-x^2-6x=2

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


Simplifying
-1x2 + -6x = 2

Reorder the terms:
-6x + -1x2 = 2

Solving
-6x + -1x2 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + -6x + -1x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 6x + x2) = 0

Ignore the factor -1.

Subproblem 1

Set the factor '(2 + 6x + x2)' equal to zero and attempt to solve: Simplifying 2 + 6x + x2 = 0 Solving 2 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + 6x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 6x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 6x + x2 = 0 + -2 6x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 6x + x2 = -2 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -2 + 9 Reorder the terms: 9 + 6x + x2 = -2 + 9 Combine like terms: -2 + 9 = 7 9 + 6x + x2 = 7 Factor a perfect square on the left side: (x + 3)(x + 3) = 7 Calculate the square root of the right side: 2.645751311 Break this problem into two subproblems by setting (x + 3) equal to 2.645751311 and -2.645751311.

Subproblem 1

x + 3 = 2.645751311 Simplifying x + 3 = 2.645751311 Reorder the terms: 3 + x = 2.645751311 Solving 3 + x = 2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 2.645751311 + -3 Combine like terms: 3 + -3 = 0 0 + x = 2.645751311 + -3 x = 2.645751311 + -3 Combine like terms: 2.645751311 + -3 = -0.354248689 x = -0.354248689 Simplifying x = -0.354248689

Subproblem 2

x + 3 = -2.645751311 Simplifying x + 3 = -2.645751311 Reorder the terms: 3 + x = -2.645751311 Solving 3 + x = -2.645751311 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -2.645751311 + -3 Combine like terms: 3 + -3 = 0 0 + x = -2.645751311 + -3 x = -2.645751311 + -3 Combine like terms: -2.645751311 + -3 = -5.645751311 x = -5.645751311 Simplifying x = -5.645751311

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.354248689, -5.645751311}

Solution

x = {-0.354248689, -5.645751311}

See similar equations:

| 4(5+-1y)+2y+2=14 | | 2(5+-1y)+2y+2=12 | | 2x+2y+2=12 | | 6-(5-1z)-1z+3(5-1z)+1z=10 | | x^4+8x^3+4x^2-48x=0 | | 4(6-1y-1z)+2y+2z=14 | | 2x+3=7-4x | | 6-1Y-1Z+2Y+2Z=14 | | 8m+20=10m+15 | | (X-1)+5=8 | | (X+9)+1=2 | | (X-7)+2=9 | | 7x+9y=86 | | 8(-0.5Y-0.5)+16=5Y+3 | | -56+8x-4x^2=8 | | 27-7c=20 | | 25-9h=16 | | 8X=-13+5Y | | 3(X+Y)=0 | | 8x-4x=-13+11-7y+5y | | x=2x-2+3-9x | | 4x=-2-2y | | x=2x-2*3-9x | | 9(x-1)+7x=5(x+7) | | 8d-3(13+3d)=4d | | x=2x-2(3-9x) | | 2(3x-2)=4x+8 | | -8(1.2c-3.3d)= | | (5x^2+2x-3)+(-2x^2+7)= | | 18-x-15=15 | | (x-4)+3=8 | | 1x^3-7x^2+16x+(-12)=0 |

Equations solver categories