If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (2x + 3)(x + 7) = 1600 Reorder the terms: (3 + 2x)(x + 7) = 1600 Reorder the terms: (3 + 2x)(7 + x) = 1600 Multiply (3 + 2x) * (7 + x) (3(7 + x) + 2x * (7 + x)) = 1600 ((7 * 3 + x * 3) + 2x * (7 + x)) = 1600 ((21 + 3x) + 2x * (7 + x)) = 1600 (21 + 3x + (7 * 2x + x * 2x)) = 1600 (21 + 3x + (14x + 2x2)) = 1600 Combine like terms: 3x + 14x = 17x (21 + 17x + 2x2) = 1600 Solving 21 + 17x + 2x2 = 1600 Solving for variable 'x'. Reorder the terms: 21 + -1600 + 17x + 2x2 = 1600 + -1600 Combine like terms: 21 + -1600 = -1579 -1579 + 17x + 2x2 = 1600 + -1600 Combine like terms: 1600 + -1600 = 0 -1579 + 17x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -789.5 + 8.5x + x2 = 0 Move the constant term to the right: Add '789.5' to each side of the equation. -789.5 + 8.5x + 789.5 + x2 = 0 + 789.5 Reorder the terms: -789.5 + 789.5 + 8.5x + x2 = 0 + 789.5 Combine like terms: -789.5 + 789.5 = 0.0 0.0 + 8.5x + x2 = 0 + 789.5 8.5x + x2 = 0 + 789.5 Combine like terms: 0 + 789.5 = 789.5 8.5x + x2 = 789.5 The x term is 8.5x. Take half its coefficient (4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. 8.5x + 18.0625 + x2 = 789.5 + 18.0625 Reorder the terms: 18.0625 + 8.5x + x2 = 789.5 + 18.0625 Combine like terms: 789.5 + 18.0625 = 807.5625 18.0625 + 8.5x + x2 = 807.5625 Factor a perfect square on the left side: (x + 4.25)(x + 4.25) = 807.5625 Calculate the square root of the right side: 28.417644167 Break this problem into two subproblems by setting (x + 4.25) equal to 28.417644167 and -28.417644167.Subproblem 1
x + 4.25 = 28.417644167 Simplifying x + 4.25 = 28.417644167 Reorder the terms: 4.25 + x = 28.417644167 Solving 4.25 + x = 28.417644167 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + x = 28.417644167 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + x = 28.417644167 + -4.25 x = 28.417644167 + -4.25 Combine like terms: 28.417644167 + -4.25 = 24.167644167 x = 24.167644167 Simplifying x = 24.167644167Subproblem 2
x + 4.25 = -28.417644167 Simplifying x + 4.25 = -28.417644167 Reorder the terms: 4.25 + x = -28.417644167 Solving 4.25 + x = -28.417644167 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.25' to each side of the equation. 4.25 + -4.25 + x = -28.417644167 + -4.25 Combine like terms: 4.25 + -4.25 = 0.00 0.00 + x = -28.417644167 + -4.25 x = -28.417644167 + -4.25 Combine like terms: -28.417644167 + -4.25 = -32.667644167 x = -32.667644167 Simplifying x = -32.667644167Solution
The solution to the problem is based on the solutions from the subproblems. x = {24.167644167, -32.667644167}
| 4x-(10-x)=7.5 | | w^2-4w-21=0 | | 15-3c-12=5+c | | 4x-(10-x)= | | 8x^2+4x+2=0 | | 6n-27=0 | | .3(3w+45)=.9w+13.5 | | -8y+6=-6 | | -10y+7=-6 | | 10*546x+a=55 | | -9x-6=-3 | | 2x^2+5x+28=0 | | -2x+2=5 | | 7x-7=-9 | | -10x+7=-4 | | -300-(-140)= | | -6x+7=-6 | | 2x-7=-32-3x | | 2(x+4)+16=0 | | 2h+2+2h+h+5= | | -9y+4=2 | | 10y+4=8 | | 8s+5+3s+10= | | 12+(-3)+5= | | 2(x-11)-15-x=8-3(5x-2) | | y+14=17 | | x+19=-5 | | t^2+10t=0 | | s^2+14s=0 | | 8x-6=5x | | y-3=-4 | | y-16=-18 |