0.6111111112

Calculate the square root of the right side: 0.78173596

Break this problem into two subproblems by setting 
(x + 0.3333333334) equal to 0.78173596 and -0.78173596.


Subproblem 1
x + 0.3333333334 = 0.78173596

Simplifying
x + 0.3333333334 = 0.78173596

Reorder the terms:
0.3333333334 + x = 0.78173596

Solving
0.3333333334 + x = 0.78173596

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + x = 0.78173596 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + x = 0.78173596 + -0.3333333334
x = 0.78173596 + -0.3333333334

Combine like terms: 0.78173596 + -0.3333333334 = 0.4484026266
x = 0.4484026266

Simplifying
x = 0.4484026266


Subproblem 2
x + 0.3333333334 = -0.78173596

Simplifying
x + 0.3333333334 = -0.78173596

Reorder the terms:
0.3333333334 + x = -0.78173596

Solving
0.3333333334 + x = -0.78173596

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.3333333334' to each side of the equation.
0.3333333334 + -0.3333333334 + x = -0.78173596 + -0.3333333334

Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000
0.0000000000 + x = -0.78173596 + -0.3333333334
x = -0.78173596 + -0.3333333334

Combine like terms: -0.78173596 + -0.3333333334 = -1.1150692934
x = -1.1150692934

Simplifying
x = -1.1150692934


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.4484026266, -1.1150692934}

See similar equations:

| 2x-9(-5)=9 | | 6-2(-2)=x | | 6a-7ab+b-3ac+3bc-c-(8a+9ab-4b)-(-5ac+2bc-3c)= | | 18s^2+40st+22t^2=0 | | -5(4n+2)=15 | | pq+2pq= | | Y=(T+6) | | 6-2+2=x | | 6-2+1=x | | 6-2+0=x | | (4a+5c)(4a-5c)= | | (4x-3)*5-6x=-4(5+9x) | | 6-2-1= | | 4x^2-8x-92=0 | | 6-2-2= | | 3x+8y+27z=3 | | 5b^2-6b-30b+36=0 | | 15x-8=31x | | 12x^2=39x-9 | | 5b-6b-30b+36=0 | | 20x=8+18x | | 3x^2+12=22 | | 9(d+5)=3(d-3)+6a | | 2x-12=9x+7 | | .06x=1730 | | 10-19u+6u^2=0 | | 10-19+6u^2= | | 6x^2-78x+216=0 | | 28x+6=32x-6 | | 36x^2-60x= | | 15*120= | | 6-7u-3u^2=0 |

Equations solver categories