If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2r2 + 4r + -130 = 0 Reorder the terms: -130 + 4r + 2r2 = 0 Solving -130 + 4r + 2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(-65 + 2r + r2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-65 + 2r + r2)' equal to zero and attempt to solve: Simplifying -65 + 2r + r2 = 0 Solving -65 + 2r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '65' to each side of the equation. -65 + 2r + 65 + r2 = 0 + 65 Reorder the terms: -65 + 65 + 2r + r2 = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 2r + r2 = 0 + 65 2r + r2 = 0 + 65 Combine like terms: 0 + 65 = 65 2r + r2 = 65 The r term is 2r. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2r + 1 + r2 = 65 + 1 Reorder the terms: 1 + 2r + r2 = 65 + 1 Combine like terms: 65 + 1 = 66 1 + 2r + r2 = 66 Factor a perfect square on the left side: (r + 1)(r + 1) = 66 Calculate the square root of the right side: 8.124038405 Break this problem into two subproblems by setting (r + 1) equal to 8.124038405 and -8.124038405.Subproblem 1
r + 1 = 8.124038405 Simplifying r + 1 = 8.124038405 Reorder the terms: 1 + r = 8.124038405 Solving 1 + r = 8.124038405 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 8.124038405 + -1 Combine like terms: 1 + -1 = 0 0 + r = 8.124038405 + -1 r = 8.124038405 + -1 Combine like terms: 8.124038405 + -1 = 7.124038405 r = 7.124038405 Simplifying r = 7.124038405Subproblem 2
r + 1 = -8.124038405 Simplifying r + 1 = -8.124038405 Reorder the terms: 1 + r = -8.124038405 Solving 1 + r = -8.124038405 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = -8.124038405 + -1 Combine like terms: 1 + -1 = 0 0 + r = -8.124038405 + -1 r = -8.124038405 + -1 Combine like terms: -8.124038405 + -1 = -9.124038405 r = -9.124038405 Simplifying r = -9.124038405Solution
The solution to the problem is based on the solutions from the subproblems. r = {7.124038405, -9.124038405}Solution
r = {7.124038405, -9.124038405}
| 5=-10x+18 | | y=-10(-32)+18 | | 7x+12=9x+16 | | 10+2e^8x= | | 2(x-3)-(5x+3)=10 | | r^2+4r-130=0 | | 16-2x=-14 | | 8(2x+6)=3x-4 | | 7x-4-3x=36 | | 0.14-0.88w=0.13w+3.14 | | sin(7x)=sin(2x) | | X-5X^2-76=0 | | 1+2=6-3 | | 5sin(x)+2=sin(x) | | 4.8+1.9x=2.9x | | x^4+20x+30=0 | | 0.75y+9=-0.33y+6 | | 100=30n-20 | | 7.84+y=14.84 | | .75y=5.25 | | y-15.14=-8.14 | | -4(t-5)-3= | | XB=15 | | 2(x+3)-(5x+3)=10 | | 6x+.75=5x | | -4-0.5=8 | | 3r^2-2r-1=0 | | 2x^2-10.2x+16=0 | | 2x^2-10.5x+16=0 | | 6t-4=-20 | | 4.2+1.3x=2.3x | | 6*-2-4=-20 |