2x^2-6x-2=0

Simple and best practice solution for 2x^2-6x-2=0 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^2-6x-2=0 equation:


Simplifying
2x2 + -6x + -2 = 0

Reorder the terms:
-2 + -6x + 2x2 = 0

Solving
-2 + -6x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3x + x2)' equal to zero and attempt to solve: Simplifying -1 + -3x + x2 = 0 Solving -1 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '1' to each side of the equation. -1 + -3x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -3x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x + x2 = 0 + 1 -3x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -3x + x2 = 1 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 1 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 1 + 2.25 Combine like terms: 1 + 2.25 = 3.25 2.25 + -3x + x2 = 3.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 3.25 Calculate the square root of the right side: 1.802775638 Break this problem into two subproblems by setting (x + -1.5) equal to 1.802775638 and -1.802775638.

Subproblem 1

x + -1.5 = 1.802775638 Simplifying x + -1.5 = 1.802775638 Reorder the terms: -1.5 + x = 1.802775638 Solving -1.5 + x = 1.802775638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 1.802775638 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 1.802775638 + 1.5 x = 1.802775638 + 1.5 Combine like terms: 1.802775638 + 1.5 = 3.302775638 x = 3.302775638 Simplifying x = 3.302775638

Subproblem 2

x + -1.5 = -1.802775638 Simplifying x + -1.5 = -1.802775638 Reorder the terms: -1.5 + x = -1.802775638 Solving -1.5 + x = -1.802775638 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -1.802775638 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -1.802775638 + 1.5 x = -1.802775638 + 1.5 Combine like terms: -1.802775638 + 1.5 = -0.302775638 x = -0.302775638 Simplifying x = -0.302775638

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.302775638, -0.302775638}

Solution

x = {3.302775638, -0.302775638}

See similar equations:

| -4y+8=-5y+1 | | 4y+8=-5y+1 | | -4y+8=5y+4 | | 9m+m+22=5 | | 5p+7=14+4p | | -5y+10y=8 | | 6x+4y=36 | | 10x+2x+5=225 | | 4x^2+2x-120=0 | | 6x^2-x+4=0 | | 4x-2(3-x)=-117+63 | | X=4+6x^2 | | 2(5x-4)=3(3x-1) | | -7-4u=1 | | 35x^2-2x-1=0 | | X^2=2-3X | | 19x+2y=-11 | | 2x+54=3x-(-67) | | 100x=99-x+99 | | 3-x=24 | | -10+3= | | x^2-82x+81=0 | | 5(6-3)-1.6= | | log^5x=3 | | 8a-15=3 | | 18x-(4x+2)=8(6x-4) | | 2.5x+3(2.4-x)=37.5+x | | 0.4x^2+0.7x^2+0.1x^2= | | -4(t-6)-(t+6)=11 | | 0=-16t*t+64t-28 | | x+7=16+3x+x^2 | | 0=-16t*t+64-60 |

Equations solver categories