If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2n2 + 12n + 15 = 3 Reorder the terms: 15 + 12n + 2n2 = 3 Solving 15 + 12n + 2n2 = 3 Solving for variable 'n'. Reorder the terms: 15 + -3 + 12n + 2n2 = 3 + -3 Combine like terms: 15 + -3 = 12 12 + 12n + 2n2 = 3 + -3 Combine like terms: 3 + -3 = 0 12 + 12n + 2n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(6 + 6n + n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + 6n + n2)' equal to zero and attempt to solve: Simplifying 6 + 6n + n2 = 0 Solving 6 + 6n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + 6n + -6 + n2 = 0 + -6 Reorder the terms: 6 + -6 + 6n + n2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6n + n2 = 0 + -6 6n + n2 = 0 + -6 Combine like terms: 0 + -6 = -6 6n + n2 = -6 The n term is 6n. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6n + 9 + n2 = -6 + 9 Reorder the terms: 9 + 6n + n2 = -6 + 9 Combine like terms: -6 + 9 = 3 9 + 6n + n2 = 3 Factor a perfect square on the left side: (n + 3)(n + 3) = 3 Calculate the square root of the right side: 1.732050808 Break this problem into two subproblems by setting (n + 3) equal to 1.732050808 and -1.732050808.Subproblem 1
n + 3 = 1.732050808 Simplifying n + 3 = 1.732050808 Reorder the terms: 3 + n = 1.732050808 Solving 3 + n = 1.732050808 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = 1.732050808 + -3 Combine like terms: 3 + -3 = 0 0 + n = 1.732050808 + -3 n = 1.732050808 + -3 Combine like terms: 1.732050808 + -3 = -1.267949192 n = -1.267949192 Simplifying n = -1.267949192Subproblem 2
n + 3 = -1.732050808 Simplifying n + 3 = -1.732050808 Reorder the terms: 3 + n = -1.732050808 Solving 3 + n = -1.732050808 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + n = -1.732050808 + -3 Combine like terms: 3 + -3 = 0 0 + n = -1.732050808 + -3 n = -1.732050808 + -3 Combine like terms: -1.732050808 + -3 = -4.732050808 n = -4.732050808 Simplifying n = -4.732050808Solution
The solution to the problem is based on the solutions from the subproblems. n = {-1.267949192, -4.732050808}Solution
n = {-1.267949192, -4.732050808}
| 2n^2+n-120=0 | | 10x^2n+47xny+42y^2n=0 | | 5g+15=2g | | -4x^3-2x+1=0 | | 6x+38=14 | | 27u^2+54uv-21v^2=0 | | 1x-2y-3z=0 | | Y^2+4Y+11=0 | | (2x-3)(x^2-5x+3)=0 | | -8-3c=19 | | ln^2x+lnx=12 | | 10x^2-21x+2=0 | | 4x-12=-30 | | 144x^2-96x-84=0 | | s^2d^2+9sd+14= | | 2-ln(3-x)=0 | | 9x^2y^2-12x^2y^2-3x^2y^2= | | a^3+1000b^3=0 | | 3e^3=10 | | 4x^2-72x+299=0 | | 20x+30(100-x)=2350 | | 4(x)=215 | | x^3+14x^2=-49x | | x^3+14x^2=-49 | | -3x^2-16x+35= | | 2x^3-10x^2-18x+10=-80 | | 2p^4-32q^4=0 | | a^6b^9-a^5b^4+a^4b^7-a^4b^4= | | 4x-1+10x-5+2x+3=21 | | 100=0.2m-(m) | | 12a^9-4a^11= | | 10x^2+48x-32=0 |