x^2+0.28x=1.19

Simple and best practice solution for x^2+0.28x=1.19 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+0.28x=1.19 equation: 


Simplifying
x2 + 0.28x = 1.19

Reorder the terms:
0.28x + x2 = 1.19

Solving
0.28x + x2 = 1.19

Solving for variable 'x'.

Reorder the terms:
-1.19 + 0.28x + x2 = 1.19 + -1.19

Combine like terms: 1.19 + -1.19 = 0.00
-1.19 + 0.28x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '1.19' to each side of the equation.
-1.19 + 0.28x + 1.19 + x2 = 0.00 + 1.19

Reorder the terms:
-1.19 + 1.19 + 0.28x + x2 = 0.00 + 1.19

Combine like terms: -1.19 + 1.19 = 0.00
0.00 + 0.28x + x2 = 0.00 + 1.19
0.28x + x2 = 0.00 + 1.19

Combine like terms: 0.00 + 1.19 = 1.19
0.28x + x2 = 1.19

The x term is 0.28x.  Take half its coefficient (0.14).
Square it (0.0196) and add it to both sides.

Add '0.0196' to each side of the equation.
0.28x + 0.0196 + x2 = 1.19 + 0.0196

Reorder the terms:
0.0196 + 0.28x + x2 = 1.19 + 0.0196

Combine like terms: 1.19 + 0.0196 = 1.2096
0.0196 + 0.28x + x2 = 1.2096

Factor a perfect square on the left side:
(x + 0.14)(x + 0.14) = 1.2096

Calculate the square root of the right side: 1.099818167

Break this problem into two subproblems by setting 
(x + 0.14) equal to 1.099818167 and -1.099818167.


Subproblem 1
x + 0.14 = 1.099818167

Simplifying
x + 0.14 = 1.099818167

Reorder the terms:
0.14 + x = 1.099818167

Solving
0.14 + x = 1.099818167

Solving for variable 'x'.

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

Add '-0.14' to each side of the equation.
0.14 + -0.14 + x = 1.099818167 + -0.14

Combine like terms: 0.14 + -0.14 = 0.00
0.00 + x = 1.099818167 + -0.14
x = 1.099818167 + -0.14

Combine like terms: 1.099818167 + -0.14 = 0.959818167
x = 0.959818167

Simplifying
x = 0.959818167


Subproblem 2
x + 0.14 = -1.099818167

Simplifying
x + 0.14 = -1.099818167

Reorder the terms:
0.14 + x = -1.099818167

Solving
0.14 + x = -1.099818167

Solving for variable 'x'.

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

Add '-0.14' to each side of the equation.
0.14 + -0.14 + x = -1.099818167 + -0.14

Combine like terms: 0.14 + -0.14 = 0.00
0.00 + x = -1.099818167 + -0.14
x = -1.099818167 + -0.14

Combine like terms: -1.099818167 + -0.14 = -1.239818167
x = -1.239818167

Simplifying
x = -1.239818167


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.959818167, -1.239818167}

See similar equations:

| 9=-f | | .5(y+8)+5=.25(8y-14)-7 | | -y+16y= | | (-4p^3)(-4p^6)(-2p^9)= | | 2n=7n+10 | | 9z-25z= | | -7m+9=-10m | | 4(5+5x)=40 | | 10+8c+15=-2-40 | | 7(3x+8)=224 | | 2y=-6x+7 | | 6+1x=2x-3 | | 8x-(2x+3)=4x+1 | | 12+2w-8=20 | | x+2y+250=0 | | 4+6s=5s+6 | | 7(-5x+10)=105 | | 4n+7=10n+6 | | 3X+6=2(X+4)-1 | | 7n-1-2n=14 | | 6x-2(x-9)=4(x+1)+2 | | -4(-3-6x)=12 | | -15+7=n | | y+0.8=0.6(y+4) | | 7(4x-4)-5(3x-14)=4(3x+4)-7 | | 53=12(m-0.75)-16 | | 4x+16-2x+8=26 | | -7(7x+9)=-455 | | X+2.2=6.3 | | 7x^2=20x-12 | | 100=20+10x | | 0.32-v^2=0 |

Equations solver categories