If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 13x + 5 = 0 Reorder the terms: 5 + 13x + x2 = 0 Solving 5 + 13x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 13x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 13x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 13x + x2 = 0 + -5 13x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 13x + x2 = -5 The x term is 13x. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13x + 42.25 + x2 = -5 + 42.25 Reorder the terms: 42.25 + 13x + x2 = -5 + 42.25 Combine like terms: -5 + 42.25 = 37.25 42.25 + 13x + x2 = 37.25 Factor a perfect square on the left side: (x + 6.5)(x + 6.5) = 37.25 Calculate the square root of the right side: 6.103277808 Break this problem into two subproblems by setting (x + 6.5) equal to 6.103277808 and -6.103277808.Subproblem 1
x + 6.5 = 6.103277808 Simplifying x + 6.5 = 6.103277808 Reorder the terms: 6.5 + x = 6.103277808 Solving 6.5 + x = 6.103277808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = 6.103277808 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = 6.103277808 + -6.5 x = 6.103277808 + -6.5 Combine like terms: 6.103277808 + -6.5 = -0.396722192 x = -0.396722192 Simplifying x = -0.396722192Subproblem 2
x + 6.5 = -6.103277808 Simplifying x + 6.5 = -6.103277808 Reorder the terms: 6.5 + x = -6.103277808 Solving 6.5 + x = -6.103277808 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + x = -6.103277808 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + x = -6.103277808 + -6.5 x = -6.103277808 + -6.5 Combine like terms: -6.103277808 + -6.5 = -12.603277808 x = -12.603277808 Simplifying x = -12.603277808Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.396722192, -12.603277808}
| -0.5m-7=12 | | 3q+5=19 | | 4a^2-(23a+4)(34a-6)=12 | | 4p^2+4p=15 | | 4p^2+4p= | | 20-a=5a-4 | | 21a^2+25=30a | | 2y^2+3=-8y | | 9k^2-13k+4= | | c(r)=6.28r | | 2+9(t-8)=5(t+1)+5 | | 8x+3=5x+18 | | 9x^2=64 | | 13-9x=163-44x | | (x+3)(x)(x+1)= | | 1=3y+6 | | 10c^2+41c-18=0 | | 25d+0.45=40d+0.25 | | -2d^2+8d= | | -a^2+5a-6= | | 4x+15=7x+3 | | 30=5x-20 | | 15+2y=7y-10 | | 10v^2+20v-2=8 | | n^2-n=56 | | w/7=40 | | 3(a-8)=12(2a+5) | | (x+9)(2x-3)=0 | | 7x+4y=6.40 | | 5p=-65 | | 4t^2+17-12=0 | | r^2-2r-15=0 |