4x^2-2x=-3x^2+2

Simple and best practice solution for 4x^2-2x=-3x^2+2 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^2-2x=-3x^2+2 equation:


Simplifying
4x2 + -2x = -3x2 + 2

Reorder the terms:
-2x + 4x2 = -3x2 + 2

Reorder the terms:
-2x + 4x2 = 2 + -3x2

Solving
-2x + 4x2 = 2 + -3x2

Solving for variable 'x'.

Reorder the terms:
-2 + -2x + 4x2 + 3x2 = 2 + -3x2 + -2 + 3x2

Combine like terms: 4x2 + 3x2 = 7x2
-2 + -2x + 7x2 = 2 + -3x2 + -2 + 3x2

Reorder the terms:
-2 + -2x + 7x2 = 2 + -2 + -3x2 + 3x2

Combine like terms: 2 + -2 = 0
-2 + -2x + 7x2 = 0 + -3x2 + 3x2
-2 + -2x + 7x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-2 + -2x + 7x2 = 0

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

Divide each side by '7'.
-0.2857142857 + -0.2857142857x + x2 = 0

Move the constant term to the right:

Add '0.2857142857' to each side of the equation.
-0.2857142857 + -0.2857142857x + 0.2857142857 + x2 = 0 + 0.2857142857

Reorder the terms:
-0.2857142857 + 0.2857142857 + -0.2857142857x + x2 = 0 + 0.2857142857

Combine like terms: -0.2857142857 + 0.2857142857 = 0.0000000000
0.0000000000 + -0.2857142857x + x2 = 0 + 0.2857142857
-0.2857142857x + x2 = 0 + 0.2857142857

Combine like terms: 0 + 0.2857142857 = 0.2857142857
-0.2857142857x + x2 = 0.2857142857

The x term is -0.2857142857x.  Take half its coefficient (-0.1428571429).
Square it (0.02040816328) and add it to both sides.

Add '0.02040816328' to each side of the equation.
-0.2857142857x + 0.02040816328 + x2 = 0.2857142857 + 0.02040816328

Reorder the terms:
0.02040816328 + -0.2857142857x + x2 = 0.2857142857 + 0.02040816328

Combine like terms: 0.2857142857 + 0.02040816328 = 0.30612244898
0.02040816328 + -0.2857142857x + x2 = 0.30612244898

Factor a perfect square on the left side:
(x + -0.1428571429)(x + -0.1428571429) = 0.30612244898

Calculate the square root of the right side: 0.553283335

Break this problem into two subproblems by setting 
(x + -0.1428571429) equal to 0.553283335 and -0.553283335.

Subproblem 1

x + -0.1428571429 = 0.553283335 Simplifying x + -0.1428571429 = 0.553283335 Reorder the terms: -0.1428571429 + x = 0.553283335 Solving -0.1428571429 + x = 0.553283335 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429 + x = 0.553283335 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + x = 0.553283335 + 0.1428571429 x = 0.553283335 + 0.1428571429 Combine like terms: 0.553283335 + 0.1428571429 = 0.6961404779 x = 0.6961404779 Simplifying x = 0.6961404779

Subproblem 2

x + -0.1428571429 = -0.553283335 Simplifying x + -0.1428571429 = -0.553283335 Reorder the terms: -0.1428571429 + x = -0.553283335 Solving -0.1428571429 + x = -0.553283335 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1428571429' to each side of the equation. -0.1428571429 + 0.1428571429 + x = -0.553283335 + 0.1428571429 Combine like terms: -0.1428571429 + 0.1428571429 = 0.0000000000 0.0000000000 + x = -0.553283335 + 0.1428571429 x = -0.553283335 + 0.1428571429 Combine like terms: -0.553283335 + 0.1428571429 = -0.4104261921 x = -0.4104261921 Simplifying x = -0.4104261921

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.6961404779, -0.4104261921}

See similar equations:

| 3n=10+56 | | y-10=12 | | 15x^2+5xy-2x= | | u=4(6n+30)+9(n+1) | | -7log(x-4)=4 | | -10=4+n | | 11x+1=37 | | 7x-(5x+6)=9x-13 | | 2.5p=-18 | | -7+5p=13 | | 5(3x+5)-(15x+5)=20 | | 9x+29= | | 12x^5-18x^3-3x^2= | | 0=25x^4+60x^2+10x+36 | | 6x(9x+4)+9=167-4(7x+3) | | (2z-9)(1+z)=0 | | f(x)=X^2-3x-6 | | 7x-(4x+3)=6 | | 2x^2-26+3=4x^2+2 | | 5y+25z= | | 6(2z-1)-5(z+6)=4(z+1) | | 5/6b=13 | | -3x^2+5x+10=0 | | 11=x/.9 | | z^2-19z+90.25=156.25 | | 3x^2-12x=-15 | | c=6(y+2) | | 4m+2m=5 | | -9-5(-8x+6)=3 | | 2x-1/3=1/5=x | | 4x=7(3+x) | | -3(-4x+6)=-1 |

Equations solver categories