If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5r2 + 25r + 26 = 0 Reorder the terms: 26 + 25r + 5r2 = 0 Solving 26 + 25r + 5r2 = 0 Solving for variable 'r'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 5.2 + 5r + r2 = 0 Move the constant term to the right: Add '-5.2' to each side of the equation. 5.2 + 5r + -5.2 + r2 = 0 + -5.2 Reorder the terms: 5.2 + -5.2 + 5r + r2 = 0 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + 5r + r2 = 0 + -5.2 5r + r2 = 0 + -5.2 Combine like terms: 0 + -5.2 = -5.2 5r + r2 = -5.2 The r term is 5r. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5r + 6.25 + r2 = -5.2 + 6.25 Reorder the terms: 6.25 + 5r + r2 = -5.2 + 6.25 Combine like terms: -5.2 + 6.25 = 1.05 6.25 + 5r + r2 = 1.05 Factor a perfect square on the left side: (r + 2.5)(r + 2.5) = 1.05 Calculate the square root of the right side: 1.024695077 Break this problem into two subproblems by setting (r + 2.5) equal to 1.024695077 and -1.024695077.Subproblem 1
r + 2.5 = 1.024695077 Simplifying r + 2.5 = 1.024695077 Reorder the terms: 2.5 + r = 1.024695077 Solving 2.5 + r = 1.024695077 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + r = 1.024695077 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + r = 1.024695077 + -2.5 r = 1.024695077 + -2.5 Combine like terms: 1.024695077 + -2.5 = -1.475304923 r = -1.475304923 Simplifying r = -1.475304923Subproblem 2
r + 2.5 = -1.024695077 Simplifying r + 2.5 = -1.024695077 Reorder the terms: 2.5 + r = -1.024695077 Solving 2.5 + r = -1.024695077 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + r = -1.024695077 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + r = -1.024695077 + -2.5 r = -1.024695077 + -2.5 Combine like terms: -1.024695077 + -2.5 = -3.524695077 r = -3.524695077 Simplifying r = -3.524695077Solution
The solution to the problem is based on the solutions from the subproblems. r = {-1.475304923, -3.524695077}
| (x-5)2=26 | | 3x-4(x+5)=7(x-3)-4(2x-12) | | -8+3x=x-6+8 | | 3k-15=6 | | 9(4x-1)=3(12x+2) | | 10x+x^2=42 | | 6+2p-5=8p+7-5p | | -(x+8)=3(x-12) | | 5x^2=24 | | 12t-2t^2=16 | | 24.5y-15.12x=123.9 | | 2s+18s=160 | | 7[x-(2x+3)]=9-4x | | 7t-3=11 | | 2x+18s=160 | | 24.5x-15.12y=123.9 | | -6w-3=9 | | 3(x-2)=12(x+1) | | -11.1=99.9 | | 2t=-36 | | 3(1-x)=18 | | -3x+5=18 | | 3x^2=84-9x | | w-10=12 | | 4.5q-3.1-4.7q=-1.2q-3.6 | | 5g+9=24 | | 3s=4 | | -12x+2(4+3x)=x-2(4+x) | | 7x-3=2-3x | | 1/2+x=5/8 | | (a+b)x=10 | | -3x+5=21 |