If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 7n2 + -3n + -14 = 21 Reorder the terms: -14 + -3n + 7n2 = 21 Solving -14 + -3n + 7n2 = 21 Solving for variable 'n'. Reorder the terms: -14 + -21 + -3n + 7n2 = 21 + -21 Combine like terms: -14 + -21 = -35 -35 + -3n + 7n2 = 21 + -21 Combine like terms: 21 + -21 = 0 -35 + -3n + 7n2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. -5 + -0.4285714286n + n2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -0.4285714286n + 5 + n2 = 0 + 5 Reorder the terms: -5 + 5 + -0.4285714286n + n2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -0.4285714286n + n2 = 0 + 5 -0.4285714286n + n2 = 0 + 5 Combine like terms: 0 + 5 = 5 -0.4285714286n + n2 = 5 The n term is -0.4285714286n. Take half its coefficient (-0.2142857143). Square it (0.04591836735) and add it to both sides. Add '0.04591836735' to each side of the equation. -0.4285714286n + 0.04591836735 + n2 = 5 + 0.04591836735 Reorder the terms: 0.04591836735 + -0.4285714286n + n2 = 5 + 0.04591836735 Combine like terms: 5 + 0.04591836735 = 5.04591836735 0.04591836735 + -0.4285714286n + n2 = 5.04591836735 Factor a perfect square on the left side: (n + -0.2142857143)(n + -0.2142857143) = 5.04591836735 Calculate the square root of the right side: 2.246312171 Break this problem into two subproblems by setting (n + -0.2142857143) equal to 2.246312171 and -2.246312171.Subproblem 1
n + -0.2142857143 = 2.246312171 Simplifying n + -0.2142857143 = 2.246312171 Reorder the terms: -0.2142857143 + n = 2.246312171 Solving -0.2142857143 + n = 2.246312171 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + n = 2.246312171 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + n = 2.246312171 + 0.2142857143 n = 2.246312171 + 0.2142857143 Combine like terms: 2.246312171 + 0.2142857143 = 2.4605978853 n = 2.4605978853 Simplifying n = 2.4605978853Subproblem 2
n + -0.2142857143 = -2.246312171 Simplifying n + -0.2142857143 = -2.246312171 Reorder the terms: -0.2142857143 + n = -2.246312171 Solving -0.2142857143 + n = -2.246312171 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.2142857143' to each side of the equation. -0.2142857143 + 0.2142857143 + n = -2.246312171 + 0.2142857143 Combine like terms: -0.2142857143 + 0.2142857143 = 0.0000000000 0.0000000000 + n = -2.246312171 + 0.2142857143 n = -2.246312171 + 0.2142857143 Combine like terms: -2.246312171 + 0.2142857143 = -2.0320264567 n = -2.0320264567 Simplifying n = -2.0320264567Solution
The solution to the problem is based on the solutions from the subproblems. n = {2.4605978853, -2.0320264567}
| 12+4(z-3)=-4z+7 | | 25c=7c+234 | | 3n+2n=35 | | -5+6y-9y-8= | | 4y=12y+3 | | (x*x)-x-6=6 | | 21.50=4f-2.50 | | -5y+7x=12 | | 15B-5b=110 | | P+10=19 | | X+4y-7=0 | | 20-x=60-y | | x+48=4x | | 24=8y-6x | | P+10= | | 10x+2x=84 | | S(9)=32 | | 4y-(6-9y)=12(5+2y) | | 6(-2x+5)=-8 | | x+y+z+w=20 | | 6x-95=5x-49 | | 3x+21=y | | 4x^2-16x+20=5 | | -7(8n-m)=0 | | n-17=15 | | 8s+9=7s+b | | 0=-16x^2-22x+220 | | 19x-98=5x | | -8y+83=85 | | (b-10)+(b+10)=180 | | 576=0.5a(36) | | 4m-8+3m+17=180 |