If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 11x + -45 = 0 Reorder the terms: -45 + 11x + x2 = 0 Solving -45 + 11x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '45' to each side of the equation. -45 + 11x + 45 + x2 = 0 + 45 Reorder the terms: -45 + 45 + 11x + x2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 11x + x2 = 0 + 45 11x + x2 = 0 + 45 Combine like terms: 0 + 45 = 45 11x + x2 = 45 The x term is 11x. Take half its coefficient (5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. 11x + 30.25 + x2 = 45 + 30.25 Reorder the terms: 30.25 + 11x + x2 = 45 + 30.25 Combine like terms: 45 + 30.25 = 75.25 30.25 + 11x + x2 = 75.25 Factor a perfect square on the left side: (x + 5.5)(x + 5.5) = 75.25 Calculate the square root of the right side: 8.674675786 Break this problem into two subproblems by setting (x + 5.5) equal to 8.674675786 and -8.674675786.Subproblem 1
x + 5.5 = 8.674675786 Simplifying x + 5.5 = 8.674675786 Reorder the terms: 5.5 + x = 8.674675786 Solving 5.5 + x = 8.674675786 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = 8.674675786 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = 8.674675786 + -5.5 x = 8.674675786 + -5.5 Combine like terms: 8.674675786 + -5.5 = 3.174675786 x = 3.174675786 Simplifying x = 3.174675786Subproblem 2
x + 5.5 = -8.674675786 Simplifying x + 5.5 = -8.674675786 Reorder the terms: 5.5 + x = -8.674675786 Solving 5.5 + x = -8.674675786 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + x = -8.674675786 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + x = -8.674675786 + -5.5 x = -8.674675786 + -5.5 Combine like terms: -8.674675786 + -5.5 = -14.174675786 x = -14.174675786 Simplifying x = -14.174675786Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.174675786, -14.174675786}
| 4x^2+30x+60=0 | | 3x^2+30x+60=0 | | 5/6+1/10 | | 3x^2+30x+40=0 | | 7x-4x-3=24 | | 4x^2+30x+40=0 | | (6/x)+(8/x+5)=3 | | 4x^2+30x+75=0 | | 4x^2+25x+75=0 | | 3x^2+25x+75=0 | | 4(7x+3)=236 | | 6x^2+25x+75=0 | | 2x^2+25x+75=0 | | 1/5-1/7 | | 5(8-6x)=-140 | | 5x^2+20x+75=0 | | 0*x=1/2 | | 5x^2+25x+75=0 | | 2e^3x=8 | | 4x^2+25x+120=0 | | 4x^2+14x+120=0 | | n(10n+8)=0 | | 4x^2+14+120=0 | | 2z+5=11 | | 4x^2+14+107=0 | | z=X/y | | 4(4+5)+3=35 | | 4x^2+12+86=0 | | 1/2-4/9 | | .5b+7=10 | | 3x^2+12+86=0 | | 21x^2+14x/7x |