If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3k2 + -22k + 7 = 4 Reorder the terms: 7 + -22k + 3k2 = 4 Solving 7 + -22k + 3k2 = 4 Solving for variable 'k'. Reorder the terms: 7 + -4 + -22k + 3k2 = 4 + -4 Combine like terms: 7 + -4 = 3 3 + -22k + 3k2 = 4 + -4 Combine like terms: 4 + -4 = 0 3 + -22k + 3k2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 1 + -7.333333333k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -7.333333333k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + -7.333333333k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7.333333333k + k2 = 0 + -1 -7.333333333k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7.333333333k + k2 = -1 The k term is -7.333333333k. Take half its coefficient (-3.666666667). Square it (13.44444445) and add it to both sides. Add '13.44444445' to each side of the equation. -7.333333333k + 13.44444445 + k2 = -1 + 13.44444445 Reorder the terms: 13.44444445 + -7.333333333k + k2 = -1 + 13.44444445 Combine like terms: -1 + 13.44444445 = 12.44444445 13.44444445 + -7.333333333k + k2 = 12.44444445 Factor a perfect square on the left side: (k + -3.666666667)(k + -3.666666667) = 12.44444445 Calculate the square root of the right side: 3.527668416 Break this problem into two subproblems by setting (k + -3.666666667) equal to 3.527668416 and -3.527668416.Subproblem 1
k + -3.666666667 = 3.527668416 Simplifying k + -3.666666667 = 3.527668416 Reorder the terms: -3.666666667 + k = 3.527668416 Solving -3.666666667 + k = 3.527668416 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.666666667' to each side of the equation. -3.666666667 + 3.666666667 + k = 3.527668416 + 3.666666667 Combine like terms: -3.666666667 + 3.666666667 = 0.000000000 0.000000000 + k = 3.527668416 + 3.666666667 k = 3.527668416 + 3.666666667 Combine like terms: 3.527668416 + 3.666666667 = 7.194335083 k = 7.194335083 Simplifying k = 7.194335083Subproblem 2
k + -3.666666667 = -3.527668416 Simplifying k + -3.666666667 = -3.527668416 Reorder the terms: -3.666666667 + k = -3.527668416 Solving -3.666666667 + k = -3.527668416 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3.666666667' to each side of the equation. -3.666666667 + 3.666666667 + k = -3.527668416 + 3.666666667 Combine like terms: -3.666666667 + 3.666666667 = 0.000000000 0.000000000 + k = -3.527668416 + 3.666666667 k = -3.527668416 + 3.666666667 Combine like terms: -3.527668416 + 3.666666667 = 0.138998251 k = 0.138998251 Simplifying k = 0.138998251Solution
The solution to the problem is based on the solutions from the subproblems. k = {7.194335083, 0.138998251}
| 2+3+3(11)= | | 1/5*3750 | | 35=1/2×7h | | 144-52=8x | | y=27229+1080x | | 3x-2=26-4x | | 16-9b=-8b+17 | | (4-4)7+3= | | 1500+14x=0 | | 4m+13=7m-2 | | 2-2(x+2)=-8x-20 | | 3-2(x-1)=x-10 | | 4a+16=32 | | 5x-9x=13x | | 3m+22=6m-5 | | x^2-40x+96= | | 1x+2=4x+23 | | 7x-3(x-8)=-5 | | -6y-8y=12 | | 10y-4=6y-18 | | Y=3t-5 | | 4x^3-16x^2+21x-9=0 | | (25-x)-1/4x≥17 | | x+7.5=14.3 | | -4(z+3)+5=6z+33 | | -(5-2b)=13b+6 | | t^2-8t=-36 | | x^5+12x^2-5x=0 | | x^2-ax-12=0 | | -9x+11x=20 | | 3p-3=5p+13 | | 0.09(y-6)+0.34y=0.03y-0.05 |