If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (x + 4)(2x + 17) = 216 Reorder the terms: (4 + x)(2x + 17) = 216 Reorder the terms: (4 + x)(17 + 2x) = 216 Multiply (4 + x) * (17 + 2x) (4(17 + 2x) + x(17 + 2x)) = 216 ((17 * 4 + 2x * 4) + x(17 + 2x)) = 216 ((68 + 8x) + x(17 + 2x)) = 216 (68 + 8x + (17 * x + 2x * x)) = 216 (68 + 8x + (17x + 2x2)) = 216 Combine like terms: 8x + 17x = 25x (68 + 25x + 2x2) = 216 Solving 68 + 25x + 2x2 = 216 Solving for variable 'x'. Reorder the terms: 68 + -216 + 25x + 2x2 = 216 + -216 Combine like terms: 68 + -216 = -148 -148 + 25x + 2x2 = 216 + -216 Combine like terms: 216 + -216 = 0 -148 + 25x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -74 + 12.5x + x2 = 0 Move the constant term to the right: Add '74' to each side of the equation. -74 + 12.5x + 74 + x2 = 0 + 74 Reorder the terms: -74 + 74 + 12.5x + x2 = 0 + 74 Combine like terms: -74 + 74 = 0 0 + 12.5x + x2 = 0 + 74 12.5x + x2 = 0 + 74 Combine like terms: 0 + 74 = 74 12.5x + x2 = 74 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = 74 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = 74 + 39.0625 Combine like terms: 74 + 39.0625 = 113.0625 39.0625 + 12.5x + x2 = 113.0625 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = 113.0625 Calculate the square root of the right side: 10.633085159 Break this problem into two subproblems by setting (x + 6.25) equal to 10.633085159 and -10.633085159.Subproblem 1
x + 6.25 = 10.633085159 Simplifying x + 6.25 = 10.633085159 Reorder the terms: 6.25 + x = 10.633085159 Solving 6.25 + x = 10.633085159 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = 10.633085159 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = 10.633085159 + -6.25 x = 10.633085159 + -6.25 Combine like terms: 10.633085159 + -6.25 = 4.383085159 x = 4.383085159 Simplifying x = 4.383085159Subproblem 2
x + 6.25 = -10.633085159 Simplifying x + 6.25 = -10.633085159 Reorder the terms: 6.25 + x = -10.633085159 Solving 6.25 + x = -10.633085159 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = -10.633085159 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = -10.633085159 + -6.25 x = -10.633085159 + -6.25 Combine like terms: -10.633085159 + -6.25 = -16.883085159 x = -16.883085159 Simplifying x = -16.883085159Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.383085159, -16.883085159}
| x-1.3=2.6 | | 5(6x-9)=-320 | | (3y-4)(3y-2)=-(6y-5) | | 4/9=936/n | | Y-.5=sqrt(4-(x^2-.75x-.25)) | | 30/18=n/21 | | 30/18=21/n | | 30/6=15/n | | 9=2x^2+2x+1 | | 14/4=n/10 | | 2a-1/2=23/3 | | (5x^2-7x-4)+(2x^2-3x+5)-(x^2-4x-3)= | | t^2-8=7t | | 63a-7/9a^-3 | | 3x^2+19=-30 | | 74j=100 | | 74=100 | | 3x^2+79x=-30 | | 74j=257-63j | | X/7=60 | | 6x^2-7x=3x-4 | | 10/100x100 | | 2(u-2)-4u=-10 | | Log[4](2x+8)=log[4](6x-12) | | C=52.5-1.5y | | 9x-(6x+3)=4x-27 | | 3x+x+x+20=125 | | x+3y-z=-7 | | 4y+6-1=0 | | 12(x+4)=21(x+1) | | 4y+6-1=5 | | x+3x+20=125 |