(6x+2)(6x+2)=50

Simple and best practice solution for (6x+2)(6x+2)=50 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 (6x+2)(6x+2)=50 equation:


Simplifying
(6x + 2)(6x + 2) = 50

Reorder the terms:
(2 + 6x)(6x + 2) = 50

Reorder the terms:
(2 + 6x)(2 + 6x) = 50

Multiply (2 + 6x) * (2 + 6x)
(2(2 + 6x) + 6x * (2 + 6x)) = 50
((2 * 2 + 6x * 2) + 6x * (2 + 6x)) = 50
((4 + 12x) + 6x * (2 + 6x)) = 50
(4 + 12x + (2 * 6x + 6x * 6x)) = 50
(4 + 12x + (12x + 36x2)) = 50

Combine like terms: 12x + 12x = 24x
(4 + 24x + 36x2) = 50

Solving
4 + 24x + 36x2 = 50

Solving for variable 'x'.

Reorder the terms:
4 + -50 + 24x + 36x2 = 50 + -50

Combine like terms: 4 + -50 = -46
-46 + 24x + 36x2 = 50 + -50

Combine like terms: 50 + -50 = 0
-46 + 24x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-23 + 12x + 18x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-23 + 12x + 18x2)' equal to zero and attempt to solve: Simplifying -23 + 12x + 18x2 = 0 Solving -23 + 12x + 18x2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. -1.277777778 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '1.277777778' to each side of the equation. -1.277777778 + 0.6666666667x + 1.277777778 + x2 = 0 + 1.277777778 Reorder the terms: -1.277777778 + 1.277777778 + 0.6666666667x + x2 = 0 + 1.277777778 Combine like terms: -1.277777778 + 1.277777778 = 0.000000000 0.000000000 + 0.6666666667x + x2 = 0 + 1.277777778 0.6666666667x + x2 = 0 + 1.277777778 Combine like terms: 0 + 1.277777778 = 1.277777778 0.6666666667x + x2 = 1.277777778 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = 1.277777778 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 1.277777778 + 0.1111111112 Combine like terms: 1.277777778 + 0.1111111112 = 1.3888888892 0.1111111112 + 0.6666666667x + x2 = 1.3888888892 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 1.3888888892 Calculate the square root of the right side: 1.178511302 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 1.178511302 and -1.178511302.

Subproblem 1

x + 0.3333333334 = 1.178511302 Simplifying x + 0.3333333334 = 1.178511302 Reorder the terms: 0.3333333334 + x = 1.178511302 Solving 0.3333333334 + x = 1.178511302 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = 1.178511302 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 1.178511302 + -0.3333333334 x = 1.178511302 + -0.3333333334 Combine like terms: 1.178511302 + -0.3333333334 = 0.8451779686 x = 0.8451779686 Simplifying x = 0.8451779686

Subproblem 2

x + 0.3333333334 = -1.178511302 Simplifying x + 0.3333333334 = -1.178511302 Reorder the terms: 0.3333333334 + x = -1.178511302 Solving 0.3333333334 + x = -1.178511302 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = -1.178511302 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -1.178511302 + -0.3333333334 x = -1.178511302 + -0.3333333334 Combine like terms: -1.178511302 + -0.3333333334 = -1.5118446354 x = -1.5118446354 Simplifying x = -1.5118446354

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.8451779686, -1.5118446354}

Solution

x = {0.8451779686, -1.5118446354}

See similar equations:

| -16+6n+1n^2=0 | | 28.25x+18=19.85x+32 | | 30x^2+13x-3=0 | | 12x-x=20 | | 15x+2=30 | | Y+21=2x^2-x | | -14=6+3b-2 | | Y+21=2x^2-3 | | 9(x^2-3x)=3x(x^2-6x+9) | | 14=6+3b-2 | | -9X=-54 | | 4x-8=5.5 | | 7X^2+35=0 | | 3r+6=7r+-10 | | -12x=-9x^2-4 | | 9(x-3)(x+3)=3x(x-3)(x-3) | | 30+5.50t=8t | | 3x^2=7-4x | | -x^2+81=0 | | 4d^2+9=-12d | | -4+m=18 | | 8-3n=2n | | 4x^2+7y=Z | | 50+w=92 | | rx+2+6=9 | | -6a+-8c=3c+16 | | 10a-9=5(2a-3)+6 | | 16+1.3m=-12+1.3m | | 300+500=.9h | | 16+1.3m=-12+.3m | | 6=6-3k-5k | | x+9=2x^2-4x+2 |

Equations solver categories