If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3x2 + 6x = 514 Reorder the terms: 6x + 3x2 = 514 Solving 6x + 3x2 = 514 Solving for variable 'x'. Reorder the terms: -514 + 6x + 3x2 = 514 + -514 Combine like terms: 514 + -514 = 0 -514 + 6x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -171.3333333 + 2x + x2 = 0 Move the constant term to the right: Add '171.3333333' to each side of the equation. -171.3333333 + 2x + 171.3333333 + x2 = 0 + 171.3333333 Reorder the terms: -171.3333333 + 171.3333333 + 2x + x2 = 0 + 171.3333333 Combine like terms: -171.3333333 + 171.3333333 = 0.0000000 0.0000000 + 2x + x2 = 0 + 171.3333333 2x + x2 = 0 + 171.3333333 Combine like terms: 0 + 171.3333333 = 171.3333333 2x + x2 = 171.3333333 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = 171.3333333 + 1 Reorder the terms: 1 + 2x + x2 = 171.3333333 + 1 Combine like terms: 171.3333333 + 1 = 172.3333333 1 + 2x + x2 = 172.3333333 Factor a perfect square on the left side: (x + 1)(x + 1) = 172.3333333 Calculate the square root of the right side: 13.12757911 Break this problem into two subproblems by setting (x + 1) equal to 13.12757911 and -13.12757911.Subproblem 1
x + 1 = 13.12757911 Simplifying x + 1 = 13.12757911 Reorder the terms: 1 + x = 13.12757911 Solving 1 + x = 13.12757911 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 13.12757911 + -1 Combine like terms: 1 + -1 = 0 0 + x = 13.12757911 + -1 x = 13.12757911 + -1 Combine like terms: 13.12757911 + -1 = 12.12757911 x = 12.12757911 Simplifying x = 12.12757911Subproblem 2
x + 1 = -13.12757911 Simplifying x + 1 = -13.12757911 Reorder the terms: 1 + x = -13.12757911 Solving 1 + x = -13.12757911 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = -13.12757911 + -1 Combine like terms: 1 + -1 = 0 0 + x = -13.12757911 + -1 x = -13.12757911 + -1 Combine like terms: -13.12757911 + -1 = -14.12757911 x = -14.12757911 Simplifying x = -14.12757911Solution
The solution to the problem is based on the solutions from the subproblems. x = {12.12757911, -14.12757911}
| 77-3x=3x+7 | | 10x^3+15x^2+4x+6=0 | | (Z^2)-(5z)+6=0 | | 2n^2+30n=0 | | 14+7p= | | 4n+2(d+3)=12 | | 3(a-11)=45 | | 3(2n+3)=4n+59 | | 4n+51=6n+11 | | 4d+12= | | 2-5y+y^2=0 | | 4/5x7/6 | | 3n-8=2n+7 | | (-5x)-3=y | | 4n-5-n=37 | | 5n+2n-10=74 | | (y+8)^2/11^2 | | b=-11b-7 | | 235=0+k | | B-17=-12 | | 4x-1-x=5-9x | | 4(2n+1)=60 | | 2m+3/9=7 | | 12n-9=123 | | (3y-20)+(y+10)+70=180 | | 45xy=765 | | b=-11 | | -3(x-4)+7x=12 | | 15m-5=235 | | 14+x=62 | | 0.55x+6.99=11.94 | | 18m+3=39 |