If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7n2 + -6n + -21 = 0 Reorder the terms: -21 + -6n + 7n2 = 0 Solving -21 + -6n + 7n2 = 0 Solving for variable 'n'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -3 + -0.8571428571n + n2 = 0 Move the constant term to the right: Add '3' to each side of the equation. -3 + -0.8571428571n + 3 + n2 = 0 + 3 Reorder the terms: -3 + 3 + -0.8571428571n + n2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -0.8571428571n + n2 = 0 + 3 -0.8571428571n + n2 = 0 + 3 Combine like terms: 0 + 3 = 3 -0.8571428571n + n2 = 3 The n term is -0.8571428571n. Take half its coefficient (-0.4285714286). Square it (0.1836734694) and add it to both sides. Add '0.1836734694' to each side of the equation. -0.8571428571n + 0.1836734694 + n2 = 3 + 0.1836734694 Reorder the terms: 0.1836734694 + -0.8571428571n + n2 = 3 + 0.1836734694 Combine like terms: 3 + 0.1836734694 = 3.1836734694 0.1836734694 + -0.8571428571n + n2 = 3.1836734694 Factor a perfect square on the left side: (n + -0.4285714286)(n + -0.4285714286) = 3.1836734694 Calculate the square root of the right side: 1.784285142 Break this problem into two subproblems by setting (n + -0.4285714286) equal to 1.784285142 and -1.784285142.Subproblem 1
n + -0.4285714286 = 1.784285142 Simplifying n + -0.4285714286 = 1.784285142 Reorder the terms: -0.4285714286 + n = 1.784285142 Solving -0.4285714286 + n = 1.784285142 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.4285714286' to each side of the equation. -0.4285714286 + 0.4285714286 + n = 1.784285142 + 0.4285714286 Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000 0.0000000000 + n = 1.784285142 + 0.4285714286 n = 1.784285142 + 0.4285714286 Combine like terms: 1.784285142 + 0.4285714286 = 2.2128565706 n = 2.2128565706 Simplifying n = 2.2128565706Subproblem 2
n + -0.4285714286 = -1.784285142 Simplifying n + -0.4285714286 = -1.784285142 Reorder the terms: -0.4285714286 + n = -1.784285142 Solving -0.4285714286 + n = -1.784285142 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.4285714286' to each side of the equation. -0.4285714286 + 0.4285714286 + n = -1.784285142 + 0.4285714286 Combine like terms: -0.4285714286 + 0.4285714286 = 0.0000000000 0.0000000000 + n = -1.784285142 + 0.4285714286 n = -1.784285142 + 0.4285714286 Combine like terms: -1.784285142 + 0.4285714286 = -1.3557137134 n = -1.3557137134 Simplifying n = -1.3557137134Solution
The solution to the problem is based on the solutions from the subproblems. n = {2.2128565706, -1.3557137134}
| f(x)=-6x-2 | | 3.50x+294=343 | | 2(18)+5= | | ln(5x-3)=ln(x-1) | | -4(-5+2x)=60 | | 245+15x=360 | | 15+7x=22 | | t/6-5=11 | | 9x-6=-72 | | -10(-7+c)=100 | | -(-a-7)=12 | | 1/3(15-9x)=6-3x | | 60x^6/12x^9 | | 4x=40/7 | | 9c-12= | | 2x+148=140 | | -9x+3x+17-12x= | | 4x+104=140 | | -5(6-b)=-20 | | -5(k+8)-(2+7k)=-13k | | (2x-1)(5x-1)-14x=0 | | x-6.5=7.5 | | -4(4y-7)=2y-8 | | (9-u)(5u-4)=0 | | -7p+q+4p=-4p-9 | | 3x^3+7x^2+48x-112=0 | | 2(x-25)=58 | | 15-3x=7+2x | | -3-2(x-3)-3x= | | -8v+6=-10v | | (2x-1)(5x-1)=-14x | | (4x-9)(3x+9)=0 |