If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3r2 + -72r = -123 Reorder the terms: -72r + 3r2 = -123 Solving -72r + 3r2 = -123 Solving for variable 'r'. Reorder the terms: 123 + -72r + 3r2 = -123 + 123 Combine like terms: -123 + 123 = 0 123 + -72r + 3r2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(41 + -24r + r2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(41 + -24r + r2)' equal to zero and attempt to solve: Simplifying 41 + -24r + r2 = 0 Solving 41 + -24r + r2 = 0 Begin completing the square. Move the constant term to the right: Add '-41' to each side of the equation. 41 + -24r + -41 + r2 = 0 + -41 Reorder the terms: 41 + -41 + -24r + r2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -24r + r2 = 0 + -41 -24r + r2 = 0 + -41 Combine like terms: 0 + -41 = -41 -24r + r2 = -41 The r term is -24r. Take half its coefficient (-12). Square it (144) and add it to both sides. Add '144' to each side of the equation. -24r + 144 + r2 = -41 + 144 Reorder the terms: 144 + -24r + r2 = -41 + 144 Combine like terms: -41 + 144 = 103 144 + -24r + r2 = 103 Factor a perfect square on the left side: (r + -12)(r + -12) = 103 Calculate the square root of the right side: 10.148891565 Break this problem into two subproblems by setting (r + -12) equal to 10.148891565 and -10.148891565.Subproblem 1
r + -12 = 10.148891565 Simplifying r + -12 = 10.148891565 Reorder the terms: -12 + r = 10.148891565 Solving -12 + r = 10.148891565 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + r = 10.148891565 + 12 Combine like terms: -12 + 12 = 0 0 + r = 10.148891565 + 12 r = 10.148891565 + 12 Combine like terms: 10.148891565 + 12 = 22.148891565 r = 22.148891565 Simplifying r = 22.148891565Subproblem 2
r + -12 = -10.148891565 Simplifying r + -12 = -10.148891565 Reorder the terms: -12 + r = -10.148891565 Solving -12 + r = -10.148891565 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + r = -10.148891565 + 12 Combine like terms: -12 + 12 = 0 0 + r = -10.148891565 + 12 r = -10.148891565 + 12 Combine like terms: -10.148891565 + 12 = 1.851108435 r = 1.851108435 Simplifying r = 1.851108435Solution
The solution to the problem is based on the solutions from the subproblems. r = {22.148891565, 1.851108435}Solution
r = {22.148891565, 1.851108435}
| 12(7s+6)= | | 2y^2-12y=94 | | 23-15=4(x-3) | | 3x^2+18=97 | | 18-2m=6(3-7m) | | 0=36x^2+54x | | 4x=128.57 | | 2a+7+2=5+a | | 2x^2-9x-6x=-5 | | X+2.2x-3=64 | | 7x^2+5x-16=32-29x | | 8n-13=1-7n+8n | | 2d^2+24d-94=0 | | 3(4-x)-(8(7x-1))=0 | | y=12.86+1.54x | | j^2+14j=39 | | Sin(X+18)=cos(45) | | v^2+30v-41=0 | | X^2+400x-180000=0 | | 4y^8+8y^4+3=0 | | 108m=54 | | Sin(14)=sin(X) | | -3w^2+42w+111=0 | | 5x^3-2x/3x^3 | | 36x^4+2x^3-10x^2=0 | | z-9.1=-3.6 | | q^2+18q=-47 | | 2w-11w=63 | | 2h^2+20h=-18 | | 4x+12-2x+8=150 | | s^2+12s-1=0 | | f^2+8f=41 |