If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 13n + 10 = 0 Reorder the terms: 10 + 13n + 2n2 = 0 Solving 10 + 13n + 2n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + 6.5n + n2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 6.5n + -5 + n2 = 0 + -5 Reorder the terms: 5 + -5 + 6.5n + n2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6.5n + n2 = 0 + -5 6.5n + n2 = 0 + -5 Combine like terms: 0 + -5 = -5 6.5n + n2 = -5 The n term is 6.5n. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5n + 10.5625 + n2 = -5 + 10.5625 Reorder the terms: 10.5625 + 6.5n + n2 = -5 + 10.5625 Combine like terms: -5 + 10.5625 = 5.5625 10.5625 + 6.5n + n2 = 5.5625 Factor a perfect square on the left side: (n + 3.25)(n + 3.25) = 5.5625 Calculate the square root of the right side: 2.358495283 Break this problem into two subproblems by setting (n + 3.25) equal to 2.358495283 and -2.358495283.Subproblem 1
n + 3.25 = 2.358495283 Simplifying n + 3.25 = 2.358495283 Reorder the terms: 3.25 + n = 2.358495283 Solving 3.25 + n = 2.358495283 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + n = 2.358495283 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + n = 2.358495283 + -3.25 n = 2.358495283 + -3.25 Combine like terms: 2.358495283 + -3.25 = -0.891504717 n = -0.891504717 Simplifying n = -0.891504717Subproblem 2
n + 3.25 = -2.358495283 Simplifying n + 3.25 = -2.358495283 Reorder the terms: 3.25 + n = -2.358495283 Solving 3.25 + n = -2.358495283 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + n = -2.358495283 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + n = -2.358495283 + -3.25 n = -2.358495283 + -3.25 Combine like terms: -2.358495283 + -3.25 = -5.608495283 n = -5.608495283 Simplifying n = -5.608495283Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.891504717, -5.608495283}
| 51-5X=39-10X | | 25x*=54 | | 16k+4=4k+-3 | | 50+.25x=70+.20x | | 50+.25x=70+.20 | | (-4x^3y)(2x^3-5x^2y)= | | 2.33+3n=0.8n+12 | | 7a+9-2(3a)=21 | | 2(3x+2)=11x+2-5x+2 | | 3x+7y=37 | | 21-6x=14+x | | 2e+2=4e-12 | | 4(x+1)+(x+3)=5(x+1)+2 | | 4(5x+1)=-16 | | y-5y+2=3 | | 4x^2+31x^8= | | 7d-2d+d+7=2d | | -36=4g | | 24x-22=-4(-6x) | | 3X-26=7X+2 | | r^2=-13 | | s^2-17=13-s^2 | | 11x-3=12-3x | | 8+4a-4=20 | | y=x^2+15x+c | | 2w^2+9w+4=0 | | 2x-3x-12=-5 | | 6m-2=2m-4 | | 3g+4(-7+5g)=1-g | | 3m-4=-11 | | 10(x+2)=28 | | 4(y+2)-2=18 |