0=-2x^2+4x+2

Simple and best practice solution for 0=-2x^2+4x+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 0=-2x^2+4x+2 equation:


Simplifying
0 = -2x2 + 4x + 2

Reorder the terms:
0 = 2 + 4x + -2x2

Solving
0 = 2 + 4x + -2x2

Solving for variable 'x'.

Combine like terms: 0 + -2 = -2
-2 + -4x + 2x2 = 2 + 4x + -2x2 + -2 + -4x + 2x2

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

Combine like terms: 2 + -2 = 0
-2 + -4x + 2x2 = 0 + 4x + -4x + -2x2 + 2x2
-2 + -4x + 2x2 = 4x + -4x + -2x2 + 2x2

Combine like terms: 4x + -4x = 0
-2 + -4x + 2x2 = 0 + -2x2 + 2x2
-2 + -4x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-2 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -2x + x2)' equal to zero and attempt to solve: Simplifying -1 + -2x + x2 = 0 Solving -1 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -2x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -2x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + x2 = 0 + 1 -2x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + x2 = 1 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1 + 1 Reorder the terms: 1 + -2x + x2 = 1 + 1 Combine like terms: 1 + 1 = 2 1 + -2x + x2 = 2 Factor a perfect square on the left side: (x + -1)(x + -1) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + -1) equal to 1.414213562 and -1.414213562.

Subproblem 1

x + -1 = 1.414213562 Simplifying x + -1 = 1.414213562 Reorder the terms: -1 + x = 1.414213562 Solving -1 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.414213562 + 1 x = 1.414213562 + 1 Combine like terms: 1.414213562 + 1 = 2.414213562 x = 2.414213562 Simplifying x = 2.414213562

Subproblem 2

x + -1 = -1.414213562 Simplifying x + -1 = -1.414213562 Reorder the terms: -1 + x = -1.414213562 Solving -1 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.414213562 + 1 x = -1.414213562 + 1 Combine like terms: -1.414213562 + 1 = -0.414213562 x = -0.414213562 Simplifying x = -0.414213562

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.414213562, -0.414213562}

Solution

x = {2.414213562, -0.414213562}

See similar equations:

| 6x-5-3=2 | | 2(-1x-8)=-20 | | -3u+25=2u | | 6(f-74)=90 | | -8+z=-16 | | Log(3)x+20-log(3)x-6=3 | | 6x-6=-10+2x | | -k+10=-6 | | -6x+3=-27-3x | | (5+x)(x)=126 | | 6r=3(t+4)+t | | 0.5(2x+8)=0.4(10x-9) | | 2-6x=5x+68 | | ln(x)+ln(6)+1=0 | | 77=7(y+4) | | (x^2-64)(x+2)=0 | | -2x-5(4-x)=-50 | | -6x+1=5x+1 | | 21=7(g-87) | | 4x+8=-5x+98 | | 3x^2-95x-35=0 | | 2x^2-5x+5=x^2+6x-5 | | (a-1)(a-11)= | | ln(x+5)+ln(x-1)=ln(x+1) | | 7(m-7)-1=-106 | | 0.2k-4.21-0.8=2(-k+0.1) | | 65=-3x+10-2x | | -7y+6=33y-2 | | -4t(5+7)=32 | | -(-2)-6y=2 | | (13-19y)-(13+14y)= | | 53.7=26.5+h-.76 |

Equations solver categories