If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 20n + -86 = 7 Reorder the terms: -86 + 20n + 2n2 = 7 Solving -86 + 20n + 2n2 = 7 Solving for variable 'n'. Reorder the terms: -86 + -7 + 20n + 2n2 = 7 + -7 Combine like terms: -86 + -7 = -93 -93 + 20n + 2n2 = 7 + -7 Combine like terms: 7 + -7 = 0 -93 + 20n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -46.5 + 10n + n2 = 0 Move the constant term to the right: Add '46.5' to each side of the equation. -46.5 + 10n + 46.5 + n2 = 0 + 46.5 Reorder the terms: -46.5 + 46.5 + 10n + n2 = 0 + 46.5 Combine like terms: -46.5 + 46.5 = 0.0 0.0 + 10n + n2 = 0 + 46.5 10n + n2 = 0 + 46.5 Combine like terms: 0 + 46.5 = 46.5 10n + n2 = 46.5 The n term is 10n. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10n + 25 + n2 = 46.5 + 25 Reorder the terms: 25 + 10n + n2 = 46.5 + 25 Combine like terms: 46.5 + 25 = 71.5 25 + 10n + n2 = 71.5 Factor a perfect square on the left side: (n + 5)(n + 5) = 71.5 Calculate the square root of the right side: 8.455767263 Break this problem into two subproblems by setting (n + 5) equal to 8.455767263 and -8.455767263.Subproblem 1
n + 5 = 8.455767263 Simplifying n + 5 = 8.455767263 Reorder the terms: 5 + n = 8.455767263 Solving 5 + n = 8.455767263 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = 8.455767263 + -5 Combine like terms: 5 + -5 = 0 0 + n = 8.455767263 + -5 n = 8.455767263 + -5 Combine like terms: 8.455767263 + -5 = 3.455767263 n = 3.455767263 Simplifying n = 3.455767263Subproblem 2
n + 5 = -8.455767263 Simplifying n + 5 = -8.455767263 Reorder the terms: 5 + n = -8.455767263 Solving 5 + n = -8.455767263 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + n = -8.455767263 + -5 Combine like terms: 5 + -5 = 0 0 + n = -8.455767263 + -5 n = -8.455767263 + -5 Combine like terms: -8.455767263 + -5 = -13.455767263 n = -13.455767263 Simplifying n = -13.455767263Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.455767263, -13.455767263}
| a^7/a^4 | | (a^2-3a-28)/(a-2) | | 4a^2+16a-40=8 | | 12=-36-x | | 8(x-3)=8x+24 | | 5v^2-20v-53=7 | | -12=-6+k | | 7x^2+14x-15=6 | | x/3+8=12 | | 3/7z=24 | | w/2=-3 | | -14r-6=-2(6r+8) | | 9n^2+18n-61=0 | | (2+4i)(8-i)= | | r^2+6r-13=-6 | | 4-2x+6=4 | | 4(5-a)=-4 | | 3(4x^2+x-9)=0 | | 3+4xn=6-5xn | | n^2+20n-51=-7 | | (7+3i)(6-i)= | | M^2+12m-15=-2 | | x/2+4=24 | | 3(x-4)=30-3x | | s=9 | | (-6+4i)+(3+7i)= | | X^4+5x^2=36 | | x/3=24 | | 48+16=s | | 2t^5(t-t^2+6t^3)=0 | | 7x+5=4x+29 | | 3+4xn=6-5n |