If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7n2 + 12n + 4 = 0 Reorder the terms: 4 + 12n + 7n2 = 0 Solving 4 + 12n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + 1.714285714n + n2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 1.714285714n + -0.5714285714 + n2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 1.714285714n + n2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 1.714285714n + n2 = 0 + -0.5714285714 1.714285714n + n2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 1.714285714n + n2 = -0.5714285714 The n term is 1.714285714n. Take half its coefficient (0.857142857). Square it (0.7346938773) and add it to both sides. Add '0.7346938773' to each side of the equation. 1.714285714n + 0.7346938773 + n2 = -0.5714285714 + 0.7346938773 Reorder the terms: 0.7346938773 + 1.714285714n + n2 = -0.5714285714 + 0.7346938773 Combine like terms: -0.5714285714 + 0.7346938773 = 0.1632653059 0.7346938773 + 1.714285714n + n2 = 0.1632653059 Factor a perfect square on the left side: (n + 0.857142857)(n + 0.857142857) = 0.1632653059 Calculate the square root of the right side: 0.404061018 Break this problem into two subproblems by setting (n + 0.857142857) equal to 0.404061018 and -0.404061018.Subproblem 1
n + 0.857142857 = 0.404061018 Simplifying n + 0.857142857 = 0.404061018 Reorder the terms: 0.857142857 + n = 0.404061018 Solving 0.857142857 + n = 0.404061018 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + n = 0.404061018 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + n = 0.404061018 + -0.857142857 n = 0.404061018 + -0.857142857 Combine like terms: 0.404061018 + -0.857142857 = -0.453081839 n = -0.453081839 Simplifying n = -0.453081839Subproblem 2
n + 0.857142857 = -0.404061018 Simplifying n + 0.857142857 = -0.404061018 Reorder the terms: 0.857142857 + n = -0.404061018 Solving 0.857142857 + n = -0.404061018 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.857142857' to each side of the equation. 0.857142857 + -0.857142857 + n = -0.404061018 + -0.857142857 Combine like terms: 0.857142857 + -0.857142857 = 0.000000000 0.000000000 + n = -0.404061018 + -0.857142857 n = -0.404061018 + -0.857142857 Combine like terms: -0.404061018 + -0.857142857 = -1.261203875 n = -1.261203875 Simplifying n = -1.261203875Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.453081839, -1.261203875}
| 3y^2+12y-x+11=0 | | 5x-(13-4)=2 | | 3(9x-8)=37 | | 5(x-2)=10x+5 | | 8x-194=59-3x | | -3x+21y=4 | | 6x+2(6)=12 | | 3x-7=-5x+1 | | 3.6w=1.6w+25 | | 100-3x=25 | | 5q+3n=8n+20 | | y^2+12x+6y-51=0 | | 7(8x-7)=30 | | 13x+19y=11 | | -8x-20=30-10x | | 12g=36(2g-3)+33 | | 75=25.927ln(x)-56.3 | | 0.60x+0.15(90)=0.30(111) | | 9x+3=3x-1 | | -9(x-8)+7=79 | | 3-5(x-2)=9+x | | 5x^2+3x+88=180 | | (x+3)+(4x+5)= | | 120=.05s^2+1.1s | | 3/4n/18=1/4n-4 | | 8(1/11) | | 6/11=x/9 | | 5x^2+3x-88=180 | | 6w-3w-1=17 | | -104+6x=136-2x | | 20t-15t-2t-3=6 | | 2([-x]+4)+3x=(-x)+3x |