If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -35r2 + -63r + 49 = 0 Reorder the terms: 49 + -63r + -35r2 = 0 Solving 49 + -63r + -35r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7'. 7(7 + -9r + -5r2) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(7 + -9r + -5r2)' equal to zero and attempt to solve: Simplifying 7 + -9r + -5r2 = 0 Solving 7 + -9r + -5r2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. -1.4 + 1.8r + r2 = 0 Move the constant term to the right: Add '1.4' to each side of the equation. -1.4 + 1.8r + 1.4 + r2 = 0 + 1.4 Reorder the terms: -1.4 + 1.4 + 1.8r + r2 = 0 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1.8r + r2 = 0 + 1.4 1.8r + r2 = 0 + 1.4 Combine like terms: 0 + 1.4 = 1.4 1.8r + r2 = 1.4 The r term is 1.8r. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8r + 0.81 + r2 = 1.4 + 0.81 Reorder the terms: 0.81 + 1.8r + r2 = 1.4 + 0.81 Combine like terms: 1.4 + 0.81 = 2.21 0.81 + 1.8r + r2 = 2.21 Factor a perfect square on the left side: (r + 0.9)(r + 0.9) = 2.21 Calculate the square root of the right side: 1.486606875 Break this problem into two subproblems by setting (r + 0.9) equal to 1.486606875 and -1.486606875.Subproblem 1
r + 0.9 = 1.486606875 Simplifying r + 0.9 = 1.486606875 Reorder the terms: 0.9 + r = 1.486606875 Solving 0.9 + r = 1.486606875 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + r = 1.486606875 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + r = 1.486606875 + -0.9 r = 1.486606875 + -0.9 Combine like terms: 1.486606875 + -0.9 = 0.586606875 r = 0.586606875 Simplifying r = 0.586606875Subproblem 2
r + 0.9 = -1.486606875 Simplifying r + 0.9 = -1.486606875 Reorder the terms: 0.9 + r = -1.486606875 Solving 0.9 + r = -1.486606875 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.9' to each side of the equation. 0.9 + -0.9 + r = -1.486606875 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + r = -1.486606875 + -0.9 r = -1.486606875 + -0.9 Combine like terms: -1.486606875 + -0.9 = -2.386606875 r = -2.386606875 Simplifying r = -2.386606875Solution
The solution to the problem is based on the solutions from the subproblems. r = {0.586606875, -2.386606875}Solution
r = {0.586606875, -2.386606875}
| 8x+y=116 | | -4/7y-2/5=-1/2 | | 5c+2c-10=32 | | x=30+6-5x | | 2+-5n+-2n^3=0 | | 8+4.6=y-4.6+4.6 | | 13(2x-9)=x+5 | | 3x+3x=-36 | | 6b-9+2=-24 | | (6x+2)+(-7x+8)= | | 2x+30=-20 | | 225x+180=0 | | 15=g/4 | | 36-30-4=0 | | 3x-2=3(-2/3) | | 16=a+8 | | 36/-1 | | 3(3x-1)=19 | | -12n^3-30n+12=0 | | X/-10=-1 | | X/-10=1 | | -(-14x)= | | x+(-7)=3(x+(-2)) | | 7y+28=2x | | 3i/6-5i | | sinΘ/2=√2/2 | | 3x+1=3x+11 | | -15+x=-22 | | w^2-3w-70= | | 2=x/32 | | 4b+4+3+6b= | | 22a=264 |