If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5 = 10n(n + -3) + -39 Reorder the terms: 5 = 10n(-3 + n) + -39 5 = (-3 * 10n + n * 10n) + -39 5 = (-30n + 10n2) + -39 Reorder the terms: 5 = -39 + -30n + 10n2 Solving 5 = -39 + -30n + 10n2 Solving for variable 'n'. Combine like terms: 5 + 39 = 44 44 + 30n + -10n2 = -39 + -30n + 10n2 + 39 + 30n + -10n2 Reorder the terms: 44 + 30n + -10n2 = -39 + 39 + -30n + 30n + 10n2 + -10n2 Combine like terms: -39 + 39 = 0 44 + 30n + -10n2 = 0 + -30n + 30n + 10n2 + -10n2 44 + 30n + -10n2 = -30n + 30n + 10n2 + -10n2 Combine like terms: -30n + 30n = 0 44 + 30n + -10n2 = 0 + 10n2 + -10n2 44 + 30n + -10n2 = 10n2 + -10n2 Combine like terms: 10n2 + -10n2 = 0 44 + 30n + -10n2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(22 + 15n + -5n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(22 + 15n + -5n2)' equal to zero and attempt to solve: Simplifying 22 + 15n + -5n2 = 0 Solving 22 + 15n + -5n2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -4.4 + -3n + n2 = 0 Move the constant term to the right: Add '4.4' to each side of the equation. -4.4 + -3n + 4.4 + n2 = 0 + 4.4 Reorder the terms: -4.4 + 4.4 + -3n + n2 = 0 + 4.4 Combine like terms: -4.4 + 4.4 = 0.0 0.0 + -3n + n2 = 0 + 4.4 -3n + n2 = 0 + 4.4 Combine like terms: 0 + 4.4 = 4.4 -3n + n2 = 4.4 The n term is -3n. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3n + 2.25 + n2 = 4.4 + 2.25 Reorder the terms: 2.25 + -3n + n2 = 4.4 + 2.25 Combine like terms: 4.4 + 2.25 = 6.65 2.25 + -3n + n2 = 6.65 Factor a perfect square on the left side: (n + -1.5)(n + -1.5) = 6.65 Calculate the square root of the right side: 2.578759392 Break this problem into two subproblems by setting (n + -1.5) equal to 2.578759392 and -2.578759392.Subproblem 1
n + -1.5 = 2.578759392 Simplifying n + -1.5 = 2.578759392 Reorder the terms: -1.5 + n = 2.578759392 Solving -1.5 + n = 2.578759392 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + n = 2.578759392 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + n = 2.578759392 + 1.5 n = 2.578759392 + 1.5 Combine like terms: 2.578759392 + 1.5 = 4.078759392 n = 4.078759392 Simplifying n = 4.078759392Subproblem 2
n + -1.5 = -2.578759392 Simplifying n + -1.5 = -2.578759392 Reorder the terms: -1.5 + n = -2.578759392 Solving -1.5 + n = -2.578759392 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + n = -2.578759392 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + n = -2.578759392 + 1.5 n = -2.578759392 + 1.5 Combine like terms: -2.578759392 + 1.5 = -1.078759392 n = -1.078759392 Simplifying n = -1.078759392Solution
The solution to the problem is based on the solutions from the subproblems. n = {4.078759392, -1.078759392}Solution
n = {4.078759392, -1.078759392}
| -6.5c=-58 | | 12.5s=50 | | 6n=-14 | | 3(1-3y)+y=19 | | log(2)+log(11-x^2)=2log(5-2x) | | 6x-11-7x=12 | | -2x=-3x+2+7x | | e^2x=0.5 | | 2.6x^2=y^2+2y | | 5.25+3=120*4.69 | | 4x+2(22-x)=17 | | 113-(6x+11)=6(x+4)+x | | 9+x(4)=2x-3 | | 0.75(x+12)+0.75*x-x=20 | | 8h-26=46 | | -10=-5(w+13) | | 0=2x^2+8x+3 | | 3+4y=8y | | 2(3+3x)-5=13 | | 3x-(x-2)+2(2+x)=4-2x-(x+3) | | 3a*bc*4d=12abcd | | 3a*bc*4d= | | 6h+17=447 | | -32=-8(x-1) | | 8x-2y+3x-4y= | | 3v+15-9= | | 3*x+7=16 | | (4x+3)(2x+6)=0 | | 42=-14(n-11) | | 5x+4=8x+13 | | 5sinx-3=sinx | | X+53=13 |