If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10x2 + 41x + 6 = 0 Reorder the terms: 6 + 41x + 10x2 = 0 Solving 6 + 41x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.6 + 4.1x + x2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + 4.1x + -0.6 + x2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + 4.1x + x2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 4.1x + x2 = 0 + -0.6 4.1x + x2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 4.1x + x2 = -0.6 The x term is 4.1x. Take half its coefficient (2.05). Square it (4.2025) and add it to both sides. Add '4.2025' to each side of the equation. 4.1x + 4.2025 + x2 = -0.6 + 4.2025 Reorder the terms: 4.2025 + 4.1x + x2 = -0.6 + 4.2025 Combine like terms: -0.6 + 4.2025 = 3.6025 4.2025 + 4.1x + x2 = 3.6025 Factor a perfect square on the left side: (x + 2.05)(x + 2.05) = 3.6025 Calculate the square root of the right side: 1.89802529 Break this problem into two subproblems by setting (x + 2.05) equal to 1.89802529 and -1.89802529.Subproblem 1
x + 2.05 = 1.89802529 Simplifying x + 2.05 = 1.89802529 Reorder the terms: 2.05 + x = 1.89802529 Solving 2.05 + x = 1.89802529 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.05' to each side of the equation. 2.05 + -2.05 + x = 1.89802529 + -2.05 Combine like terms: 2.05 + -2.05 = 0.00 0.00 + x = 1.89802529 + -2.05 x = 1.89802529 + -2.05 Combine like terms: 1.89802529 + -2.05 = -0.15197471 x = -0.15197471 Simplifying x = -0.15197471Subproblem 2
x + 2.05 = -1.89802529 Simplifying x + 2.05 = -1.89802529 Reorder the terms: 2.05 + x = -1.89802529 Solving 2.05 + x = -1.89802529 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.05' to each side of the equation. 2.05 + -2.05 + x = -1.89802529 + -2.05 Combine like terms: 2.05 + -2.05 = 0.00 0.00 + x = -1.89802529 + -2.05 x = -1.89802529 + -2.05 Combine like terms: -1.89802529 + -2.05 = -3.94802529 x = -3.94802529 Simplifying x = -3.94802529Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.15197471, -3.94802529}
| 29t-17=-86 | | 28+x=7-2x | | 3(4.50+1.50m)=1(200) | | a+4=2a+7 | | 12x+6=6x+48 | | 2x-3y=1 | | 1-(4x+5)=11-7x | | 7x-6=64 | | 20x=5x+45 | | y^2+-4y+-21=0 | | 3(4y-6)=15 | | 10t=-36 | | 3-(2x+28)=38-9x | | 0.1x+0.7y=-1.8 | | 10t=136 | | 10z-10-3z+3=0 | | 5x+6=-x+6 | | 4x+y=24 | | -3.9a=31.2 | | x+2x-4x=12 | | 0.1x+0.7y=1.8 | | [5x+12]+81=0 | | -6x+4x-7x=0 | | -3x-5=4 | | x-2=x+4 | | 3n-5=-2(n-5) | | 0.1x+0.7=-1.8 | | 6q-2=3q | | (y-2)-(7y-9)= | | 9p-4p+6=7p-3p | | -0.454545455p=-8 | | -3(2x-4)-16=8x+3 |