If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + 40k = 29 Reorder the terms: 40k + 4k2 = 29 Solving 40k + 4k2 = 29 Solving for variable 'k'. Reorder the terms: -29 + 40k + 4k2 = 29 + -29 Combine like terms: 29 + -29 = 0 -29 + 40k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -7.25 + 10k + k2 = 0 Move the constant term to the right: Add '7.25' to each side of the equation. -7.25 + 10k + 7.25 + k2 = 0 + 7.25 Reorder the terms: -7.25 + 7.25 + 10k + k2 = 0 + 7.25 Combine like terms: -7.25 + 7.25 = 0.00 0.00 + 10k + k2 = 0 + 7.25 10k + k2 = 0 + 7.25 Combine like terms: 0 + 7.25 = 7.25 10k + k2 = 7.25 The k term is 10k. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10k + 25 + k2 = 7.25 + 25 Reorder the terms: 25 + 10k + k2 = 7.25 + 25 Combine like terms: 7.25 + 25 = 32.25 25 + 10k + k2 = 32.25 Factor a perfect square on the left side: (k + 5)(k + 5) = 32.25 Calculate the square root of the right side: 5.678908346 Break this problem into two subproblems by setting (k + 5) equal to 5.678908346 and -5.678908346.Subproblem 1
k + 5 = 5.678908346 Simplifying k + 5 = 5.678908346 Reorder the terms: 5 + k = 5.678908346 Solving 5 + k = 5.678908346 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 5.678908346 + -5 Combine like terms: 5 + -5 = 0 0 + k = 5.678908346 + -5 k = 5.678908346 + -5 Combine like terms: 5.678908346 + -5 = 0.678908346 k = 0.678908346 Simplifying k = 0.678908346Subproblem 2
k + 5 = -5.678908346 Simplifying k + 5 = -5.678908346 Reorder the terms: 5 + k = -5.678908346 Solving 5 + k = -5.678908346 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = -5.678908346 + -5 Combine like terms: 5 + -5 = 0 0 + k = -5.678908346 + -5 k = -5.678908346 + -5 Combine like terms: -5.678908346 + -5 = -10.678908346 k = -10.678908346 Simplifying k = -10.678908346Solution
The solution to the problem is based on the solutions from the subproblems. k = {0.678908346, -10.678908346}
| 6x+x^2+9=0 | | 2x+5=2(x+3) | | y-5x^2=x^2-10x+2 | | t^2-14t+45=0 | | 2x-5(-6)=20 | | 4g+2(-8+3g)=1-g | | 8x-12y=8 | | 6=11-4y-5y | | 6=1-4y-5y | | 1z-6z=20+16 | | 9x=30+5x | | 4w(5w-4)=0 | | 4s+8/5=2 | | 8-2(2-3)=5z | | -12x-18y=-54 | | -1/6(x-12)+1/2(x+2)=x+3 | | .07x+.09(8000-x)=680 | | -5(8+5r)=-40-5r | | 14-6x/2=10 | | p-2(-5+6p)=-5(1+2p) | | 6a+5/7=5 | | 2(x+3)+6=7x-5(x-4) | | 7n-35=5(6+8n)+1 | | 7y-6x=82 | | -4-3x=-2 | | -2k-9=-2(1+k) | | 6(m+3)=48m | | 3g-3(-7-2g)=1-g | | -4x-9x^3=0 | | 3y+(x-2)=180 | | 23-8b=-7(b-3) | | a^6+7a^3=6 |