28=-4n(n+15)

Simple and best practice solution for 28=-4n(n+15) 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 28=-4n(n+15) equation:


Simplifying
28 = -4n(n + 15)

Reorder the terms:
28 = -4n(15 + n)
28 = (15 * -4n + n * -4n)
28 = (-60n + -4n2)

Solving
28 = -60n + -4n2

Solving for variable 'n'.

Reorder the terms:
28 + 60n + 4n2 = -60n + 60n + -4n2 + 4n2

Combine like terms: -60n + 60n = 0
28 + 60n + 4n2 = 0 + -4n2 + 4n2
28 + 60n + 4n2 = -4n2 + 4n2

Combine like terms: -4n2 + 4n2 = 0
28 + 60n + 4n2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + 15n + n2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(7 + 15n + n2)' equal to zero and attempt to solve: Simplifying 7 + 15n + n2 = 0 Solving 7 + 15n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 15n + -7 + n2 = 0 + -7 Reorder the terms: 7 + -7 + 15n + n2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 15n + n2 = 0 + -7 15n + n2 = 0 + -7 Combine like terms: 0 + -7 = -7 15n + n2 = -7 The n term is 15n. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15n + 56.25 + n2 = -7 + 56.25 Reorder the terms: 56.25 + 15n + n2 = -7 + 56.25 Combine like terms: -7 + 56.25 = 49.25 56.25 + 15n + n2 = 49.25 Factor a perfect square on the left side: (n + 7.5)(n + 7.5) = 49.25 Calculate the square root of the right side: 7.017834424 Break this problem into two subproblems by setting (n + 7.5) equal to 7.017834424 and -7.017834424.

Subproblem 1

n + 7.5 = 7.017834424 Simplifying n + 7.5 = 7.017834424 Reorder the terms: 7.5 + n = 7.017834424 Solving 7.5 + n = 7.017834424 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + n = 7.017834424 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + n = 7.017834424 + -7.5 n = 7.017834424 + -7.5 Combine like terms: 7.017834424 + -7.5 = -0.482165576 n = -0.482165576 Simplifying n = -0.482165576

Subproblem 2

n + 7.5 = -7.017834424 Simplifying n + 7.5 = -7.017834424 Reorder the terms: 7.5 + n = -7.017834424 Solving 7.5 + n = -7.017834424 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + n = -7.017834424 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + n = -7.017834424 + -7.5 n = -7.017834424 + -7.5 Combine like terms: -7.017834424 + -7.5 = -14.517834424 n = -14.517834424 Simplifying n = -14.517834424

Solution

The solution to the problem is based on the solutions from the subproblems. n = {-0.482165576, -14.517834424}

Solution

n = {-0.482165576, -14.517834424}

See similar equations:

| 12-0.25q=6+0.75q | | -4x-5y=1 | | -4x-5=1 | | 10v-4v=90 | | 96a-17a=60 | | m^4-9m^2+8=0 | | m+4=b | | 12ln(t)=14 | | (x+10)+(3x-5)+x=180 | | 4x+6=-42-4x | | 2n-4n-9=1-8n+8n | | 4y+6y=1y | | 4x+6=42-4x | | 32-5x=14-7x | | Y+5=5(x+1) | | f(8)=2+6 | | 6zsquared-3z=0 | | b^2+2h=35 | | y=-9x+60 | | x(x+1)(x+2)=x^3+208 | | Y=-7x+30 | | 25v(25v)-30v=-9 | | 16-3t=7 | | 3g+2=5 | | 10x+3y=-18 | | 6xsquared-3z=0 | | f(x)=54-3x | | 5a-27b=145 | | 2x+by=ax-by | | (3x-2y)(4x-y)= | | 5+22=156 | | 21000(0.0825)=x |

Equations solver categories