If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2k2 + 4k = 10 Reorder the terms: 4k + 2k2 = 10 Solving 4k + 2k2 = 10 Solving for variable 'k'. Reorder the terms: -10 + 4k + 2k2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 4k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 2k + k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + 2k + k2)' equal to zero and attempt to solve: Simplifying -5 + 2k + k2 = 0 Solving -5 + 2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '5' to each side of the equation. -5 + 2k + 5 + k2 = 0 + 5 Reorder the terms: -5 + 5 + 2k + k2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2k + k2 = 0 + 5 2k + k2 = 0 + 5 Combine like terms: 0 + 5 = 5 2k + k2 = 5 The k term is 2k. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2k + 1 + k2 = 5 + 1 Reorder the terms: 1 + 2k + k2 = 5 + 1 Combine like terms: 5 + 1 = 6 1 + 2k + k2 = 6 Factor a perfect square on the left side: (k + 1)(k + 1) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (k + 1) equal to 2.449489743 and -2.449489743.Subproblem 1
k + 1 = 2.449489743 Simplifying k + 1 = 2.449489743 Reorder the terms: 1 + k = 2.449489743 Solving 1 + k = 2.449489743 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k = 2.449489743 + -1 Combine like terms: 1 + -1 = 0 0 + k = 2.449489743 + -1 k = 2.449489743 + -1 Combine like terms: 2.449489743 + -1 = 1.449489743 k = 1.449489743 Simplifying k = 1.449489743Subproblem 2
k + 1 = -2.449489743 Simplifying k + 1 = -2.449489743 Reorder the terms: 1 + k = -2.449489743 Solving 1 + k = -2.449489743 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k = -2.449489743 + -1 Combine like terms: 1 + -1 = 0 0 + k = -2.449489743 + -1 k = -2.449489743 + -1 Combine like terms: -2.449489743 + -1 = -3.449489743 k = -3.449489743 Simplifying k = -3.449489743Solution
The solution to the problem is based on the solutions from the subproblems. k = {1.449489743, -3.449489743}Solution
k = {1.449489743, -3.449489743}
| -(2x+1)-(3+4x)+5x=3x-8 | | -1.25+0.15(x)=0 | | (5x-6y)(x+5y)= | | -4+2x=24 | | m^2+m-28=8 | | 3f+9=21 | | p^2-12p+11=0 | | 4+3v=-8 | | 10x^2-4x=14 | | (x)9-15=5 | | 4(w-3)=-34 | | 2y+8=38 | | -2+y=5 | | (4y+8)(4y+8)=64 | | 2y+8=238 | | -4.5x-3=12 | | -.5(d-1.5)=2.5 | | 1(4)x+10=-7 | | (-5ab)6-ab(4+1)= | | 4(2p-7)=5(10-p) | | 6x^2-14x=12 | | 3x+7-2x=0 | | X+100=-9 | | 2a(7a+6)=2 | | 231-w=276 | | 2(4u-5)=7(11-3u) | | 3c^2+8c+5=0 | | -75+6y+7=5(3y-2)-4 | | -7z-5z= | | 7x^6-12-1x^4-7= | | vx+w=5 | | 1x+4y=20 |