If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16n2 + -18n + -18 = 6 Reorder the terms: -18 + -18n + 16n2 = 6 Solving -18 + -18n + 16n2 = 6 Solving for variable 'n'. Reorder the terms: -18 + -6 + -18n + 16n2 = 6 + -6 Combine like terms: -18 + -6 = -24 -24 + -18n + 16n2 = 6 + -6 Combine like terms: 6 + -6 = 0 -24 + -18n + 16n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -9n + 8n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -9n + 8n2)' equal to zero and attempt to solve: Simplifying -12 + -9n + 8n2 = 0 Solving -12 + -9n + 8n2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -1.5 + -1.125n + n2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -1.125n + 1.5 + n2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -1.125n + n2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.125n + n2 = 0 + 1.5 -1.125n + n2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -1.125n + n2 = 1.5 The n term is -1.125n. Take half its coefficient (-0.5625). Square it (0.31640625) and add it to both sides. Add '0.31640625' to each side of the equation. -1.125n + 0.31640625 + n2 = 1.5 + 0.31640625 Reorder the terms: 0.31640625 + -1.125n + n2 = 1.5 + 0.31640625 Combine like terms: 1.5 + 0.31640625 = 1.81640625 0.31640625 + -1.125n + n2 = 1.81640625 Factor a perfect square on the left side: (n + -0.5625)(n + -0.5625) = 1.81640625 Calculate the square root of the right side: 1.347741166 Break this problem into two subproblems by setting (n + -0.5625) equal to 1.347741166 and -1.347741166.Subproblem 1
n + -0.5625 = 1.347741166 Simplifying n + -0.5625 = 1.347741166 Reorder the terms: -0.5625 + n = 1.347741166 Solving -0.5625 + n = 1.347741166 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5625' to each side of the equation. -0.5625 + 0.5625 + n = 1.347741166 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + n = 1.347741166 + 0.5625 n = 1.347741166 + 0.5625 Combine like terms: 1.347741166 + 0.5625 = 1.910241166 n = 1.910241166 Simplifying n = 1.910241166Subproblem 2
n + -0.5625 = -1.347741166 Simplifying n + -0.5625 = -1.347741166 Reorder the terms: -0.5625 + n = -1.347741166 Solving -0.5625 + n = -1.347741166 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5625' to each side of the equation. -0.5625 + 0.5625 + n = -1.347741166 + 0.5625 Combine like terms: -0.5625 + 0.5625 = 0.0000 0.0000 + n = -1.347741166 + 0.5625 n = -1.347741166 + 0.5625 Combine like terms: -1.347741166 + 0.5625 = -0.785241166 n = -0.785241166 Simplifying n = -0.785241166Solution
The solution to the problem is based on the solutions from the subproblems. n = {1.910241166, -0.785241166}Solution
n = {1.910241166, -0.785241166}
| x+(x+1)+(x+2)=3x+3 | | x+(x+1)+(x+2)= | | 4x-(x-5)=9x-13 | | 2d-4=8 | | -2m-30=-6m | | G(x)=6x-x-2 | | x+15+2x=119 | | F(4)=2x-3 | | t^2+15t+11=0 | | 15x^2+4x+4=O | | F(0)=2x-3 | | 2x^2+28x+98=0 | | B^2+11b+28=0 | | 3(a+5)+6=27 | | F(-4)=2x-3 | | 4r^2+31r+42=0 | | 7h^2+7h^2=9h-3 | | v^2-11v+30=0 | | s^2+13s+42=0 | | 24q+18y=30 | | (13r+7)(6r-18)=0 | | 9b+4=12 | | (b+4)(b-9)=0 | | 4+3x=25 | | 3+3x=36 | | 12q+6y=15 | | 7p-4q=9 | | 3y^2+2y=5-4y | | y=x^2+2x-2 | | P+14=2 | | -5+2=33 | | x^2+18x=2 |