If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8k2 = 5 + 8k Solving 8k2 = 5 + 8k Solving for variable 'k'. Reorder the terms: -5 + -8k + 8k2 = 5 + 8k + -5 + -8k Reorder the terms: -5 + -8k + 8k2 = 5 + -5 + 8k + -8k Combine like terms: 5 + -5 = 0 -5 + -8k + 8k2 = 0 + 8k + -8k -5 + -8k + 8k2 = 8k + -8k Combine like terms: 8k + -8k = 0 -5 + -8k + 8k2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -0.625 + -1k + k2 = 0 Move the constant term to the right: Add '0.625' to each side of the equation. -0.625 + -1k + 0.625 + k2 = 0 + 0.625 Reorder the terms: -0.625 + 0.625 + -1k + k2 = 0 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + -1k + k2 = 0 + 0.625 -1k + k2 = 0 + 0.625 Combine like terms: 0 + 0.625 = 0.625 -1k + k2 = 0.625 The k term is -1k. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1k + 0.25 + k2 = 0.625 + 0.25 Reorder the terms: 0.25 + -1k + k2 = 0.625 + 0.25 Combine like terms: 0.625 + 0.25 = 0.875 0.25 + -1k + k2 = 0.875 Factor a perfect square on the left side: (k + -0.5)(k + -0.5) = 0.875 Calculate the square root of the right side: 0.935414347 Break this problem into two subproblems by setting (k + -0.5) equal to 0.935414347 and -0.935414347.Subproblem 1
k + -0.5 = 0.935414347 Simplifying k + -0.5 = 0.935414347 Reorder the terms: -0.5 + k = 0.935414347 Solving -0.5 + k = 0.935414347 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + k = 0.935414347 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + k = 0.935414347 + 0.5 k = 0.935414347 + 0.5 Combine like terms: 0.935414347 + 0.5 = 1.435414347 k = 1.435414347 Simplifying k = 1.435414347Subproblem 2
k + -0.5 = -0.935414347 Simplifying k + -0.5 = -0.935414347 Reorder the terms: -0.5 + k = -0.935414347 Solving -0.5 + k = -0.935414347 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + k = -0.935414347 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + k = -0.935414347 + 0.5 k = -0.935414347 + 0.5 Combine like terms: -0.935414347 + 0.5 = -0.435414347 k = -0.435414347 Simplifying k = -0.435414347Solution
The solution to the problem is based on the solutions from the subproblems. k = {1.435414347, -0.435414347}
| cos(x)=35 | | sec^2(x)=-5/6 | | -81-10x=-x+108 | | X=7-.5Y | | 2x-3y+5x=3 | | 9a-9=-261 | | 7x-73=-5x+83 | | xy+5=0 | | 7x-145=44-2x | | 7r^2-10=8 | | 0.4x+8=1.2x-2 | | 0.2x-9=2 | | 3b^2+25b=-8 | | 7x-13=1/3x-7 | | 15y^2/9y^2 | | (1/2)x-8=2 | | 2x/6-12=8 | | y=3(x-1)(x+1) | | 33/sqrt(x-2) | | .75x+.25y=5 | | e^((-x^2)/2) | | 16-15v=-12+7 | | 3/4÷2 | | -5(-3x+10)=-15x-60 | | 2k-24=4k | | f(x)=6x^2+41x-7 | | 24-6b=2b | | g(n)=-2n+2 | | 3x+2=11x-1 | | k^2+3k-90= | | 4(2x+8)+2(2x+3)=182 | | -44-16x=-19x+4 |