If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 15x + 40 = 0 Reorder the terms: 40 + 15x + x2 = 0 Solving 40 + 15x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + 15x + -40 + x2 = 0 + -40 Reorder the terms: 40 + -40 + 15x + x2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 15x + x2 = 0 + -40 15x + x2 = 0 + -40 Combine like terms: 0 + -40 = -40 15x + x2 = -40 The x term is 15x. Take half its coefficient (7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. 15x + 56.25 + x2 = -40 + 56.25 Reorder the terms: 56.25 + 15x + x2 = -40 + 56.25 Combine like terms: -40 + 56.25 = 16.25 56.25 + 15x + x2 = 16.25 Factor a perfect square on the left side: (x + 7.5)(x + 7.5) = 16.25 Calculate the square root of the right side: 4.031128874 Break this problem into two subproblems by setting (x + 7.5) equal to 4.031128874 and -4.031128874.Subproblem 1
x + 7.5 = 4.031128874 Simplifying x + 7.5 = 4.031128874 Reorder the terms: 7.5 + x = 4.031128874 Solving 7.5 + x = 4.031128874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = 4.031128874 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = 4.031128874 + -7.5 x = 4.031128874 + -7.5 Combine like terms: 4.031128874 + -7.5 = -3.468871126 x = -3.468871126 Simplifying x = -3.468871126Subproblem 2
x + 7.5 = -4.031128874 Simplifying x + 7.5 = -4.031128874 Reorder the terms: 7.5 + x = -4.031128874 Solving 7.5 + x = -4.031128874 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + x = -4.031128874 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + x = -4.031128874 + -7.5 x = -4.031128874 + -7.5 Combine like terms: -4.031128874 + -7.5 = -11.531128874 x = -11.531128874 Simplifying x = -11.531128874Solution
The solution to the problem is based on the solutions from the subproblems. x = {-3.468871126, -11.531128874}
| 10t+10= | | -3x+2y=-4 | | 21x-8=17x | | -0.1y=-11 | | 12=6m | | 121-3x=15x+17 | | -3=6 | | r*5r= | | 11-10x=47-24x | | 12x+5=6x+41 | | 10x^2-xy+4y^2=28 | | 3+4-4x=2(3x-5) | | -117-8x=9x+19 | | 12-9x=197-44x | | -80-9x=10x+15 | | 6+4(a+8)=8a+5+a | | -20x^16-6x^13= | | 154-4x=6x+24 | | 149-6x=6x+5 | | -6x-11x= | | -15-6x=13-10x | | 6-6x=10x+5 | | 0=80t-16t^2 | | 4x+(5x-4)=12-3x | | x^2+8x-2=18 | | 2x+27=9x-43 | | 4x+21=12x-67 | | 19-6x=12+x | | x+4=96 | | 8y+2(x-2y)+4y= | | x+-1=5 | | -7x-2.8=6x-13.2 |