If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -10 = 6n(3n + 12) Reorder the terms: -10 = 6n(12 + 3n) -10 = (12 * 6n + 3n * 6n) -10 = (72n + 18n2) Solving -10 = 72n + 18n2 Solving for variable 'n'. Reorder the terms: -10 + -72n + -18n2 = 72n + -72n + 18n2 + -18n2 Combine like terms: 72n + -72n = 0 -10 + -72n + -18n2 = 0 + 18n2 + -18n2 -10 + -72n + -18n2 = 18n2 + -18n2 Combine like terms: 18n2 + -18n2 = 0 -10 + -72n + -18n2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(5 + 36n + 9n2) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(5 + 36n + 9n2)' equal to zero and attempt to solve: Simplifying 5 + 36n + 9n2 = 0 Solving 5 + 36n + 9n2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 4n + n2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 4n + -0.5555555556 + n2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 4n + n2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 4n + n2 = 0 + -0.5555555556 4n + n2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 4n + n2 = -0.5555555556 The n term is 4n. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4n + 4 + n2 = -0.5555555556 + 4 Reorder the terms: 4 + 4n + n2 = -0.5555555556 + 4 Combine like terms: -0.5555555556 + 4 = 3.4444444444 4 + 4n + n2 = 3.4444444444 Factor a perfect square on the left side: (n + 2)(n + 2) = 3.4444444444 Calculate the square root of the right side: 1.855921454 Break this problem into two subproblems by setting (n + 2) equal to 1.855921454 and -1.855921454.Subproblem 1
n + 2 = 1.855921454 Simplifying n + 2 = 1.855921454 Reorder the terms: 2 + n = 1.855921454 Solving 2 + n = 1.855921454 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 1.855921454 + -2 Combine like terms: 2 + -2 = 0 0 + n = 1.855921454 + -2 n = 1.855921454 + -2 Combine like terms: 1.855921454 + -2 = -0.144078546 n = -0.144078546 Simplifying n = -0.144078546Subproblem 2
n + 2 = -1.855921454 Simplifying n + 2 = -1.855921454 Reorder the terms: 2 + n = -1.855921454 Solving 2 + n = -1.855921454 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = -1.855921454 + -2 Combine like terms: 2 + -2 = 0 0 + n = -1.855921454 + -2 n = -1.855921454 + -2 Combine like terms: -1.855921454 + -2 = -3.855921454 n = -3.855921454 Simplifying n = -3.855921454Solution
The solution to the problem is based on the solutions from the subproblems. n = {-0.144078546, -3.855921454}Solution
n = {-0.144078546, -3.855921454}
| -13(-5p-14)+14p= | | Z-22=14 | | 3x+4(0)=12 | | 8(x^2)+3xy-4(y^2)+12x=0 | | 27-4k=-3k | | 1.5/28 | | 4(a+6)+6=2(a-5) | | x+7(2/3x-3)=12 | | -6x+7(8x-14)= | | 4x-4(0)=12 | | 0.06-0.01(x+1)=-0.2(2-x) | | 7*2/3 | | -13+6(1+4x)= | | X+3(0)=3 | | 0+3y=3 | | 3x+5=-2x | | 12u-84=5u | | -3x+0=3 | | x-14/6=x-21/7 | | -2(w-8)+9w+1= | | -3(0)+y=3 | | 2(2x+3)-4(5x-3)=x(x-3)-x(x+5) | | 12-13(12x-2)= | | 7x(6-1)=1 | | 20x^2-28x= | | z=4x-9y | | 4x(1+1)=12 | | 6y-23-9y+38= | | 3x+1=12x-5 | | 5p-5/p*2p^2/7p-7 | | 8(1-x)=x | | 4-4y+4=2y+14-4y |