-3x^2+2.6x+0.95=0

Simple and best practice solution for -3x^2+2.6x+0.95=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+2.6x+0.95=0 equation: 


Simplifying
-3x2 + 2.6x + 0.95 = 0

Reorder the terms:
0.95 + 2.6x + -3x2 = 0

Solving
0.95 + 2.6x + -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'.
-0.3166666667 + -0.8666666667x + x2 = 0

Move the constant term to the right:

Add '0.3166666667' to each side of the equation.
-0.3166666667 + -0.8666666667x + 0.3166666667 + x2 = 0 + 0.3166666667

Reorder the terms:
-0.3166666667 + 0.3166666667 + -0.8666666667x + x2 = 0 + 0.3166666667

Combine like terms: -0.3166666667 + 0.3166666667 = 0.0000000000
0.0000000000 + -0.8666666667x + x2 = 0 + 0.3166666667
-0.8666666667x + x2 = 0 + 0.3166666667

Combine like terms: 0 + 0.3166666667 = 0.3166666667
-0.8666666667x + x2 = 0.3166666667

The x term is -0.8666666667x.  Take half its coefficient (-0.4333333334).
Square it (0.1877777778) and add it to both sides.

Add '0.1877777778' to each side of the equation.
-0.8666666667x + 0.1877777778 + x2 = 0.3166666667 + 0.1877777778

Reorder the terms:
0.1877777778 + -0.8666666667x + x2 = 0.3166666667 + 0.1877777778

Combine like terms: 0.3166666667 + 0.1877777778 = 0.5044444445
0.1877777778 + -0.8666666667x + x2 = 0.5044444445

Factor a perfect square on the left side:
(x + -0.4333333334)(x + -0.4333333334) = 0.5044444445

Calculate the square root of the right side: 0.710242525

Break this problem into two subproblems by setting 
(x + -0.4333333334) equal to 0.710242525 and -0.710242525.


Subproblem 1
x + -0.4333333334 = 0.710242525

Simplifying
x + -0.4333333334 = 0.710242525

Reorder the terms:
-0.4333333334 + x = 0.710242525

Solving
-0.4333333334 + x = 0.710242525

Solving for variable 'x'.

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

Add '0.4333333334' to each side of the equation.
-0.4333333334 + 0.4333333334 + x = 0.710242525 + 0.4333333334

Combine like terms: -0.4333333334 + 0.4333333334 = 0.0000000000
0.0000000000 + x = 0.710242525 + 0.4333333334
x = 0.710242525 + 0.4333333334

Combine like terms: 0.710242525 + 0.4333333334 = 1.1435758584
x = 1.1435758584

Simplifying
x = 1.1435758584


Subproblem 2
x + -0.4333333334 = -0.710242525

Simplifying
x + -0.4333333334 = -0.710242525

Reorder the terms:
-0.4333333334 + x = -0.710242525

Solving
-0.4333333334 + x = -0.710242525

Solving for variable 'x'.

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

Add '0.4333333334' to each side of the equation.
-0.4333333334 + 0.4333333334 + x = -0.710242525 + 0.4333333334

Combine like terms: -0.4333333334 + 0.4333333334 = 0.0000000000
0.0000000000 + x = -0.710242525 + 0.4333333334
x = -0.710242525 + 0.4333333334

Combine like terms: -0.710242525 + 0.4333333334 = -0.2769091916
x = -0.2769091916

Simplifying
x = -0.2769091916


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.1435758584, -0.2769091916}

See similar equations:

| 2xy(3xy)= | | y+8=.625(x-9) | | 16x^2=18x-1 | | -10-3x=20 | | 14=-4-3x | | -7-3x=-16 | | 5y=-8x+2 | | 0.67*0.3= | | -10=2-4x | | 0=1755-6q+q^2 | | 3y+x=4x+y-10 | | 12=-8+10x | | -6+2x=12 | | -13=8+3x | | 180=3a+(2a-25) | | 12=8-2x | | -17=-5-3x | | -19=6-5x | | 9+2x=-11 | | 3d-6=5d+6 | | 0=0.98b+0.02-b | | -2+7x=-16 | | -4d-6+7=5d+6 | | 5=3x-2x+1 | | 14=-4+3x | | 2(q-2)+2=5q-7-2q | | 180=4y+x-5+4x+y+10 | | 1.8+1.9=-1.7 | | 2(1x+4)=3(x-2) | | M-4.5=12 | | -5g-(11-2g)=-(g+g)+5 | | Z+18=54 |

Equations solver categories