x^2+1.4x+0.49=0.81

Simple and best practice solution for x^2+1.4x+0.49=0.81 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+1.4x+0.49=0.81 equation: 


Simplifying
x2 + 1.4x + 0.49 = 0.81

Reorder the terms:
0.49 + 1.4x + x2 = 0.81

Solving
0.49 + 1.4x + x2 = 0.81

Solving for variable 'x'.

Reorder the terms:
0.49 + -0.81 + 1.4x + x2 = 0.81 + -0.81

Combine like terms: 0.49 + -0.81 = -0.32
-0.32 + 1.4x + x2 = 0.81 + -0.81

Combine like terms: 0.81 + -0.81 = 0.00
-0.32 + 1.4x + x2 = 0.00

Begin completing the square.

Move the constant term to the right:

Add '0.32' to each side of the equation.
-0.32 + 1.4x + 0.32 + x2 = 0.00 + 0.32

Reorder the terms:
-0.32 + 0.32 + 1.4x + x2 = 0.00 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 1.4x + x2 = 0.00 + 0.32
1.4x + x2 = 0.00 + 0.32

Combine like terms: 0.00 + 0.32 = 0.32
1.4x + x2 = 0.32

The x term is 1.4x.  Take half its coefficient (0.7).
Square it (0.49) and add it to both sides.

Add '0.49' to each side of the equation.
1.4x + 0.49 + x2 = 0.32 + 0.49

Reorder the terms:
0.49 + 1.4x + x2 = 0.32 + 0.49

Combine like terms: 0.32 + 0.49 = 0.81
0.49 + 1.4x + x2 = 0.81

Factor a perfect square on the left side:
(x + 0.7)(x + 0.7) = 0.81

Calculate the square root of the right side: 0.9

Break this problem into two subproblems by setting 
(x + 0.7) equal to 0.9 and -0.9.


Subproblem 1
x + 0.7 = 0.9

Simplifying
x + 0.7 = 0.9

Reorder the terms:
0.7 + x = 0.9

Solving
0.7 + x = 0.9

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = 0.9 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = 0.9 + -0.7
x = 0.9 + -0.7

Combine like terms: 0.9 + -0.7 = 0.2
x = 0.2

Simplifying
x = 0.2


Subproblem 2
x + 0.7 = -0.9

Simplifying
x + 0.7 = -0.9

Reorder the terms:
0.7 + x = -0.9

Solving
0.7 + x = -0.9

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + x = -0.9 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + x = -0.9 + -0.7
x = -0.9 + -0.7

Combine like terms: -0.9 + -0.7 = -1.6
x = -1.6

Simplifying
x = -1.6


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.2, -1.6}

See similar equations:

| 12y=28+3y | | 5x+143=8x-8 | | -2x+14-9x+-1=0 | | 15sin^2x-2sinx-8=0 | | 3.2y=y+0.9+0.2 | | 25.12-12.48*2+10.65= | | X+11=5/8x+7 | | (-2/5)+(3x/20)+(-3/10)=(x/5)+(x^2/4)-1 | | -28=6(v-4)-8v | | (-2/5)+(3x/20)+(-3/10)=(x/5)+(x^2/4) | | 0=.25x^2+.05x-.6 | | 14x-12=9x+8 | | 77.4=9A | | x+(x+5)=39 | | 36(25+75)=89 | | 20x-18=8x+12 | | -6(4x+3)=6(-4x-4) | | 20-18=8x+12 | | 10(c+61/5)=-102 | | 3(3c-d)= | | (3x/2)+(1/4)(x-2)=10 | | 1200=300+2(x-500) | | 792=33Y | | 1/3g=-12 | | (x^8-27x^3+2)=0 | | 0.7H=0.112 | | 109-6x=12x+15 | | 3a+(4*4*4)=30a-8 | | -3x^2-x+30=0 | | 50/14= | | 5-7x=29-21x | | 33g+5=7g+4 |

Equations solver categories