If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + 0.41x + -0.095 = 0 Reorder the terms: -0.095 + 0.41x + x2 = 0 Solving -0.095 + 0.41x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '0.095' to each side of the equation. -0.095 + 0.41x + 0.095 + x2 = 0 + 0.095 Reorder the terms: -0.095 + 0.095 + 0.41x + x2 = 0 + 0.095 Combine like terms: -0.095 + 0.095 = 0.000 0.000 + 0.41x + x2 = 0 + 0.095 0.41x + x2 = 0 + 0.095 Combine like terms: 0 + 0.095 = 0.095 0.41x + x2 = 0.095 The x term is 0.41x. Take half its coefficient (0.205). Square it (0.042025) and add it to both sides. Add '0.042025' to each side of the equation. 0.41x + 0.042025 + x2 = 0.095 + 0.042025 Reorder the terms: 0.042025 + 0.41x + x2 = 0.095 + 0.042025 Combine like terms: 0.095 + 0.042025 = 0.137025 0.042025 + 0.41x + x2 = 0.137025 Factor a perfect square on the left side: (x + 0.205)(x + 0.205) = 0.137025 Calculate the square root of the right side: 0.37016888 Break this problem into two subproblems by setting (x + 0.205) equal to 0.37016888 and -0.37016888.Subproblem 1
x + 0.205 = 0.37016888 Simplifying x + 0.205 = 0.37016888 Reorder the terms: 0.205 + x = 0.37016888 Solving 0.205 + x = 0.37016888 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.205' to each side of the equation. 0.205 + -0.205 + x = 0.37016888 + -0.205 Combine like terms: 0.205 + -0.205 = 0.000 0.000 + x = 0.37016888 + -0.205 x = 0.37016888 + -0.205 Combine like terms: 0.37016888 + -0.205 = 0.16516888 x = 0.16516888 Simplifying x = 0.16516888Subproblem 2
x + 0.205 = -0.37016888 Simplifying x + 0.205 = -0.37016888 Reorder the terms: 0.205 + x = -0.37016888 Solving 0.205 + x = -0.37016888 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.205' to each side of the equation. 0.205 + -0.205 + x = -0.37016888 + -0.205 Combine like terms: 0.205 + -0.205 = 0.000 0.000 + x = -0.37016888 + -0.205 x = -0.37016888 + -0.205 Combine like terms: -0.37016888 + -0.205 = -0.57516888 x = -0.57516888 Simplifying x = -0.57516888Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.16516888, -0.57516888}
| x^2+56x-1920=0 | | 5a^2=11a+12 | | x^2+2x+55=90 | | 7a^3=63a | | -x^2-x-1=0 | | 9(4x-3)=3(12x+6) | | 9(4x-3)=3(12+6) | | 3m+2(m+2)=20-(2m-5) | | 6(t-3)+6t=4(3t+3)-11 | | -(3y+1)-(-2y-4)=0 | | 17(t-5)+4t=7(3t+3)-12 | | 9+19n-4=5n+53-2n | | 3+11s-1=4s+56-2s | | -(3y+1)-(-2y-6)=0 | | y-12=-5 | | x-8.9=-6.3 | | 4+x=290 | | h=16t^2+32t+1008 | | y=-5(4)-2 | | 2y=-x+3 | | 9k-4k-8k=-15 | | 1.6q-3.5-4.5q=3.9q-1.2 | | y=-5(-2)-2 | | -3(3b+3)+(10b-9)=0 | | 10y=-5x+15 | | 4x^2+25-9=0 | | -9=4w-3 | | -10.2x=40.8 | | 5p+4p=81 | | x^2+36-4=0 | | 9z+6z=75 | | x(7x+15)=0 |