If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -4k2 + 72k + 92 = 0 Reorder the terms: 92 + 72k + -4k2 = 0 Solving 92 + 72k + -4k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(23 + 18k + -1k2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(23 + 18k + -1k2)' equal to zero and attempt to solve: Simplifying 23 + 18k + -1k2 = 0 Solving 23 + 18k + -1k2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -23 + -18k + k2 = 0 Move the constant term to the right: Add '23' to each side of the equation. -23 + -18k + 23 + k2 = 0 + 23 Reorder the terms: -23 + 23 + -18k + k2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -18k + k2 = 0 + 23 -18k + k2 = 0 + 23 Combine like terms: 0 + 23 = 23 -18k + k2 = 23 The k term is -18k. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18k + 81 + k2 = 23 + 81 Reorder the terms: 81 + -18k + k2 = 23 + 81 Combine like terms: 23 + 81 = 104 81 + -18k + k2 = 104 Factor a perfect square on the left side: (k + -9)(k + -9) = 104 Calculate the square root of the right side: 10.198039027 Break this problem into two subproblems by setting (k + -9) equal to 10.198039027 and -10.198039027.Subproblem 1
k + -9 = 10.198039027 Simplifying k + -9 = 10.198039027 Reorder the terms: -9 + k = 10.198039027 Solving -9 + k = 10.198039027 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + k = 10.198039027 + 9 Combine like terms: -9 + 9 = 0 0 + k = 10.198039027 + 9 k = 10.198039027 + 9 Combine like terms: 10.198039027 + 9 = 19.198039027 k = 19.198039027 Simplifying k = 19.198039027Subproblem 2
k + -9 = -10.198039027 Simplifying k + -9 = -10.198039027 Reorder the terms: -9 + k = -10.198039027 Solving -9 + k = -10.198039027 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + k = -10.198039027 + 9 Combine like terms: -9 + 9 = 0 0 + k = -10.198039027 + 9 k = -10.198039027 + 9 Combine like terms: -10.198039027 + 9 = -1.198039027 k = -1.198039027 Simplifying k = -1.198039027Solution
The solution to the problem is based on the solutions from the subproblems. k = {19.198039027, -1.198039027}Solution
k = {19.198039027, -1.198039027}
| 7-6x=8x+1 | | (x^3)(-3x^2)=A | | 140+160+x=360 | | -2j^2-32j=-62 | | 30.3=408.0774*r^2 | | 408.0744=30.3*r^2 | | -3v(-6v^5)= | | 3(x+9)=4x-8 | | s^2+26s-27=0 | | 4+3=0.8 | | -3v(-6v^5)=r | | 60+60*0+1=0 | | 5c-7c=16 | | 2t^2+40t=42 | | x-7+6=21 | | 8x+3-2x=6x+4-7 | | r^2-24r+37=0 | | 8y+3x=5 | | n/5-2=3.5 | | z/5-2=3.5 | | m^2+12m=-29 | | 21+6y=9 | | -2g^2+52g-18=0 | | -3h^2+66h=111 | | 2x+7-5=7 | | Cos(3x)=1 | | 23/3-10x/3-4/x=0 | | 3cos(3x)=1 | | 23/3-10x/3 | | x+2x-5(2)=38 | | 23-10x/3 | | 2x-5+x(2)=38 |