If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8k2 = 4k2 + 3k + 16 Reorder the terms: 8k2 = 16 + 3k + 4k2 Solving 8k2 = 16 + 3k + 4k2 Solving for variable 'k'. Reorder the terms: -16 + -3k + 8k2 + -4k2 = 16 + 3k + 4k2 + -16 + -3k + -4k2 Combine like terms: 8k2 + -4k2 = 4k2 -16 + -3k + 4k2 = 16 + 3k + 4k2 + -16 + -3k + -4k2 Reorder the terms: -16 + -3k + 4k2 = 16 + -16 + 3k + -3k + 4k2 + -4k2 Combine like terms: 16 + -16 = 0 -16 + -3k + 4k2 = 0 + 3k + -3k + 4k2 + -4k2 -16 + -3k + 4k2 = 3k + -3k + 4k2 + -4k2 Combine like terms: 3k + -3k = 0 -16 + -3k + 4k2 = 0 + 4k2 + -4k2 -16 + -3k + 4k2 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 -16 + -3k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -4 + -0.75k + k2 = 0 Move the constant term to the right: Add '4' to each side of the equation. -4 + -0.75k + 4 + k2 = 0 + 4 Reorder the terms: -4 + 4 + -0.75k + k2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -0.75k + k2 = 0 + 4 -0.75k + k2 = 0 + 4 Combine like terms: 0 + 4 = 4 -0.75k + k2 = 4 The k term is -0.75k. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75k + 0.140625 + k2 = 4 + 0.140625 Reorder the terms: 0.140625 + -0.75k + k2 = 4 + 0.140625 Combine like terms: 4 + 0.140625 = 4.140625 0.140625 + -0.75k + k2 = 4.140625 Factor a perfect square on the left side: (k + -0.375)(k + -0.375) = 4.140625 Calculate the square root of the right side: 2.034852575 Break this problem into two subproblems by setting (k + -0.375) equal to 2.034852575 and -2.034852575.Subproblem 1
k + -0.375 = 2.034852575 Simplifying k + -0.375 = 2.034852575 Reorder the terms: -0.375 + k = 2.034852575 Solving -0.375 + k = 2.034852575 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + k = 2.034852575 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + k = 2.034852575 + 0.375 k = 2.034852575 + 0.375 Combine like terms: 2.034852575 + 0.375 = 2.409852575 k = 2.409852575 Simplifying k = 2.409852575Subproblem 2
k + -0.375 = -2.034852575 Simplifying k + -0.375 = -2.034852575 Reorder the terms: -0.375 + k = -2.034852575 Solving -0.375 + k = -2.034852575 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.375' to each side of the equation. -0.375 + 0.375 + k = -2.034852575 + 0.375 Combine like terms: -0.375 + 0.375 = 0.000 0.000 + k = -2.034852575 + 0.375 k = -2.034852575 + 0.375 Combine like terms: -2.034852575 + 0.375 = -1.659852575 k = -1.659852575 Simplifying k = -1.659852575Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.409852575, -1.659852575}
| y=0.2x^2+20 | | (4x)-(3y)=1 | | -6=-3(c+9) | | x=1y+1 | | 2n+4=3n-11 | | s-10=20.24 | | 15m+4-9m=-13 | | X^3+9=4 | | 2x(5x)=90 | | 9=3(g+4) | | 2(x+3)(x-1)= | | 9y+5=7 | | x+3+x-(8)+x=55 | | 3=2y-20 | | 10x+1+9x-11= | | 10x-15=8-2x | | 5m+4=7m+12 | | 2.50+3.50a=5.50+2.00a | | 2x-9x+7=x-6+13 | | x+3+x-(8)+x=54 | | 4(2-4)=12 | | S*7+31=178 | | 6(c+3)=-2c-4c-42 | | -x+5=x-4x | | 9x^2+4y^2+z^2-36=0 | | -25-1a=2a+20 | | 0=16.1+-4.98t | | 5(2m-3)=5m | | (9x-4)+(4x+7)= | | X^2-2x-960=0 | | 7(12-1r)=-84 | | 2x+3(x+4)=122 |