If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -78 + -6n + n2 = 0 Solving -78 + -6n + n2 = 0 Solving for variable 'n'. Begin completing the square. Move the constant term to the right: Add '78' to each side of the equation. -78 + -6n + 78 + n2 = 0 + 78 Reorder the terms: -78 + 78 + -6n + n2 = 0 + 78 Combine like terms: -78 + 78 = 0 0 + -6n + n2 = 0 + 78 -6n + n2 = 0 + 78 Combine like terms: 0 + 78 = 78 -6n + n2 = 78 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 = 78 + 9 Reorder the terms: 9 + -6n + n2 = 78 + 9 Combine like terms: 78 + 9 = 87 9 + -6n + n2 = 87 Factor a perfect square on the left side: (n + -3)(n + -3) = 87 Calculate the square root of the right side: 9.327379053 Break this problem into two subproblems by setting (n + -3) equal to 9.327379053 and -9.327379053.Subproblem 1
n + -3 = 9.327379053 Simplifying n + -3 = 9.327379053 Reorder the terms: -3 + n = 9.327379053 Solving -3 + n = 9.327379053 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 = 9.327379053 + 3 Combine like terms: -3 + 3 = 0 0 + n = 9.327379053 + 3 n = 9.327379053 + 3 Combine like terms: 9.327379053 + 3 = 12.327379053 n = 12.327379053 Simplifying n = 12.327379053Subproblem 2
n + -3 = -9.327379053 Simplifying n + -3 = -9.327379053 Reorder the terms: -3 + n = -9.327379053 Solving -3 + n = -9.327379053 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 = -9.327379053 + 3 Combine like terms: -3 + 3 = 0 0 + n = -9.327379053 + 3 n = -9.327379053 + 3 Combine like terms: -9.327379053 + 3 = -6.327379053 n = -6.327379053 Simplifying n = -6.327379053Solution
The solution to the problem is based on the solutions from the subproblems. n = {12.327379053, -6.327379053}
| (30+4n)-(20+3n)= | | 90=x*0.05*4 | | 15y+6x=-45 | | 18-3=(-z) | | 5r+10d= | | -5x+4(2x+5y)-10y-25-37= | | x(3x-13)-1=0 | | x^2=12x+36 | | 3x=-5-4 | | 6b+3d= | | -3(3u-9)+8u=5(u+7) | | 4h+8d= | | m^3-4m^2-5m=0 | | 6+7(-5x-3)=-2(-7x-3)+8 | | -4(y-3)=-2y+10 | | 16x^2-16x+4=25 | | x/2+20=10 | | 20=2x(x) | | -23=5(y-4)-8y | | (3+x)4=12 | | 3+(-x)=18 | | -18x+23=-5 | | (y-5)/3=1 | | log(2x^2+4x)=log(11x+30) | | x^1000=x^1000*x^1000 | | 3+5(5t+1)+8t=0 | | Logx^27=9 | | 3d^2-51d+162=0 | | x=x^1000*x^1000 | | 6t-4=3t+2 | | 0(x)=4x+5 | | 3X+7Y=2990 |