2x-6x(x+4)=-4

Simple and best practice solution for 2x-6x(x+4)=-4 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-6x(x+4)=-4 equation:


Simplifying
2x + -6x(x + 4) = -4

Reorder the terms:
2x + -6x(4 + x) = -4
2x + (4 * -6x + x * -6x) = -4
2x + (-24x + -6x2) = -4

Combine like terms: 2x + -24x = -22x
-22x + -6x2 = -4

Solving
-22x + -6x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -22x + -6x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -22x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -11x + -3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -11x + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -11x + -3x2 = 0 Solving 2 + -11x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -0.6666666667 + 3.666666667x + x2 = 0 Move the constant term to the right: Add '0.6666666667' to each side of the equation. -0.6666666667 + 3.666666667x + 0.6666666667 + x2 = 0 + 0.6666666667 Reorder the terms: -0.6666666667 + 0.6666666667 + 3.666666667x + x2 = 0 + 0.6666666667 Combine like terms: -0.6666666667 + 0.6666666667 = 0.0000000000 0.0000000000 + 3.666666667x + x2 = 0 + 0.6666666667 3.666666667x + x2 = 0 + 0.6666666667 Combine like terms: 0 + 0.6666666667 = 0.6666666667 3.666666667x + x2 = 0.6666666667 The x term is 3.666666667x. Take half its coefficient (1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. 3.666666667x + 3.361111114 + x2 = 0.6666666667 + 3.361111114 Reorder the terms: 3.361111114 + 3.666666667x + x2 = 0.6666666667 + 3.361111114 Combine like terms: 0.6666666667 + 3.361111114 = 4.0277777807 3.361111114 + 3.666666667x + x2 = 4.0277777807 Factor a perfect square on the left side: (x + 1.833333334)(x + 1.833333334) = 4.0277777807 Calculate the square root of the right side: 2.006932431 Break this problem into two subproblems by setting (x + 1.833333334) equal to 2.006932431 and -2.006932431.

Subproblem 1

x + 1.833333334 = 2.006932431 Simplifying x + 1.833333334 = 2.006932431 Reorder the terms: 1.833333334 + x = 2.006932431 Solving 1.833333334 + x = 2.006932431 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = 2.006932431 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = 2.006932431 + -1.833333334 x = 2.006932431 + -1.833333334 Combine like terms: 2.006932431 + -1.833333334 = 0.173599097 x = 0.173599097 Simplifying x = 0.173599097

Subproblem 2

x + 1.833333334 = -2.006932431 Simplifying x + 1.833333334 = -2.006932431 Reorder the terms: 1.833333334 + x = -2.006932431 Solving 1.833333334 + x = -2.006932431 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.833333334' to each side of the equation. 1.833333334 + -1.833333334 + x = -2.006932431 + -1.833333334 Combine like terms: 1.833333334 + -1.833333334 = 0.000000000 0.000000000 + x = -2.006932431 + -1.833333334 x = -2.006932431 + -1.833333334 Combine like terms: -2.006932431 + -1.833333334 = -3.840265765 x = -3.840265765 Simplifying x = -3.840265765

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.173599097, -3.840265765}

Solution

x = {0.173599097, -3.840265765}

See similar equations:

| 4y-16x=12 | | 18b+9=27 | | -2x+7+3x=-8+20 | | 8(x+9)=6x-53 | | 5p+2p=4p-1 | | n-1.35=-19.9 | | 125m-100m+33425=35875-150m | | 10c+40d=40 | | 8x-2(x-5)=x+26 | | 6p-4n-2n+5p= | | 20-2a=44 | | 3(-x)=18 | | 4-7y=25 | | 6[x-4]=-42 | | -5c-14=-4 | | T=5s+4.55 | | -31=4-7y | | 4x+5=-45-6x | | T=5+4.55s | | 20(150)+10y=4750 | | 11d-18=290 | | 20x+10(325-x)=4750 | | 5ix-i=0 | | 7y+22=13 | | i^2-i= | | 20x-5(6x+4)=4x-6 | | 0.06(500)+.04y=62 | | 3ix^2-ix^2= | | 0.06x+0.04(1300-x)=62 | | 2z^2+6z+20=0 | | x^3+4x^2-15x=10x^2-21x | | 22+5x+3=7x-5 |

Equations solver categories