If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 24x + 106 = 0 Reorder the terms: 106 + 24x + x2 = 0 Solving 106 + 24x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-106' to each side of the equation. 106 + 24x + -106 + x2 = 0 + -106 Reorder the terms: 106 + -106 + 24x + x2 = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 24x + x2 = 0 + -106 24x + x2 = 0 + -106 Combine like terms: 0 + -106 = -106 24x + x2 = -106 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -106 + 144 Reorder the terms: 144 + 24x + x2 = -106 + 144 Combine like terms: -106 + 144 = 38 144 + 24x + x2 = 38 Factor a perfect square on the left side: (x + 12)(x + 12) = 38 Calculate the square root of the right side: 6.164414003 Break this problem into two subproblems by setting (x + 12) equal to 6.164414003 and -6.164414003.Subproblem 1
x + 12 = 6.164414003 Simplifying x + 12 = 6.164414003 Reorder the terms: 12 + x = 6.164414003 Solving 12 + x = 6.164414003 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 6.164414003 + -12 Combine like terms: 12 + -12 = 0 0 + x = 6.164414003 + -12 x = 6.164414003 + -12 Combine like terms: 6.164414003 + -12 = -5.835585997 x = -5.835585997 Simplifying x = -5.835585997Subproblem 2
x + 12 = -6.164414003 Simplifying x + 12 = -6.164414003 Reorder the terms: 12 + x = -6.164414003 Solving 12 + x = -6.164414003 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = -6.164414003 + -12 Combine like terms: 12 + -12 = 0 0 + x = -6.164414003 + -12 x = -6.164414003 + -12 Combine like terms: -6.164414003 + -12 = -18.164414003 x = -18.164414003 Simplifying x = -18.164414003Solution
The solution to the problem is based on the solutions from the subproblems. x = {-5.835585997, -18.164414003}
| 14x+7x-18=0 | | 3q+11+8q= | | 9x+3=8-6x | | -9(t+6)=0 | | f(7)=3(4-7) | | 5(4+c)=4(c-6) | | 3+1=24 | | 16+8(z-2)=7z+5 | | x-2x+5=x-1 | | x-2x+5=0 | | .50x+.80(20)=.25(148) | | 8x-4x+5y-15y= | | 4(3c-1)-1=9c+7 | | (4x^2)-20x-11=0 | | 4t-2=5(t+7) | | -4x-8(-2x-4)=-42 | | 4t-2=5 | | -1=-3x+2(2x+3) | | 5x^2-54x-63=0 | | x^2+bx+144=0 | | 2m^2+km+3=0 | | w^4-15w^2-16=0 | | y=-(-1)+4 | | y=-(-2)+4 | | -1(x-3)=2 | | p(x)=0.1x^4+0.2x^3-2x^2-23x+90 | | p(x)=0.14x^4+0.2x^3-2x^2-23x+90 | | 4-x=5-2x | | 3=5(6)+b | | 4(-2x+5)=12 | | 3x+33=11x-49 | | -3(y+4)=12 |