-2x(x-6)-4=0

Simple and best practice solution for -2x(x-6)-4=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(x-6)-4=0 equation:


Simplifying
-2x(x + -6) + -4 = 0

Reorder the terms:
-2x(-6 + x) + -4 = 0
(-6 * -2x + x * -2x) + -4 = 0
(12x + -2x2) + -4 = 0

Reorder the terms:
-4 + 12x + -2x2 = 0

Solving
-4 + 12x + -2x2 = 0

Solving for variable 'x'.

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-2 + 6x + -1x2)' equal to zero and attempt to solve: Simplifying -2 + 6x + -1x2 = 0 Solving -2 + 6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 2 + -6x + x2 = 0 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 = 5.645751311 x = 5.645751311 Simplifying x = 5.645751311

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 = 0.354248689 x = 0.354248689 Simplifying x = 0.354248689

Solution

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

Solution

x = {5.645751311, 0.354248689}

See similar equations:

| x/4=-11+7 | | (w+3*2)+(w*2)=24 | | 3(-5)+4y=17 | | 2d^2+7d-4= | | -6x-11x=119 | | 2x^2-10x-7=0 | | 6d^2+7d+2= | | -2x(x-6)=4 | | 0.5(x+3)-2.1=-1 | | 2(3x-1)+3(x+4)=4(3x-1)+2(x-3) | | 1/10/6/26-= | | -15+4y=17 | | 52-98= | | (x+6)(6x-7)=(x-12)(1-4x) | | .4x-.25(x-8)=6.5 | | 2(3n-10)=6n-20 | | y-2=-3(x-.5) | | 3/4+7/8= | | -36+(-115)= | | 4x=x+19 | | 2(m+3)-5(m-4)=41 | | -52+39= | | X=2z | | (5x-6)(x+3)=(x+2)(4x-3) | | x+x+4=22 | | .75(5a-3)=.375 | | 3(x-2)+8=2x-10+x | | 11+.24x=18+.17x | | y=.55+.33x | | 8-2x-8=3x-6-5 | | 1/5+1/10/3-3-/50--25-= | | -3x+9+7x+x=-1 |

Equations solver categories