If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = x * x + 7x + -400 Multiply x * x 0 = x2 + 7x + -400 Reorder the terms: 0 = -400 + 7x + x2 Solving 0 = -400 + 7x + x2 Solving for variable 'x'. Combine like terms: 0 + 400 = 400 400 + -7x + -1x2 = -400 + 7x + x2 + 400 + -7x + -1x2 Reorder the terms: 400 + -7x + -1x2 = -400 + 400 + 7x + -7x + x2 + -1x2 Combine like terms: -400 + 400 = 0 400 + -7x + -1x2 = 0 + 7x + -7x + x2 + -1x2 400 + -7x + -1x2 = 7x + -7x + x2 + -1x2 Combine like terms: 7x + -7x = 0 400 + -7x + -1x2 = 0 + x2 + -1x2 400 + -7x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 400 + -7x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -400 + 7x + x2 = 0 Move the constant term to the right: Add '400' to each side of the equation. -400 + 7x + 400 + x2 = 0 + 400 Reorder the terms: -400 + 400 + 7x + x2 = 0 + 400 Combine like terms: -400 + 400 = 0 0 + 7x + x2 = 0 + 400 7x + x2 = 0 + 400 Combine like terms: 0 + 400 = 400 7x + x2 = 400 The x term is 7x. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7x + 12.25 + x2 = 400 + 12.25 Reorder the terms: 12.25 + 7x + x2 = 400 + 12.25 Combine like terms: 400 + 12.25 = 412.25 12.25 + 7x + x2 = 412.25 Factor a perfect square on the left side: (x + 3.5)(x + 3.5) = 412.25 Calculate the square root of the right side: 20.303940504 Break this problem into two subproblems by setting (x + 3.5) equal to 20.303940504 and -20.303940504.Subproblem 1
x + 3.5 = 20.303940504 Simplifying x + 3.5 = 20.303940504 Reorder the terms: 3.5 + x = 20.303940504 Solving 3.5 + x = 20.303940504 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = 20.303940504 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = 20.303940504 + -3.5 x = 20.303940504 + -3.5 Combine like terms: 20.303940504 + -3.5 = 16.803940504 x = 16.803940504 Simplifying x = 16.803940504Subproblem 2
x + 3.5 = -20.303940504 Simplifying x + 3.5 = -20.303940504 Reorder the terms: 3.5 + x = -20.303940504 Solving 3.5 + x = -20.303940504 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5' to each side of the equation. 3.5 + -3.5 + x = -20.303940504 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + x = -20.303940504 + -3.5 x = -20.303940504 + -3.5 Combine like terms: -20.303940504 + -3.5 = -23.803940504 x = -23.803940504 Simplifying x = -23.803940504Solution
The solution to the problem is based on the solutions from the subproblems. x = {16.803940504, -23.803940504}
| 0=x*2+7x-400 | | 5(3y+2)-8y=4(3y+2)-5y | | 2x+9x=20 | | 6(y-2)=-15y | | 3x+2=18.5 | | x^2-7x=-5 | | 14c+32=-18c | | 8(y-7)=-15y | | -(6y+3)-(-5y-5)=0 | | 8(y-5)=-15y | | 15z^2-26z+4=-4 | | 6x-2y+6=0 | | y=8(20)-130 | | 14c+21=-18c-11 | | 18t^2+9t+20=0 | | 11x+6+3=0 | | =48/2*(9+3) | | 8y-7=-15y | | 2x^2+2y^2-8x-4y+9=0 | | =48/2(9+3) | | 2x^2+2y^2-8x+4y+9=0 | | (h^6n/r)^7 | | 1/2p-7=27 | | y=65-5z | | 3m-4= | | 10m^2-10m+5=0 | | 2t^2+4+8=0 | | 2t^2+4+-8=0 | | 3-6(x-1)=2x-2(x+1) | | 22x+18(8x-130)=980 | | 9(y-4)=-4y | | 9+3r-2=7r+14-3r |