If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 5)(x + -6) = 41 Reorder the terms: (5 + x)(x + -6) = 41 Reorder the terms: (5 + x)(-6 + x) = 41 Multiply (5 + x) * (-6 + x) (5(-6 + x) + x(-6 + x)) = 41 ((-6 * 5 + x * 5) + x(-6 + x)) = 41 ((-30 + 5x) + x(-6 + x)) = 41 (-30 + 5x + (-6 * x + x * x)) = 41 (-30 + 5x + (-6x + x2)) = 41 Combine like terms: 5x + -6x = -1x (-30 + -1x + x2) = 41 Solving -30 + -1x + x2 = 41 Solving for variable 'x'. Reorder the terms: -30 + -41 + -1x + x2 = 41 + -41 Combine like terms: -30 + -41 = -71 -71 + -1x + x2 = 41 + -41 Combine like terms: 41 + -41 = 0 -71 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '71' to each side of the equation. -71 + -1x + 71 + x2 = 0 + 71 Reorder the terms: -71 + 71 + -1x + x2 = 0 + 71 Combine like terms: -71 + 71 = 0 0 + -1x + x2 = 0 + 71 -1x + x2 = 0 + 71 Combine like terms: 0 + 71 = 71 -1x + x2 = 71 The x term is -1x. 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. -1x + 0.25 + x2 = 71 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 71 + 0.25 Combine like terms: 71 + 0.25 = 71.25 0.25 + -1x + x2 = 71.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 71.25 Calculate the square root of the right side: 8.440971508 Break this problem into two subproblems by setting (x + -0.5) equal to 8.440971508 and -8.440971508.Subproblem 1
x + -0.5 = 8.440971508 Simplifying x + -0.5 = 8.440971508 Reorder the terms: -0.5 + x = 8.440971508 Solving -0.5 + x = 8.440971508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 8.440971508 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 8.440971508 + 0.5 x = 8.440971508 + 0.5 Combine like terms: 8.440971508 + 0.5 = 8.940971508 x = 8.940971508 Simplifying x = 8.940971508Subproblem 2
x + -0.5 = -8.440971508 Simplifying x + -0.5 = -8.440971508 Reorder the terms: -0.5 + x = -8.440971508 Solving -0.5 + x = -8.440971508 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -8.440971508 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -8.440971508 + 0.5 x = -8.440971508 + 0.5 Combine like terms: -8.440971508 + 0.5 = -7.940971508 x = -7.940971508 Simplifying x = -7.940971508Solution
The solution to the problem is based on the solutions from the subproblems. x = {8.940971508, -7.940971508}
| -15y+11=14-16y | | 5x+4=9x+9-x | | 24x-8=-13+18x | | -16y+12=10-17y | | h=dk | | 36+2=8x+16-12 | | 3x-(2x+9)=2x-41 | | 3y-7y+5=0 | | 3*(9-2x)-24=-7*(3x-4) | | 2(4+5x)=9(x-5) | | 12x^2+9x+0=0 | | 5z^3+30z^2=135z | | 5x(7-2x)= | | x+2x+(2x-5)=35 | | -4r+5-3r=-6 | | 4x^2-7x^2-3x+6x= | | 14=5+n | | y-16=32 | | 10.5x+24(2x)=90 | | 6+3x+1-x=-3+3x+5-2x | | 13+x=43 | | x^4+256=32x^2 | | r^4+3r^3=4r^2 | | 3x^3+9x^2=5x+13 | | 22-x+4=8 | | 8z^3+32z^2=168z | | 8+x=45 | | 36-x=x+6 | | 4x^2-2kx+k-1=0 | | 10.50x+24(2x)=90 | | x^2+20x+10=23 | | 4(z+2)-2z=12 |