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 + 6 = 30 Reorder the terms: 6 + 4k + 2k2 = 30 Solving 6 + 4k + 2k2 = 30 Solving for variable 'k'. Reorder the terms: 6 + -30 + 4k + 2k2 = 30 + -30 Combine like terms: 6 + -30 = -24 -24 + 4k + 2k2 = 30 + -30 Combine like terms: 30 + -30 = 0 -24 + 4k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + 2k + k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + 2k + k2)' equal to zero and attempt to solve: Simplifying -12 + 2k + k2 = 0 Solving -12 + 2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '12' to each side of the equation. -12 + 2k + 12 + k2 = 0 + 12 Reorder the terms: -12 + 12 + 2k + k2 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2k + k2 = 0 + 12 2k + k2 = 0 + 12 Combine like terms: 0 + 12 = 12 2k + k2 = 12 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 = 12 + 1 Reorder the terms: 1 + 2k + k2 = 12 + 1 Combine like terms: 12 + 1 = 13 1 + 2k + k2 = 13 Factor a perfect square on the left side: (k + 1)(k + 1) = 13 Calculate the square root of the right side: 3.605551275 Break this problem into two subproblems by setting (k + 1) equal to 3.605551275 and -3.605551275.Subproblem 1
k + 1 = 3.605551275 Simplifying k + 1 = 3.605551275 Reorder the terms: 1 + k = 3.605551275 Solving 1 + k = 3.605551275 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 = 3.605551275 + -1 Combine like terms: 1 + -1 = 0 0 + k = 3.605551275 + -1 k = 3.605551275 + -1 Combine like terms: 3.605551275 + -1 = 2.605551275 k = 2.605551275 Simplifying k = 2.605551275Subproblem 2
k + 1 = -3.605551275 Simplifying k + 1 = -3.605551275 Reorder the terms: 1 + k = -3.605551275 Solving 1 + k = -3.605551275 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 = -3.605551275 + -1 Combine like terms: 1 + -1 = 0 0 + k = -3.605551275 + -1 k = -3.605551275 + -1 Combine like terms: -3.605551275 + -1 = -4.605551275 k = -4.605551275 Simplifying k = -4.605551275Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.605551275, -4.605551275}Solution
k = {2.605551275, -4.605551275}
| x+(x+8)+(x+5)=45 | | 5/x-25/11 | | 4.4254999=4y-3 | | x÷2/7=49 | | v^2+3v=-5 | | 2(2x+8)=12 | | 3y+4.4254999=10 | | x+(x+8)+(x-5)=45 | | 2x+40+8x=180 | | 6x-1=10x-45 | | -7(x+2)-15=12+1 | | p^2+17p=0 | | 0=x^2+20x-540.24 | | 2k^2+4k-24=0 | | -3/8-1/4 | | -44(x-5)=-20(x-11) | | -8(x+6)+6=-14x+6(x-9) | | 8+(-8g)=56 | | -2(-5-3x)=7x | | p/-10=-52 | | 1.50+0.60x=5.40 | | 64-3x^2=0 | | 5/30*8/29 | | -7/5g=4 | | x-1/12=11/12 | | 4.4254995=4y-3 | | 23x+30x+7x=180 | | g^2-42g=0 | | 22x=3(7x-2) | | 5+1.91x=35 | | 23x+8x+30x=180 | | -9(x+3)=9-8x |