If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4k2 + -16k = 108 Reorder the terms: -16k + 4k2 = 108 Solving -16k + 4k2 = 108 Solving for variable 'k'. Reorder the terms: -108 + -16k + 4k2 = 108 + -108 Combine like terms: 108 + -108 = 0 -108 + -16k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-27 + -4k + k2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-27 + -4k + k2)' equal to zero and attempt to solve: Simplifying -27 + -4k + k2 = 0 Solving -27 + -4k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '27' to each side of the equation. -27 + -4k + 27 + k2 = 0 + 27 Reorder the terms: -27 + 27 + -4k + k2 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4k + k2 = 0 + 27 -4k + k2 = 0 + 27 Combine like terms: 0 + 27 = 27 -4k + k2 = 27 The k term is -4k. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4k + 4 + k2 = 27 + 4 Reorder the terms: 4 + -4k + k2 = 27 + 4 Combine like terms: 27 + 4 = 31 4 + -4k + k2 = 31 Factor a perfect square on the left side: (k + -2)(k + -2) = 31 Calculate the square root of the right side: 5.567764363 Break this problem into two subproblems by setting (k + -2) equal to 5.567764363 and -5.567764363.Subproblem 1
k + -2 = 5.567764363 Simplifying k + -2 = 5.567764363 Reorder the terms: -2 + k = 5.567764363 Solving -2 + k = 5.567764363 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = 5.567764363 + 2 Combine like terms: -2 + 2 = 0 0 + k = 5.567764363 + 2 k = 5.567764363 + 2 Combine like terms: 5.567764363 + 2 = 7.567764363 k = 7.567764363 Simplifying k = 7.567764363Subproblem 2
k + -2 = -5.567764363 Simplifying k + -2 = -5.567764363 Reorder the terms: -2 + k = -5.567764363 Solving -2 + k = -5.567764363 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = -5.567764363 + 2 Combine like terms: -2 + 2 = 0 0 + k = -5.567764363 + 2 k = -5.567764363 + 2 Combine like terms: -5.567764363 + 2 = -3.567764363 k = -3.567764363 Simplifying k = -3.567764363Solution
The solution to the problem is based on the solutions from the subproblems. k = {7.567764363, -3.567764363}Solution
k = {7.567764363, -3.567764363}
| -0.5(4x-10)=15 | | 3x-[4x+2-(5x-6)]= | | 2x-5y=-8x | | s=(s-2)^1/3 | | (-4)(-4)-21=x | | 12=5x-7 | | 4+6(2-x)=x+8 | | 9x^2-5x=157 | | 2(3x-3)=5x | | 7x-12=2x+90 | | x-9+6=18 | | 2(3x-4)-4=2(x-2) | | (4x+7)+(7x-6)=78 | | 3/5x4 | | 63.11+51.89-x-46=36 | | 3y-3z=17 | | -1(4y+2)+6y=12 | | 2f^2-24f=98 | | 7+5=2x-16 | | -6i=-8+(20y)i | | -1+5x=3 | | 6s+16=4s-16 | | 7x-10=-3x-2 | | 398.4=0.83 | | Y=-1-x | | Y=2x+100000 | | (8x-17)+(5x+2)=180 | | 7y-2=10y+22 | | -88=5r+7 | | 4m/15=35 | | 3(x-2)+8=-2x+10+5x | | 28a+28= |