If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 12 = 0.5(n2 + -1n) Reorder the terms: 12 = 0.5(-1n + n2) 12 = (-1n * 0.5 + n2 * 0.5) 12 = (-0.5n + 0.5n2) Solving 12 = -0.5n + 0.5n2 Solving for variable 'n'. Reorder the terms: 12 + 0.5n + -0.5n2 = -0.5n + 0.5n + 0.5n2 + -0.5n2 Combine like terms: -0.5n + 0.5n = 0.0 12 + 0.5n + -0.5n2 = 0.0 + 0.5n2 + -0.5n2 12 + 0.5n + -0.5n2 = 0.5n2 + -0.5n2 Combine like terms: 0.5n2 + -0.5n2 = 0.0 12 + 0.5n + -0.5n2 = 0.0 Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. -24 + -1n + n2 = 0 Move the constant term to the right: Add '24' to each side of the equation. -24 + -1n + 24 + n2 = 0 + 24 Reorder the terms: -24 + 24 + -1n + n2 = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1n + n2 = 0 + 24 -1n + n2 = 0 + 24 Combine like terms: 0 + 24 = 24 -1n + n2 = 24 The n term is -1n. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1n + 0.25 + n2 = 24 + 0.25 Reorder the terms: 0.25 + -1n + n2 = 24 + 0.25 Combine like terms: 24 + 0.25 = 24.25 0.25 + -1n + n2 = 24.25 Factor a perfect square on the left side: (n + -0.5)(n + -0.5) = 24.25 Calculate the square root of the right side: 4.924428901 Break this problem into two subproblems by setting (n + -0.5) equal to 4.924428901 and -4.924428901.Subproblem 1
n + -0.5 = 4.924428901 Simplifying n + -0.5 = 4.924428901 Reorder the terms: -0.5 + n = 4.924428901 Solving -0.5 + n = 4.924428901 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + n = 4.924428901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + n = 4.924428901 + 0.5 n = 4.924428901 + 0.5 Combine like terms: 4.924428901 + 0.5 = 5.424428901 n = 5.424428901 Simplifying n = 5.424428901Subproblem 2
n + -0.5 = -4.924428901 Simplifying n + -0.5 = -4.924428901 Reorder the terms: -0.5 + n = -4.924428901 Solving -0.5 + n = -4.924428901 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + n = -4.924428901 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + n = -4.924428901 + 0.5 n = -4.924428901 + 0.5 Combine like terms: -4.924428901 + 0.5 = -4.424428901 n = -4.424428901 Simplifying n = -4.424428901Solution
The solution to the problem is based on the solutions from the subproblems. n = {5.424428901, -4.424428901}
| 7(x-6)=3x | | (2x+4)(3x+8)= | | -120=15(x-6) | | 1.6x=12 | | 3x+4=2x-4 | | 18x-22-7x=55 | | 4c^2+2c-7= | | .12x=1 | | 24x^2+24x+9= | | 15-3a=3-7a | | .8x=19 | | 3x+3+120=8x+8 | | 4p^2+12pr+9r^2= | | 6z^2-5x+1=0 | | s^2+30s+225= | | -4(-8x+9)=-2(-7x-9) | | 2x-28x+21=7-14x | | n^2-8n+16= | | 6z=32+z | | 24x+18=35x-15 | | 1-10z+25z^2= | | 90=1.5(t^2)+8 | | x^2+1-9=0 | | a^3-18a^2=-81a | | -5(x-2)=50 | | 5c-12c=35 | | 6w+2=9w+14 | | 40x-1=39 | | 4a^2-20a+25= | | a=pir^2+pi(r)(s) | | 25=-4x-7 | | 2n^2+17n+21= |