-4n(n-6)=12

Simple and best practice solution for -4n(n-6)=12 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 -4n(n-6)=12 equation:


Simplifying
-4n(n + -6) = 12

Reorder the terms:
-4n(-6 + n) = 12
(-6 * -4n + n * -4n) = 12
(24n + -4n2) = 12

Solving
24n + -4n2 = 12

Solving for variable 'n'.

Reorder the terms:
-12 + 24n + -4n2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 24n + -4n2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 6n + -1n2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + 6n + -1n2)' equal to zero and attempt to solve: Simplifying -3 + 6n + -1n2 = 0 Solving -3 + 6n + -1n2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 3 + -6n + n2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -6n + -3 + n2 = 0 + -3 Reorder the terms: 3 + -3 + -6n + n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6n + n2 = 0 + -3 -6n + n2 = 0 + -3 Combine like terms: 0 + -3 = -3 -6n + n2 = -3 The n term is -6n. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6n + 9 + n2 = -3 + 9 Reorder the terms: 9 + -6n + n2 = -3 + 9 Combine like terms: -3 + 9 = 6 9 + -6n + n2 = 6 Factor a perfect square on the left side: (n + -3)(n + -3) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (n + -3) equal to 2.449489743 and -2.449489743.

Subproblem 1

n + -3 = 2.449489743 Simplifying n + -3 = 2.449489743 Reorder the terms: -3 + n = 2.449489743 Solving -3 + n = 2.449489743 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n = 2.449489743 + 3 Combine like terms: -3 + 3 = 0 0 + n = 2.449489743 + 3 n = 2.449489743 + 3 Combine like terms: 2.449489743 + 3 = 5.449489743 n = 5.449489743 Simplifying n = 5.449489743

Subproblem 2

n + -3 = -2.449489743 Simplifying n + -3 = -2.449489743 Reorder the terms: -3 + n = -2.449489743 Solving -3 + n = -2.449489743 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + n = -2.449489743 + 3 Combine like terms: -3 + 3 = 0 0 + n = -2.449489743 + 3 n = -2.449489743 + 3 Combine like terms: -2.449489743 + 3 = 0.550510257 n = 0.550510257 Simplifying n = 0.550510257

Solution

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

Solution

n = {5.449489743, 0.550510257}

See similar equations:

| -5x/7= | | 41=2y+15 | | 4x^2+11xy-20y^2=0 | | (2a^2)-2a-3=0 | | -3x-8+x=17 | | 9(x+3)=27 | | 5*5=6 | | 5x-3+8x-9=131 | | 4w^2+20w+45=0 | | -8.8-6y-4.3-3y=-8y-7.3 | | 6x+2=40 | | (5x-3)+(8x-9)=131 | | y+3x=5 | | -(8x-5)-(6x-6)+4=-4(x-1)-(14x+4)+3 | | 8(x-3)=96 | | x+y+xy= | | x+y+y= | | 30x^3-42x^2+5x-7= | | 2x+y=33 | | 3y+3-y=1+y-5 | | -6(x+1)-x-7=-7(x+4)+15 | | 7x-12-2x=9x-7 | | gc-6=2(c+125) | | 2z^2+7z+6= | | 138=50+4x | | 7x-2(x-8)=5(x+1)+4 | | X-24+29=296 | | -x=8+2 | | 27c^3+1=0 | | .6(x+20)+.8(x-10)=46 | | 7(x+2)+3=73 | | 3(g+5)+2g= |

Equations solver categories