If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 169x2 + 884x + 115 = 0 Reorder the terms: 115 + 884x + 169x2 = 0 Solving 115 + 884x + 169x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 169 the coefficient of the squared term: Divide each side by '169'. 0.6804733728 + 5.230769231x + x2 = 0 Move the constant term to the right: Add '-0.6804733728' to each side of the equation. 0.6804733728 + 5.230769231x + -0.6804733728 + x2 = 0 + -0.6804733728 Reorder the terms: 0.6804733728 + -0.6804733728 + 5.230769231x + x2 = 0 + -0.6804733728 Combine like terms: 0.6804733728 + -0.6804733728 = 0.0000000000 0.0000000000 + 5.230769231x + x2 = 0 + -0.6804733728 5.230769231x + x2 = 0 + -0.6804733728 Combine like terms: 0 + -0.6804733728 = -0.6804733728 5.230769231x + x2 = -0.6804733728 The x term is 5.230769231x. Take half its coefficient (2.615384616). Square it (6.840236690) and add it to both sides. Add '6.840236690' to each side of the equation. 5.230769231x + 6.840236690 + x2 = -0.6804733728 + 6.840236690 Reorder the terms: 6.840236690 + 5.230769231x + x2 = -0.6804733728 + 6.840236690 Combine like terms: -0.6804733728 + 6.840236690 = 6.1597633172 6.840236690 + 5.230769231x + x2 = 6.1597633172 Factor a perfect square on the left side: (x + 2.615384616)(x + 2.615384616) = 6.1597633172 Calculate the square root of the right side: 2.481887048 Break this problem into two subproblems by setting (x + 2.615384616) equal to 2.481887048 and -2.481887048.Subproblem 1
x + 2.615384616 = 2.481887048 Simplifying x + 2.615384616 = 2.481887048 Reorder the terms: 2.615384616 + x = 2.481887048 Solving 2.615384616 + x = 2.481887048 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.615384616' to each side of the equation. 2.615384616 + -2.615384616 + x = 2.481887048 + -2.615384616 Combine like terms: 2.615384616 + -2.615384616 = 0.000000000 0.000000000 + x = 2.481887048 + -2.615384616 x = 2.481887048 + -2.615384616 Combine like terms: 2.481887048 + -2.615384616 = -0.133497568 x = -0.133497568 Simplifying x = -0.133497568Subproblem 2
x + 2.615384616 = -2.481887048 Simplifying x + 2.615384616 = -2.481887048 Reorder the terms: 2.615384616 + x = -2.481887048 Solving 2.615384616 + x = -2.481887048 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.615384616' to each side of the equation. 2.615384616 + -2.615384616 + x = -2.481887048 + -2.615384616 Combine like terms: 2.615384616 + -2.615384616 = 0.000000000 0.000000000 + x = -2.481887048 + -2.615384616 x = -2.481887048 + -2.615384616 Combine like terms: -2.481887048 + -2.615384616 = -5.097271664 x = -5.097271664 Simplifying x = -5.097271664Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.133497568, -5.097271664}
| 66-3x=15x+20 | | x+(x-8)=29 | | 7-8x=69-22x | | -2.21x+8.65=3.69x-7.78 | | 9y+2=8y-4 | | -6x-2=9x^2+6x+1 | | 3x+2-1.7x=0.6x+31.4 | | x^2+12x-1260=0 | | 2.8-0.9=5.2x-3.3 | | -6*-6+5*-6-2= | | x^2+3*x+2=0 | | -0.7+1.6=-1.7-1.5b | | -5x^2+2x+0=0 | | 7x-5=7(x+8) | | 5(6+6)= | | 3x-9=-36 | | .4(x+300)=.46x-324 | | 3x-9=-336 | | 9(5d-6)= | | 6(3x-8)-8=6(x-2)+28 | | 2(6c+2)= | | 2x+y+12=100 | | -5*-5+9*-5-6= | | m^2+5m+4=0 | | 7-7X=31-14X | | -20-5=7-8X | | 0.3x-7=4 | | -6x-2=9x+1 | | 2n=5n-15 | | -6+5n=3n-2 | | 16x^2+80x=0 | | 5x-1=74-10x |