2x(x+6)+17=11

Simple and best practice solution for 2x(x+6)+17=11 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(x+6)+17=11 equation:


Simplifying
2x(x + 6) + 17 = 11

Reorder the terms:
2x(6 + x) + 17 = 11
(6 * 2x + x * 2x) + 17 = 11
(12x + 2x2) + 17 = 11

Reorder the terms:
17 + 12x + 2x2 = 11

Solving
17 + 12x + 2x2 = 11

Solving for variable 'x'.

Reorder the terms:
17 + -11 + 12x + 2x2 = 11 + -11

Combine like terms: 17 + -11 = 6
6 + 12x + 2x2 = 11 + -11

Combine like terms: 11 + -11 = 0
6 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 6x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + 6x + x2)' equal to zero and attempt to solve: Simplifying 3 + 6x + x2 = 0 Solving 3 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 6x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 6x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 6x + x2 = 0 + -3 6x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 6x + x2 = -3 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 = -3 + 9 Reorder the terms: 9 + 6x + x2 = -3 + 9 Combine like terms: -3 + 9 = 6 9 + 6x + x2 = 6 Factor a perfect square on the left side: (x + 3)(x + 3) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (x + 3) equal to 2.449489743 and -2.449489743.

Subproblem 1

x + 3 = 2.449489743 Simplifying x + 3 = 2.449489743 Reorder the terms: 3 + x = 2.449489743 Solving 3 + x = 2.449489743 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 = 2.449489743 + -3 Combine like terms: 3 + -3 = 0 0 + x = 2.449489743 + -3 x = 2.449489743 + -3 Combine like terms: 2.449489743 + -3 = -0.550510257 x = -0.550510257 Simplifying x = -0.550510257

Subproblem 2

x + 3 = -2.449489743 Simplifying x + 3 = -2.449489743 Reorder the terms: 3 + x = -2.449489743 Solving 3 + x = -2.449489743 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 = -2.449489743 + -3 Combine like terms: 3 + -3 = 0 0 + x = -2.449489743 + -3 x = -2.449489743 + -3 Combine like terms: -2.449489743 + -3 = -5.449489743 x = -5.449489743 Simplifying x = -5.449489743

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.550510257, -5.449489743}

Solution

x = {-0.550510257, -5.449489743}

See similar equations:

| Y=-2x+80 | | 20+12x=55+5x | | 40y^4+15y^2-25y^2= | | x=-144 | | 5x+10y=75 | | 2.5(2y-4)= | | -8v+5(v+2)=-2 | | 2x+4yi=-12-36i | | v+1.6=6.94 | | y-9.85=8.3 | | 2(9x-3)= | | 57/-7 | | 2m-15=23+6m | | 2T-13=-37+6T | | 28x+16y=-8 | | F(6)=-1-2 | | v-7.36=4.9 | | 5x-6+6x-9+74=180 | | 6x+4x=1800 | | 6x+12x=1800 | | 144x-7+5x-81x-13= | | (2x)(6x)=117 | | 3s-17+2z=13 | | 4K-20=1k-4 | | 5x+16=-59 | | 48+x=446 | | -16+y=7 | | 370+x=389 | | 2b-8=98 | | 3z+z=12 | | 0.5x=0.9x+0.2 | | 7x-3+8x+3+45=180 |

Equations solver categories