x^2+3x-2.7=0

Simple and best practice solution for x^2+3x-2.7=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 x^2+3x-2.7=0 equation: 


Simplifying
x2 + 3x + -2.7 = 0

Reorder the terms:
-2.7 + 3x + x2 = 0

Solving
-2.7 + 3x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '2.7' to each side of the equation.
-2.7 + 3x + 2.7 + x2 = 0 + 2.7

Reorder the terms:
-2.7 + 2.7 + 3x + x2 = 0 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 3x + x2 = 0 + 2.7
3x + x2 = 0 + 2.7

Combine like terms: 0 + 2.7 = 2.7
3x + x2 = 2.7

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = 2.7 + 2.25

Reorder the terms:
2.25 + 3x + x2 = 2.7 + 2.25

Combine like terms: 2.7 + 2.25 = 4.95
2.25 + 3x + x2 = 4.95

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = 4.95

Calculate the square root of the right side: 2.224859546

Break this problem into two subproblems by setting 
(x + 1.5) equal to 2.224859546 and -2.224859546.


Subproblem 1
x + 1.5 = 2.224859546

Simplifying
x + 1.5 = 2.224859546

Reorder the terms:
1.5 + x = 2.224859546

Solving
1.5 + x = 2.224859546

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = 2.224859546 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = 2.224859546 + -1.5
x = 2.224859546 + -1.5

Combine like terms: 2.224859546 + -1.5 = 0.724859546
x = 0.724859546

Simplifying
x = 0.724859546


Subproblem 2
x + 1.5 = -2.224859546

Simplifying
x + 1.5 = -2.224859546

Reorder the terms:
1.5 + x = -2.224859546

Solving
1.5 + x = -2.224859546

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + x = -2.224859546 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + x = -2.224859546 + -1.5
x = -2.224859546 + -1.5

Combine like terms: -2.224859546 + -1.5 = -3.724859546
x = -3.724859546

Simplifying
x = -3.724859546


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.724859546, -3.724859546}

See similar equations:

| 4-4x=4x+40 | | 2=8x+5 | | 4y-22= | | 2x-(4+x)=-22 | | -59=5+8x | | 2x+3(2x+7)=11 | | Y/-7-3=4 | | 5.7X=30 | | 54=6(6x-3) | | 5(3+4x)-5=50 | | 10x-63= | | (x+2)+2x+4= | | 7m-28=-8+2m | | 8p-3=7+3p | | 10r+4=48 | | 233/87=x | | (X+4)(x+5)(x+6)(x+7)=1680 | | 5c+1=-7 | | 5x-14=61 | | 28=60n | | 6-5x=14+5x | | 5+4c=1 | | 6x=3(8x+42) | | 7e-23=x | | 4+5x=-14 | | 9x+18(x-85)=3600 | | -7(x+1)=5-x | | 108+12x=72 | | (6x+5)(4x+3)=3x(8x+11) | | 2ln(2x-1)-9=0 | | 5t^2-19t+25=0 | | 9x-133=4x-13 |

Equations solver categories