2x^2-3x+1=2

Simple and best practice solution for 2x^2-3x+1=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 2x^2-3x+1=2 equation:


Simplifying
2x2 + -3x + 1 = 2

Reorder the terms:
1 + -3x + 2x2 = 2

Solving
1 + -3x + 2x2 = 2

Solving for variable 'x'.

Reorder the terms:
1 + -2 + -3x + 2x2 = 2 + -2

Combine like terms: 1 + -2 = -1
-1 + -3x + 2x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-1 + -3x + 2x2 = 0

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

Divide each side by '2'.
-0.5 + -1.5x + x2 = 0

Move the constant term to the right:

Add '0.5' to each side of the equation.
-0.5 + -1.5x + 0.5 + x2 = 0 + 0.5

Reorder the terms:
-0.5 + 0.5 + -1.5x + x2 = 0 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + -1.5x + x2 = 0 + 0.5
-1.5x + x2 = 0 + 0.5

Combine like terms: 0 + 0.5 = 0.5
-1.5x + x2 = 0.5

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = 0.5 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = 0.5 + 0.5625

Combine like terms: 0.5 + 0.5625 = 1.0625
0.5625 + -1.5x + x2 = 1.0625

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = 1.0625

Calculate the square root of the right side: 1.030776406

Break this problem into two subproblems by setting 
(x + -0.75) equal to 1.030776406 and -1.030776406.

Subproblem 1

x + -0.75 = 1.030776406 Simplifying x + -0.75 = 1.030776406 Reorder the terms: -0.75 + x = 1.030776406 Solving -0.75 + x = 1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = 1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = 1.030776406 + 0.75 x = 1.030776406 + 0.75 Combine like terms: 1.030776406 + 0.75 = 1.780776406 x = 1.780776406 Simplifying x = 1.780776406

Subproblem 2

x + -0.75 = -1.030776406 Simplifying x + -0.75 = -1.030776406 Reorder the terms: -0.75 + x = -1.030776406 Solving -0.75 + x = -1.030776406 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + x = -1.030776406 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + x = -1.030776406 + 0.75 x = -1.030776406 + 0.75 Combine like terms: -1.030776406 + 0.75 = -0.280776406 x = -0.280776406 Simplifying x = -0.280776406

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.780776406, -0.280776406}

See similar equations:

| 16=x*(7.9+x) | | 2(b-4)+9=4(b-2) | | -5x^2-17x-14=0 | | 13(z+3)-4(z-1)=4(z-1)+4(z-3) | | 6j-3=19 | | 6x+4=3-6x*3 | | 0.5(j+4)=j-1 | | 7x-3(-10-5x)=-36 | | 7x+7-x=19 | | (7p+-1q)(2+1q)=0 | | 24=4(b-1) | | 500+15t=900 | | -3s-15=2 | | 3x^2+4-5=0 | | 8p-2p-6=18 | | log[4](x+4)+log[4](x-2)=2 | | -13x+11y=5 | | 44=-2(21-y)+3(y-3) | | (4y-9y)+51=-49 | | 1.35x+.3(1.35x)= | | 4+5k-2=22 | | Y=27x^3-8 | | 3n(n-6)+4=5n-6 | | 5x+6x-7x=18+6 | | ln*x+ln*(x+2)=ln*2 | | -26=15k-2k | | 29+14(y-3)=-98(y-8) | | 5t+2t-8=55 | | 5k-12=6 | | 7f-13=5(-3) | | 2v+4=-6(-2v+5)+2(7-5v) | | 4f-5=12 |

Equations solver categories