If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 5r2 + 50r + 125 = 100 Reorder the terms: 125 + 50r + 5r2 = 100 Solving 125 + 50r + 5r2 = 100 Solving for variable 'r'. Reorder the terms: 125 + -100 + 50r + 5r2 = 100 + -100 Combine like terms: 125 + -100 = 25 25 + 50r + 5r2 = 100 + -100 Combine like terms: 100 + -100 = 0 25 + 50r + 5r2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5 + 10r + r2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + 10r + r2)' equal to zero and attempt to solve: Simplifying 5 + 10r + r2 = 0 Solving 5 + 10r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + 10r + -5 + r2 = 0 + -5 Reorder the terms: 5 + -5 + 10r + r2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10r + r2 = 0 + -5 10r + r2 = 0 + -5 Combine like terms: 0 + -5 = -5 10r + r2 = -5 The r term is 10r. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10r + 25 + r2 = -5 + 25 Reorder the terms: 25 + 10r + r2 = -5 + 25 Combine like terms: -5 + 25 = 20 25 + 10r + r2 = 20 Factor a perfect square on the left side: (r + 5)(r + 5) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (r + 5) equal to 4.472135955 and -4.472135955.Subproblem 1
r + 5 = 4.472135955 Simplifying r + 5 = 4.472135955 Reorder the terms: 5 + r = 4.472135955 Solving 5 + r = 4.472135955 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + r = 4.472135955 + -5 r = 4.472135955 + -5 Combine like terms: 4.472135955 + -5 = -0.527864045 r = -0.527864045 Simplifying r = -0.527864045Subproblem 2
r + 5 = -4.472135955 Simplifying r + 5 = -4.472135955 Reorder the terms: 5 + r = -4.472135955 Solving 5 + r = -4.472135955 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = -4.472135955 + -5 Combine like terms: 5 + -5 = 0 0 + r = -4.472135955 + -5 r = -4.472135955 + -5 Combine like terms: -4.472135955 + -5 = -9.472135955 r = -9.472135955 Simplifying r = -9.472135955Solution
The solution to the problem is based on the solutions from the subproblems. r = {-0.527864045, -9.472135955}Solution
r = {-0.527864045, -9.472135955}
| 10+x+6x=-46 | | 2x+(5x-30)=180 | | 10+x+6x=-466 | | g+21=100 | | F(x)=-3.6x^2+4.8x | | c/10=8 | | -8x+13=-2(4x-7) | | 2x-7+2x=9 | | x+3+5x=-45 | | .25x+3=.5x-1 | | -6+3x-7x=-26 | | 8(4u+-1)+-12u=11(2u+-6) | | -10x^2-34x=12 | | 1+5x+7x=-59 | | (P+1)=7+P | | 2t^3-3t^2=0 | | 10-4x+3x=6 | | 3x+12=-51-6x | | 4(5f+3)-34= | | h-8+2=6 | | -3=5x-6x+4 | | 2+7x=-16+x | | -36x^2+30x=66 | | 4(6y+2)-10y= | | (10a+7)(3a-9)=0 | | 12y+5=4y+45 | | 5m+2m+40m+1n+7m= | | 5p+2=49-1 | | 2+2x-5x=11 | | x(10+2x)+x(6+2x)=80 | | 28x^2+x=15 | | (2ab×6b)/3a |