If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (30 + x)(25 + x) = 1200 Multiply (30 + x) * (25 + x) (30(25 + x) + x(25 + x)) = 1200 ((25 * 30 + x * 30) + x(25 + x)) = 1200 ((750 + 30x) + x(25 + x)) = 1200 (750 + 30x + (25 * x + x * x)) = 1200 (750 + 30x + (25x + x2)) = 1200 Combine like terms: 30x + 25x = 55x (750 + 55x + x2) = 1200 Solving 750 + 55x + x2 = 1200 Solving for variable 'x'. Reorder the terms: 750 + -1200 + 55x + x2 = 1200 + -1200 Combine like terms: 750 + -1200 = -450 -450 + 55x + x2 = 1200 + -1200 Combine like terms: 1200 + -1200 = 0 -450 + 55x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '450' to each side of the equation. -450 + 55x + 450 + x2 = 0 + 450 Reorder the terms: -450 + 450 + 55x + x2 = 0 + 450 Combine like terms: -450 + 450 = 0 0 + 55x + x2 = 0 + 450 55x + x2 = 0 + 450 Combine like terms: 0 + 450 = 450 55x + x2 = 450 The x term is 55x. Take half its coefficient (27.5). Square it (756.25) and add it to both sides. Add '756.25' to each side of the equation. 55x + 756.25 + x2 = 450 + 756.25 Reorder the terms: 756.25 + 55x + x2 = 450 + 756.25 Combine like terms: 450 + 756.25 = 1206.25 756.25 + 55x + x2 = 1206.25 Factor a perfect square on the left side: (x + 27.5)(x + 27.5) = 1206.25 Calculate the square root of the right side: 34.731109974 Break this problem into two subproblems by setting (x + 27.5) equal to 34.731109974 and -34.731109974.Subproblem 1
x + 27.5 = 34.731109974 Simplifying x + 27.5 = 34.731109974 Reorder the terms: 27.5 + x = 34.731109974 Solving 27.5 + x = 34.731109974 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.5' to each side of the equation. 27.5 + -27.5 + x = 34.731109974 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + x = 34.731109974 + -27.5 x = 34.731109974 + -27.5 Combine like terms: 34.731109974 + -27.5 = 7.231109974 x = 7.231109974 Simplifying x = 7.231109974Subproblem 2
x + 27.5 = -34.731109974 Simplifying x + 27.5 = -34.731109974 Reorder the terms: 27.5 + x = -34.731109974 Solving 27.5 + x = -34.731109974 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27.5' to each side of the equation. 27.5 + -27.5 + x = -34.731109974 + -27.5 Combine like terms: 27.5 + -27.5 = 0.0 0.0 + x = -34.731109974 + -27.5 x = -34.731109974 + -27.5 Combine like terms: -34.731109974 + -27.5 = -62.231109974 x = -62.231109974 Simplifying x = -62.231109974Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.231109974, -62.231109974}
| 18-x=x/8 | | x/-2-17-13 | | 39.68/60.14,6.4/9.7 | | 100=t+99 | | 8-(2+5)= | | 2.4=t/-4.5 | | 18(-x-2)-4(-9-3x)=-14 | | 5-4y=13-2y | | 4x-3+12= | | 3x^2=142 | | v^2+9v=14 | | -2x(5x+3)-2x=2(4x+6)+2 | | x^2-300x+40000=0 | | 2w+17=-4w-25 | | 2x+4+x+10= | | y^4+2y=12 | | 2u-9=8u-21 | | 4x+1=43-2x | | y=-3(1.4)+5 | | 2(c+3)=14 | | a-25=-4 | | -8-3m=-3 | | 3n-4.2/4=-4.8 | | 49-3u=3u+7 | | 4-50/25*2-3 | | 8x-y=19 | | F(x)=-12x+7 | | 0.5x-1=0.625x | | 9x+5-4x= | | 3a+7+33+47=180 | | 3t+7-5t=16 | | 31.28+8.12x=80.00 |