If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 4n + -36 = 0 Reorder the terms: -36 + 4n + 2n2 = 0 Solving -36 + 4n + 2n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + 2n + n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + 2n + n2)' equal to zero and attempt to solve: Simplifying -18 + 2n + n2 = 0 Solving -18 + 2n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '18' to each side of the equation. -18 + 2n + 18 + n2 = 0 + 18 Reorder the terms: -18 + 18 + 2n + n2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 2n + n2 = 0 + 18 2n + n2 = 0 + 18 Combine like terms: 0 + 18 = 18 2n + n2 = 18 The n term is 2n. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2n + 1 + n2 = 18 + 1 Reorder the terms: 1 + 2n + n2 = 18 + 1 Combine like terms: 18 + 1 = 19 1 + 2n + n2 = 19 Factor a perfect square on the left side: (n + 1)(n + 1) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (n + 1) equal to 4.358898944 and -4.358898944.Subproblem 1
n + 1 = 4.358898944 Simplifying n + 1 = 4.358898944 Reorder the terms: 1 + n = 4.358898944 Solving 1 + n = 4.358898944 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = 4.358898944 + -1 Combine like terms: 1 + -1 = 0 0 + n = 4.358898944 + -1 n = 4.358898944 + -1 Combine like terms: 4.358898944 + -1 = 3.358898944 n = 3.358898944 Simplifying n = 3.358898944Subproblem 2
n + 1 = -4.358898944 Simplifying n + 1 = -4.358898944 Reorder the terms: 1 + n = -4.358898944 Solving 1 + n = -4.358898944 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + n = -4.358898944 + -1 Combine like terms: 1 + -1 = 0 0 + n = -4.358898944 + -1 n = -4.358898944 + -1 Combine like terms: -4.358898944 + -1 = -5.358898944 n = -5.358898944 Simplifying n = -5.358898944Solution
The solution to the problem is based on the solutions from the subproblems. n = {3.358898944, -5.358898944}Solution
n = {3.358898944, -5.358898944}
| 9=w+5 | | k/-4=-1 | | a-9=-2 | | 2x+10+2x-10+y+20=180 | | x-7y=-75 | | -7+m=-14 | | n/-6=4 | | 2x^3+24x-4cos(3.14/2)x | | 6/x=42 | | -9=n-9 | | d+8=-2 | | b/2=-6 | | x-7=-34 | | 6+9x=51 | | 28+x=160 | | 3+a=8 | | d+10=6 | | w-7=4 | | d-1=-1 | | w+1=9 | | -2(2x+3)=-12 | | -6+4(-9x+6)=10 | | d+9=13 | | 4n^2+4n-36=0 | | -4=m-4 | | 18=w+9 | | a-6=-15 | | w-10=-7 | | m/-2=-1 | | 17=b+8 | | 7d=42 | | w+4=14 |