If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 9n + 68 = 7n(n + -2) Reorder the terms: 68 + 9n = 7n(n + -2) Reorder the terms: 68 + 9n = 7n(-2 + n) 68 + 9n = (-2 * 7n + n * 7n) 68 + 9n = (-14n + 7n2) Solving 68 + 9n = -14n + 7n2 Solving for variable 'n'. Combine like terms: 9n + 14n = 23n 68 + 23n + -7n2 = -14n + 7n2 + 14n + -7n2 Reorder the terms: 68 + 23n + -7n2 = -14n + 14n + 7n2 + -7n2 Combine like terms: -14n + 14n = 0 68 + 23n + -7n2 = 0 + 7n2 + -7n2 68 + 23n + -7n2 = 7n2 + -7n2 Combine like terms: 7n2 + -7n2 = 0 68 + 23n + -7n2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. -9.714285714 + -3.285714286n + n2 = 0 Move the constant term to the right: Add '9.714285714' to each side of the equation. -9.714285714 + -3.285714286n + 9.714285714 + n2 = 0 + 9.714285714 Reorder the terms: -9.714285714 + 9.714285714 + -3.285714286n + n2 = 0 + 9.714285714 Combine like terms: -9.714285714 + 9.714285714 = 0.000000000 0.000000000 + -3.285714286n + n2 = 0 + 9.714285714 -3.285714286n + n2 = 0 + 9.714285714 Combine like terms: 0 + 9.714285714 = 9.714285714 -3.285714286n + n2 = 9.714285714 The n term is -3.285714286n. Take half its coefficient (-1.642857143). Square it (2.698979592) and add it to both sides. Add '2.698979592' to each side of the equation. -3.285714286n + 2.698979592 + n2 = 9.714285714 + 2.698979592 Reorder the terms: 2.698979592 + -3.285714286n + n2 = 9.714285714 + 2.698979592 Combine like terms: 9.714285714 + 2.698979592 = 12.413265306 2.698979592 + -3.285714286n + n2 = 12.413265306 Factor a perfect square on the left side: (n + -1.642857143)(n + -1.642857143) = 12.413265306 Calculate the square root of the right side: 3.523246416 Break this problem into two subproblems by setting (n + -1.642857143) equal to 3.523246416 and -3.523246416.Subproblem 1
n + -1.642857143 = 3.523246416 Simplifying n + -1.642857143 = 3.523246416 Reorder the terms: -1.642857143 + n = 3.523246416 Solving -1.642857143 + n = 3.523246416 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.642857143' to each side of the equation. -1.642857143 + 1.642857143 + n = 3.523246416 + 1.642857143 Combine like terms: -1.642857143 + 1.642857143 = 0.000000000 0.000000000 + n = 3.523246416 + 1.642857143 n = 3.523246416 + 1.642857143 Combine like terms: 3.523246416 + 1.642857143 = 5.166103559 n = 5.166103559 Simplifying n = 5.166103559Subproblem 2
n + -1.642857143 = -3.523246416 Simplifying n + -1.642857143 = -3.523246416 Reorder the terms: -1.642857143 + n = -3.523246416 Solving -1.642857143 + n = -3.523246416 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '1.642857143' to each side of the equation. -1.642857143 + 1.642857143 + n = -3.523246416 + 1.642857143 Combine like terms: -1.642857143 + 1.642857143 = 0.000000000 0.000000000 + n = -3.523246416 + 1.642857143 n = -3.523246416 + 1.642857143 Combine like terms: -3.523246416 + 1.642857143 = -1.880389273 n = -1.880389273 Simplifying n = -1.880389273Solution
The solution to the problem is based on the solutions from the subproblems. n = {5.166103559, -1.880389273}
| -2x^2+360x-3400=0 | | 6.7x+4.65=-53.64 | | 9-8x=3-2x | | m/5-m=4 | | -4/11z=-1/2 | | 5x+7=-6+3x+25 | | 7(3-7y)+9y=-19 | | -3(x+2)-45=8-38 | | 9x+8-8x=15 | | 16m^2-25/36 | | 3[2-4(y-1)]=2y+8 | | (x^3+3)(x^6-7)= | | 3-2d+6=12 | | 3-2d+6=123 | | 2(w+w+12)=100 | | .032=.65*(X+.7*X-.06*.7) | | 4x-9=7x-6 | | 8x+6y=150 | | 14xy-35xy-63x= | | 4x+10y=250 | | 2x(x^2+6x-9)= | | -3y^2+48=0 | | x^2-7x+35=0 | | (8xz-7x+6)-(2xz-x)= | | (5a-8)-(a+6)= | | 6-3x/-4x+1 | | 5b^2-11b=12 | | -(7a-5)= | | (6+3x)(6-5x)= | | x+(3x-2)+2(4x-7)= | | (-9z-6z+9)+(-16z+9z+5)= | | (6r^2)+3r-4=0 |