If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 400 = 2x2 + 12x Reorder the terms: 400 = 12x + 2x2 Solving 400 = 12x + 2x2 Solving for variable 'x'. Reorder the terms: 400 + -12x + -2x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 400 + -12x + -2x2 = 0 + 2x2 + -2x2 400 + -12x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 400 + -12x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(200 + -6x + -1x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(200 + -6x + -1x2)' equal to zero and attempt to solve: Simplifying 200 + -6x + -1x2 = 0 Solving 200 + -6x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -200 + 6x + x2 = 0 Move the constant term to the right: Add '200' to each side of the equation. -200 + 6x + 200 + x2 = 0 + 200 Reorder the terms: -200 + 200 + 6x + x2 = 0 + 200 Combine like terms: -200 + 200 = 0 0 + 6x + x2 = 0 + 200 6x + x2 = 0 + 200 Combine like terms: 0 + 200 = 200 6x + x2 = 200 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 200 + 9 Reorder the terms: 9 + 6x + x2 = 200 + 9 Combine like terms: 200 + 9 = 209 9 + 6x + x2 = 209 Factor a perfect square on the left side: (x + 3)(x + 3) = 209 Calculate the square root of the right side: 14.456832295 Break this problem into two subproblems by setting (x + 3) equal to 14.456832295 and -14.456832295.Subproblem 1
x + 3 = 14.456832295 Simplifying x + 3 = 14.456832295 Reorder the terms: 3 + x = 14.456832295 Solving 3 + x = 14.456832295 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 14.456832295 + -3 Combine like terms: 3 + -3 = 0 0 + x = 14.456832295 + -3 x = 14.456832295 + -3 Combine like terms: 14.456832295 + -3 = 11.456832295 x = 11.456832295 Simplifying x = 11.456832295Subproblem 2
x + 3 = -14.456832295 Simplifying x + 3 = -14.456832295 Reorder the terms: 3 + x = -14.456832295 Solving 3 + x = -14.456832295 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -14.456832295 + -3 Combine like terms: 3 + -3 = 0 0 + x = -14.456832295 + -3 x = -14.456832295 + -3 Combine like terms: -14.456832295 + -3 = -17.456832295 x = -17.456832295 Simplifying x = -17.456832295Solution
The solution to the problem is based on the solutions from the subproblems. x = {11.456832295, -17.456832295}Solution
x = {11.456832295, -17.456832295}
| 9=2(z-8)+5 | | -22+26y=14y+20-26y | | 12x^2+35-52x=0 | | 2(b-4)=10 | | 17-x=6 | | 2x+11=74-5 | | X^2+196=0 | | -2x+3-4x=9 | | 2x+4=-18 | | -9x-8=-17x-64 | | 9n+1.7=3.5+2.3n | | 2(r+1)=10 | | k-3k=6k+3-8k | | -6/11*z=-1/2 | | c-7/2=1 | | 6+(-3y)=-12 | | 10=2(p+3) | | A^2+21a-54=0 | | y-3=7y-21 | | (3+n)/7=-5 | | 6-(-3y)=-12 | | f+4/g=6 | | -4=6x-8(x+3) | | w/3+12=13.2 | | w/2+8.1=11.1 | | 5n^2+27n-56=0 | | N^2+15n-26=0 | | 2(2t-4)+1=16-t | | 4x-10y=-20 | | 6+9y-15y=-54 | | k/3+6.8=8.41 | | 8x-5y=-17 |