If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying n2 + 12n + -33 = -10 Reorder the terms: -33 + 12n + n2 = -10 Solving -33 + 12n + n2 = -10 Solving for variable 'n'. Reorder the terms: -33 + 10 + 12n + n2 = -10 + 10 Combine like terms: -33 + 10 = -23 -23 + 12n + n2 = -10 + 10 Combine like terms: -10 + 10 = 0 -23 + 12n + n2 = 0 Begin completing the square. Move the constant term to the right: Add '23' to each side of the equation. -23 + 12n + 23 + n2 = 0 + 23 Reorder the terms: -23 + 23 + 12n + n2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 12n + n2 = 0 + 23 12n + n2 = 0 + 23 Combine like terms: 0 + 23 = 23 12n + n2 = 23 The n term is 12n. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12n + 36 + n2 = 23 + 36 Reorder the terms: 36 + 12n + n2 = 23 + 36 Combine like terms: 23 + 36 = 59 36 + 12n + n2 = 59 Factor a perfect square on the left side: (n + 6)(n + 6) = 59 Calculate the square root of the right side: 7.681145748 Break this problem into two subproblems by setting (n + 6) equal to 7.681145748 and -7.681145748.Subproblem 1
n + 6 = 7.681145748 Simplifying n + 6 = 7.681145748 Reorder the terms: 6 + n = 7.681145748 Solving 6 + n = 7.681145748 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = 7.681145748 + -6 Combine like terms: 6 + -6 = 0 0 + n = 7.681145748 + -6 n = 7.681145748 + -6 Combine like terms: 7.681145748 + -6 = 1.681145748 n = 1.681145748 Simplifying n = 1.681145748Subproblem 2
n + 6 = -7.681145748 Simplifying n + 6 = -7.681145748 Reorder the terms: 6 + n = -7.681145748 Solving 6 + n = -7.681145748 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + n = -7.681145748 + -6 Combine like terms: 6 + -6 = 0 0 + n = -7.681145748 + -6 n = -7.681145748 + -6 Combine like terms: -7.681145748 + -6 = -13.681145748 n = -13.681145748 Simplifying n = -13.681145748Solution
The solution to the problem is based on the solutions from the subproblems. n = {1.681145748, -13.681145748}
| 3(5x-6)=2(x+3) | | 10a^2-100a=0 | | -3/8x+41=-22 | | 4*(b-3)=b-27 | | 2x-12=0x-6 | | 11=4/5x-1 | | 7(-13)-(4(-13)-39)=0 | | 5x+11=-9 | | -2/3x+53=59 | | 3v^2+20v-7=0 | | 5/8x+13=18 | | 3s-100=2s-20 | | (x^2+x-12)/(x^2-x-6) | | 4/3x+25=33 | | 9x-17=2x+18 | | -x-10=-3x+6 | | 4m+5m=5m-12 | | -45-2x=75+6x | | (y^2)+(4y)+3=0 | | -58+5x=-2x+47 | | 3v^2+20v-7/6v^2+30v-84 | | 213-3x=33x+17 | | 4x+1/x-5-3x-4/x-5 | | -5x-16=-3x+4 | | (y^2)-(2y)-15=0 | | 454.75=1.07(x) | | x-19=-4x+26 | | 6m-19=-35+4m | | x-37=5x+11 | | 128-4x=41x+23 | | 5x+3=6x+7 | | -33+3x=-2x+22 |