If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6n2 + -114n + 14 = 0 Reorder the terms: 14 + -114n + 6n2 = 0 Solving 14 + -114n + 6n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2'. 2(7 + -57n + 3n2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -57n + 3n2)' equal to zero and attempt to solve: Simplifying 7 + -57n + 3n2 = 0 Solving 7 + -57n + 3n2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2.333333333 + -19n + n2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + -19n + -2.333333333 + n2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + -19n + n2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + -19n + n2 = 0 + -2.333333333 -19n + n2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 -19n + n2 = -2.333333333 The n term is -19n. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19n + 90.25 + n2 = -2.333333333 + 90.25 Reorder the terms: 90.25 + -19n + n2 = -2.333333333 + 90.25 Combine like terms: -2.333333333 + 90.25 = 87.916666667 90.25 + -19n + n2 = 87.916666667 Factor a perfect square on the left side: (n + -9.5)(n + -9.5) = 87.916666667 Calculate the square root of the right side: 9.376388786 Break this problem into two subproblems by setting (n + -9.5) equal to 9.376388786 and -9.376388786.Subproblem 1
n + -9.5 = 9.376388786 Simplifying n + -9.5 = 9.376388786 Reorder the terms: -9.5 + n = 9.376388786 Solving -9.5 + n = 9.376388786 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + n = 9.376388786 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + n = 9.376388786 + 9.5 n = 9.376388786 + 9.5 Combine like terms: 9.376388786 + 9.5 = 18.876388786 n = 18.876388786 Simplifying n = 18.876388786Subproblem 2
n + -9.5 = -9.376388786 Simplifying n + -9.5 = -9.376388786 Reorder the terms: -9.5 + n = -9.376388786 Solving -9.5 + n = -9.376388786 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9.5' to each side of the equation. -9.5 + 9.5 + n = -9.376388786 + 9.5 Combine like terms: -9.5 + 9.5 = 0.0 0.0 + n = -9.376388786 + 9.5 n = -9.376388786 + 9.5 Combine like terms: -9.376388786 + 9.5 = 0.123611214 n = 0.123611214 Simplifying n = 0.123611214Solution
The solution to the problem is based on the solutions from the subproblems. n = {18.876388786, 0.123611214}Solution
n = {18.876388786, 0.123611214}
| -12(x+6)=3x-49 | | 1.6q-1.8-3.5q=-2.9q-5.9 | | 7/9+2/3(w-12)+5/9w=(5w+10) | | 70+(0.5x)=20+x | | 4m-16= | | 6x^2=38x-40 | | 19x+5=12x+47 | | v+7+3=13-5v-6+3v | | 5(x-8)+26=-29 | | 9+x=23 | | (3x-4)-1(5x-8)=-1(x+12)-6x+1 | | 325=5x^3 | | 10-(17u-9)+10u=14(u+2)+9 | | 7y^2-2y-9=0 | | 4y^2+25=0 | | 65=x^3 | | 3(2x-5)+31=70 | | 25x^2-4x+9=-34x | | n-31=-34 | | 5/12y-2/3=-7/12y-5/6 | | 10d+17=-2d+2(6d-3) | | 0.75x-0.25=0.75 | | 4x+2-3x+5= | | 25x^2-4x+1=-14x | | 0.75x-1/4=0.75 | | -1/4+(-1/8) | | 3+3/5x=16/5 | | 2+3n-7n=3-3n | | 6x^2=34x-20 | | 5/12+4/23 | | 3+3/5x+16/5 | | 11/9u+7/11=u-32/9 |