If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 5n + -33 = 12 Reorder the terms: -33 + 5n + 2n2 = 12 Solving -33 + 5n + 2n2 = 12 Solving for variable 'n'. Reorder the terms: -33 + -12 + 5n + 2n2 = 12 + -12 Combine like terms: -33 + -12 = -45 -45 + 5n + 2n2 = 12 + -12 Combine like terms: 12 + -12 = 0 -45 + 5n + 2n2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -22.5 + 2.5n + n2 = 0 Move the constant term to the right: Add '22.5' to each side of the equation. -22.5 + 2.5n + 22.5 + n2 = 0 + 22.5 Reorder the terms: -22.5 + 22.5 + 2.5n + n2 = 0 + 22.5 Combine like terms: -22.5 + 22.5 = 0.0 0.0 + 2.5n + n2 = 0 + 22.5 2.5n + n2 = 0 + 22.5 Combine like terms: 0 + 22.5 = 22.5 2.5n + n2 = 22.5 The n term is 2.5n. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5n + 1.5625 + n2 = 22.5 + 1.5625 Reorder the terms: 1.5625 + 2.5n + n2 = 22.5 + 1.5625 Combine like terms: 22.5 + 1.5625 = 24.0625 1.5625 + 2.5n + n2 = 24.0625 Factor a perfect square on the left side: (n + 1.25)(n + 1.25) = 24.0625 Calculate the square root of the right side: 4.905354218 Break this problem into two subproblems by setting (n + 1.25) equal to 4.905354218 and -4.905354218.Subproblem 1
n + 1.25 = 4.905354218 Simplifying n + 1.25 = 4.905354218 Reorder the terms: 1.25 + n = 4.905354218 Solving 1.25 + n = 4.905354218 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + n = 4.905354218 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + n = 4.905354218 + -1.25 n = 4.905354218 + -1.25 Combine like terms: 4.905354218 + -1.25 = 3.655354218 n = 3.655354218 Simplifying n = 3.655354218Subproblem 2
n + 1.25 = -4.905354218 Simplifying n + 1.25 = -4.905354218 Reorder the terms: 1.25 + n = -4.905354218 Solving 1.25 + n = -4.905354218 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + n = -4.905354218 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + n = -4.905354218 + -1.25 n = -4.905354218 + -1.25 Combine like terms: -4.905354218 + -1.25 = -6.155354218 n = -6.155354218 Simplifying n = -6.155354218Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.655354218, -6.155354218}
| 19x-18x=3 | | x+3x+3x+5=166 | | 3(m+4)=-24-m | | 10-2x=20x+4 | | log(x-11)+log(x-8)=1 | | 23-13y=10y | | -16t^2+69t+3=0 | | 15p+16q+p-6q-3p= | | x+x+22=460 | | 8x+5x+3+7=7x+4+5x | | 41x-96=41 | | n^2-11n-42=0 | | log(x-3)=4 | | 23x-13y=10y | | 2b+3=-8 | | 1.5(3)+2y=8 | | 10y+45=135 | | (9b-2)-2(4b+3)=-3 | | 6b^2+b-26=0 | | Logy=1.111152 | | e^1=10.5 | | (2y^2-5y+4)-(3y^2-5y+8)= | | 0.1f+1=0.01f+10 | | x(x-2)(x-1)=60 | | X^6+512y^3= | | -7(3b+3)+22b-4=0 | | 4(x-4)+15=2x+3 | | 0.8x-2.5=4.7x+1.3 | | 4m^2+m-6=0 | | 0.6g-1=0.1g-0.5 | | m-t=3p | | 0.4(x+50)+1.4x=101 |