If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3n2 + -5n + -6 = 9 Reorder the terms: -6 + -5n + 3n2 = 9 Solving -6 + -5n + 3n2 = 9 Solving for variable 'n'. Reorder the terms: -6 + -9 + -5n + 3n2 = 9 + -9 Combine like terms: -6 + -9 = -15 -15 + -5n + 3n2 = 9 + -9 Combine like terms: 9 + -9 = 0 -15 + -5n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -5 + -1.666666667n + n2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -1.666666667n + 5 + n2 = 0 + 5 Reorder the terms: -5 + 5 + -1.666666667n + n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1.666666667n + n2 = 0 + 5 -1.666666667n + n2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1.666666667n + n2 = 5 The n term is -1.666666667n. Take half its coefficient (-0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. -1.666666667n + 0.6944444447 + n2 = 5 + 0.6944444447 Reorder the terms: 0.6944444447 + -1.666666667n + n2 = 5 + 0.6944444447 Combine like terms: 5 + 0.6944444447 = 5.6944444447 0.6944444447 + -1.666666667n + n2 = 5.6944444447 Factor a perfect square on the left side: (n + -0.8333333335)(n + -0.8333333335) = 5.6944444447 Calculate the square root of the right side: 2.386303511 Break this problem into two subproblems by setting (n + -0.8333333335) equal to 2.386303511 and -2.386303511.Subproblem 1
n + -0.8333333335 = 2.386303511 Simplifying n + -0.8333333335 = 2.386303511 Reorder the terms: -0.8333333335 + n = 2.386303511 Solving -0.8333333335 + n = 2.386303511 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + n = 2.386303511 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + n = 2.386303511 + 0.8333333335 n = 2.386303511 + 0.8333333335 Combine like terms: 2.386303511 + 0.8333333335 = 3.2196368445 n = 3.2196368445 Simplifying n = 3.2196368445Subproblem 2
n + -0.8333333335 = -2.386303511 Simplifying n + -0.8333333335 = -2.386303511 Reorder the terms: -0.8333333335 + n = -2.386303511 Solving -0.8333333335 + n = -2.386303511 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.8333333335' to each side of the equation. -0.8333333335 + 0.8333333335 + n = -2.386303511 + 0.8333333335 Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000 0.0000000000 + n = -2.386303511 + 0.8333333335 n = -2.386303511 + 0.8333333335 Combine like terms: -2.386303511 + 0.8333333335 = -1.5529701775 n = -1.5529701775 Simplifying n = -1.5529701775Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.2196368445, -1.5529701775}
| 5/7*-3/-8*2 | | c+2cd=6+d | | a^3-3a^2+5a=1 | | c+2cd-6+d= | | a^2-14a-51=0 | | g^2+9g=52 | | y=(x+5) | | 6q^2+2q=5q^2-2q+32 | | 2y+14=3y+6 | | 51-11y/8 | | 36x^3+72x^2-15x=0 | | 4x^3+8x^2=15x/9 | | 5-(2x+2)=12 | | x/2+9=17 | | 2w^2-7w=4 | | 8(x+7)=80 | | 4x^2-12x/x^2/8x/3x-9 | | x^2-5=16-4x | | 5m^2-29m-42=0 | | 12e-19=7 | | 2x/3+x/2=2x/3 | | 4x=1-3x^2 | | 3r^2/2 | | h(t)=35+92t-16t^2 | | 9x/5000+2/1000=28/5000 | | 65.9=2 | | 1/2+2/3p+6=4p-1-5/6p | | 2n+4(n+4)=304 | | 10e-19=7 | | 0=(18x^3y^4)/(9x^3y^3) | | .5(-4+6y)=0.3y+.6(y+9) | | 8/63+154 |