4x^2=x^2-.14x+.49

Simple and best practice solution for 4x^2=x^2-.14x+.49 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 4x^2=x^2-.14x+.49 equation:


Simplifying
4x2 = x2 + -0.14x + 0.49

Reorder the terms:
4x2 = 0.49 + -0.14x + x2

Solving
4x2 = 0.49 + -0.14x + x2

Solving for variable 'x'.

Reorder the terms:
-0.49 + 0.14x + 4x2 + -1x2 = 0.49 + -0.14x + x2 + -0.49 + 0.14x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-0.49 + 0.14x + 3x2 = 0.49 + -0.14x + x2 + -0.49 + 0.14x + -1x2

Reorder the terms:
-0.49 + 0.14x + 3x2 = 0.49 + -0.49 + -0.14x + 0.14x + x2 + -1x2

Combine like terms: 0.49 + -0.49 = 0.00
-0.49 + 0.14x + 3x2 = 0.00 + -0.14x + 0.14x + x2 + -1x2
-0.49 + 0.14x + 3x2 = -0.14x + 0.14x + x2 + -1x2

Combine like terms: -0.14x + 0.14x = 0.00
-0.49 + 0.14x + 3x2 = 0.00 + x2 + -1x2
-0.49 + 0.14x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-0.49 + 0.14x + 3x2 = 0

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

Divide each side by '3'.
-0.1633333333 + 0.04666666667x + x2 = 0

Move the constant term to the right:

Add '0.1633333333' to each side of the equation.
-0.1633333333 + 0.04666666667x + 0.1633333333 + x2 = 0 + 0.1633333333

Reorder the terms:
-0.1633333333 + 0.1633333333 + 0.04666666667x + x2 = 0 + 0.1633333333

Combine like terms: -0.1633333333 + 0.1633333333 = 0.0000000000
0.0000000000 + 0.04666666667x + x2 = 0 + 0.1633333333
0.04666666667x + x2 = 0 + 0.1633333333

Combine like terms: 0 + 0.1633333333 = 0.1633333333
0.04666666667x + x2 = 0.1633333333

The x term is 0.04666666667x.  Take half its coefficient (0.02333333334).
Square it (0.0005444444448) and add it to both sides.

Add '0.0005444444448' to each side of the equation.
0.04666666667x + 0.0005444444448 + x2 = 0.1633333333 + 0.0005444444448

Reorder the terms:
0.0005444444448 + 0.04666666667x + x2 = 0.1633333333 + 0.0005444444448

Combine like terms: 0.1633333333 + 0.0005444444448 = 0.1638777777448
0.0005444444448 + 0.04666666667x + x2 = 0.1638777777448

Factor a perfect square on the left side:
(x + 0.02333333334)(x + 0.02333333334) = 0.1638777777448

Calculate the square root of the right side: 0.404818203

Break this problem into two subproblems by setting 
(x + 0.02333333334) equal to 0.404818203 and -0.404818203.


Subproblem 1
x + 0.02333333334 = 0.404818203

Simplifying
x + 0.02333333334 = 0.404818203

Reorder the terms:
0.02333333334 + x = 0.404818203

Solving
0.02333333334 + x = 0.404818203

Solving for variable 'x'.

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

Add '-0.02333333334' to each side of the equation.
0.02333333334 + -0.02333333334 + x = 0.404818203 + -0.02333333334

Combine like terms: 0.02333333334 + -0.02333333334 = 0.00000000000
0.00000000000 + x = 0.404818203 + -0.02333333334
x = 0.404818203 + -0.02333333334

Combine like terms: 0.404818203 + -0.02333333334 = 0.38148486966
x = 0.38148486966

Simplifying
x = 0.38148486966


Subproblem 2
x + 0.02333333334 = -0.404818203

Simplifying
x + 0.02333333334 = -0.404818203

Reorder the terms:
0.02333333334 + x = -0.404818203

Solving
0.02333333334 + x = -0.404818203

Solving for variable 'x'.

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

Add '-0.02333333334' to each side of the equation.
0.02333333334 + -0.02333333334 + x = -0.404818203 + -0.02333333334

Combine like terms: 0.02333333334 + -0.02333333334 = 0.00000000000
0.00000000000 + x = -0.404818203 + -0.02333333334
x = -0.404818203 + -0.02333333334

Combine like terms: -0.404818203 + -0.02333333334 = -0.42815153634
x = -0.42815153634

Simplifying
x = -0.42815153634


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.38148486966, -0.42815153634}

See similar equations:

| 6x-6-42=7x-7 | | -300x^2-14x+49=0 | | (X+18)(x-2)(x)=576 | | 7x^2=-23x-6 | | -4.4x-2=5.5x-4.2 | | 12x-3(x-2)=3(x+4) | | -7q=56 | | 6x+3y+0.5z=100 | | 10x-5*0=-50 | | 1/2x-5=-10 | | -4x^2+5x-2=0 | | -3x^2-0.14x+0.49=0 | | 0.26y+.21=-0.04y-0.06 | | v^2+7v+10/5v^2-20 | | 0.6x-0.3=1.2+0.4x | | t-7+b=yfort | | 16a+16a= | | -6y=3x+2 | | 2h+18=338 | | 2z-3=1+z+4 | | 8ln(17-4x)=16 | | 54*11/27*1/4 | | 4m^2-16my+15y^2= | | -44=p/-4 | | P/3=12 | | -4*2=-5*5+15x | | -4*2=-5*3+15x | | 6x^2+2x+6=0 | | 2-3x-5=5-8x+x | | 3.5x-8+x=1/2(7x-16) | | 15-4x=11(2x) | | 46=6-2a |

Equations solver categories