If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x2) + 13x = 180 Reorder the terms: 13x + (2x2) = 180 Solving 13x + (2x2) = 180 Solving for variable 'x'. Reorder the terms: -180 + 13x + (2x2) = 180 + -180 Combine like terms: 180 + -180 = 0 -180 + 13x + (2x2) = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -90 + 6.5x + x2 = 0 Move the constant term to the right: Add '90' to each side of the equation. -90 + 6.5x + 90 + x2 = 0 + 90 Reorder the terms: -90 + 90 + 6.5x + x2 = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 6.5x + x2 = 0 + 90 6.5x + x2 = 0 + 90 Combine like terms: 0 + 90 = 90 6.5x + x2 = 90 The x term is 6.5x. Take half its coefficient (3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. 6.5x + 10.5625 + x2 = 90 + 10.5625 Reorder the terms: 10.5625 + 6.5x + x2 = 90 + 10.5625 Combine like terms: 90 + 10.5625 = 100.5625 10.5625 + 6.5x + x2 = 100.5625 Factor a perfect square on the left side: ((x) + 3.25)((x) + 3.25) = 100.5625 Calculate the square root of the right side: 10.02808556 Break this problem into two subproblems by setting ((x) + 3.25) equal to 10.02808556 and -10.02808556.Subproblem 1
(x) + 3.25 = 10.02808556 Simplifying (x) + 3.25 = 10.02808556 x + 3.25 = 10.02808556 Reorder the terms: 3.25 + x = 10.02808556 Solving 3.25 + x = 10.02808556 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + x = 10.02808556 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + x = 10.02808556 + -3.25 x = 10.02808556 + -3.25 Combine like terms: 10.02808556 + -3.25 = 6.77808556 x = 6.77808556 Simplifying x = 6.77808556Subproblem 2
(x) + 3.25 = -10.02808556 Simplifying (x) + 3.25 = -10.02808556 x + 3.25 = -10.02808556 Reorder the terms: 3.25 + x = -10.02808556 Solving 3.25 + x = -10.02808556 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.25' to each side of the equation. 3.25 + -3.25 + x = -10.02808556 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + x = -10.02808556 + -3.25 x = -10.02808556 + -3.25 Combine like terms: -10.02808556 + -3.25 = -13.27808556 x = -13.27808556 Simplifying x = -13.27808556Solution
The solution to the problem is based on the solutions from the subproblems. x = {6.77808556, -13.27808556}
| 5x-(x+4)=8 | | 6x+25-6x=35 | | 1+3y=16 | | 2(3x+6)=-49+19 | | z+9/=2.1 | | 10-4s+2s= | | N+(-16)=0 | | 24a-24= | | 5z+3=5z-z | | -3a+7+4a=16-25 | | 14+7y-5= | | 5r-5s=0 | | 10x+72=23x+6 | | 3(m-2)+5=8-2(m-4) | | 3+3r=9 | | 4x+6=-1x+1 | | 17+3(c-2)-11c=-7(c+2)+14 | | 3x+5x=19+5 | | 9-K=k+3 | | 2x+z=7 | | (u+5)/8=2 | | X+14+19(3)=17 | | 1.8+9=5.7-6 | | 4n=84 | | 40-f=27 | | 4x-12=-2+21 | | 2(3n)=12 | | 2d+3=-16 | | -42=4r-18 | | 3x+2x-62=18 | | x+5+60+60x=180 | | 5s-16=37s |