If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + 31)(6x + 5) = 180 Reorder the terms: (31 + 4x)(6x + 5) = 180 Reorder the terms: (31 + 4x)(5 + 6x) = 180 Multiply (31 + 4x) * (5 + 6x) (31(5 + 6x) + 4x * (5 + 6x)) = 180 ((5 * 31 + 6x * 31) + 4x * (5 + 6x)) = 180 ((155 + 186x) + 4x * (5 + 6x)) = 180 (155 + 186x + (5 * 4x + 6x * 4x)) = 180 (155 + 186x + (20x + 24x2)) = 180 Combine like terms: 186x + 20x = 206x (155 + 206x + 24x2) = 180 Solving 155 + 206x + 24x2 = 180 Solving for variable 'x'. Reorder the terms: 155 + -180 + 206x + 24x2 = 180 + -180 Combine like terms: 155 + -180 = -25 -25 + 206x + 24x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -25 + 206x + 24x2 = 0 Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. -1.041666667 + 8.583333333x + x2 = 0 Move the constant term to the right: Add '1.041666667' to each side of the equation. -1.041666667 + 8.583333333x + 1.041666667 + x2 = 0 + 1.041666667 Reorder the terms: -1.041666667 + 1.041666667 + 8.583333333x + x2 = 0 + 1.041666667 Combine like terms: -1.041666667 + 1.041666667 = 0.000000000 0.000000000 + 8.583333333x + x2 = 0 + 1.041666667 8.583333333x + x2 = 0 + 1.041666667 Combine like terms: 0 + 1.041666667 = 1.041666667 8.583333333x + x2 = 1.041666667 The x term is 8.583333333x. Take half its coefficient (4.291666667). Square it (18.41840278) and add it to both sides. Add '18.41840278' to each side of the equation. 8.583333333x + 18.41840278 + x2 = 1.041666667 + 18.41840278 Reorder the terms: 18.41840278 + 8.583333333x + x2 = 1.041666667 + 18.41840278 Combine like terms: 1.041666667 + 18.41840278 = 19.460069447 18.41840278 + 8.583333333x + x2 = 19.460069447 Factor a perfect square on the left side: (x + 4.291666667)(x + 4.291666667) = 19.460069447 Calculate the square root of the right side: 4.411356871 Break this problem into two subproblems by setting (x + 4.291666667) equal to 4.411356871 and -4.411356871.Subproblem 1
x + 4.291666667 = 4.411356871 Simplifying x + 4.291666667 = 4.411356871 Reorder the terms: 4.291666667 + x = 4.411356871 Solving 4.291666667 + x = 4.411356871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.291666667' to each side of the equation. 4.291666667 + -4.291666667 + x = 4.411356871 + -4.291666667 Combine like terms: 4.291666667 + -4.291666667 = 0.000000000 0.000000000 + x = 4.411356871 + -4.291666667 x = 4.411356871 + -4.291666667 Combine like terms: 4.411356871 + -4.291666667 = 0.119690204 x = 0.119690204 Simplifying x = 0.119690204Subproblem 2
x + 4.291666667 = -4.411356871 Simplifying x + 4.291666667 = -4.411356871 Reorder the terms: 4.291666667 + x = -4.411356871 Solving 4.291666667 + x = -4.411356871 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.291666667' to each side of the equation. 4.291666667 + -4.291666667 + x = -4.411356871 + -4.291666667 Combine like terms: 4.291666667 + -4.291666667 = 0.000000000 0.000000000 + x = -4.411356871 + -4.291666667 x = -4.411356871 + -4.291666667 Combine like terms: -4.411356871 + -4.291666667 = -8.703023538 x = -8.703023538 Simplifying x = -8.703023538Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.119690204, -8.703023538}
| 7y-(4y-3)=18 | | 12x-30=-150 | | 7r-5r+7=6r+7-r | | y=(cos(6x))-(cotg(2x)) | | 3(2x+1)=6(4x-2)+10+x | | 3x+75=300 | | 120=5(4-4k) | | 20+6s=-10 | | 34-20f=-18f | | 2=4-1 | | R+3.5=4 | | -2x+45=15 | | 8+4x-9x-2=7x-10-5x | | 3x^2+15x-196=0 | | -6(x+8)-42=3-57 | | P=-5q+8 | | 8-x-6= | | -6(x-8)-42=3-57 | | 2m-7m=2+4m-6 | | 11=14-h | | 8n=6n+4 | | d=17d-16d | | 10x+100=-100 | | 6n^2-32n+32=0 | | 51-s=159 | | -2=-2-7 | | 36-16=x | | F(-2)=75x+45 | | 16-36=x | | 48-y=5y | | P=-5+8 | | 188=-x+286 |