If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6 = 21x + -16x2 Solving 6 = 21x + -16x2 Solving for variable 'x'. Reorder the terms: 6 + -21x + 16x2 = 21x + -21x + -16x2 + 16x2 Combine like terms: 21x + -21x = 0 6 + -21x + 16x2 = 0 + -16x2 + 16x2 6 + -21x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 6 + -21x + 16x2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.375 + -1.3125x + x2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -1.3125x + -0.375 + x2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -1.3125x + x2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -1.3125x + x2 = 0 + -0.375 -1.3125x + x2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -1.3125x + x2 = -0.375 The x term is -1.3125x. Take half its coefficient (-0.65625). Square it (0.4306640625) and add it to both sides. Add '0.4306640625' to each side of the equation. -1.3125x + 0.4306640625 + x2 = -0.375 + 0.4306640625 Reorder the terms: 0.4306640625 + -1.3125x + x2 = -0.375 + 0.4306640625 Combine like terms: -0.375 + 0.4306640625 = 0.0556640625 0.4306640625 + -1.3125x + x2 = 0.0556640625 Factor a perfect square on the left side: (x + -0.65625)(x + -0.65625) = 0.0556640625 Calculate the square root of the right side: 0.235932326 Break this problem into two subproblems by setting (x + -0.65625) equal to 0.235932326 and -0.235932326.Subproblem 1
x + -0.65625 = 0.235932326 Simplifying x + -0.65625 = 0.235932326 Reorder the terms: -0.65625 + x = 0.235932326 Solving -0.65625 + x = 0.235932326 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + x = 0.235932326 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + x = 0.235932326 + 0.65625 x = 0.235932326 + 0.65625 Combine like terms: 0.235932326 + 0.65625 = 0.892182326 x = 0.892182326 Simplifying x = 0.892182326Subproblem 2
x + -0.65625 = -0.235932326 Simplifying x + -0.65625 = -0.235932326 Reorder the terms: -0.65625 + x = -0.235932326 Solving -0.65625 + x = -0.235932326 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.65625' to each side of the equation. -0.65625 + 0.65625 + x = -0.235932326 + 0.65625 Combine like terms: -0.65625 + 0.65625 = 0.00000 0.00000 + x = -0.235932326 + 0.65625 x = -0.235932326 + 0.65625 Combine like terms: -0.235932326 + 0.65625 = 0.420317674 x = 0.420317674 Simplifying x = 0.420317674Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.892182326, 0.420317674}
| -6+6n+4-1=4n+5n | | 5(6+3k)=15 | | 3x-6-6=-18 | | -6-4a=-8-3a | | 5(4c-3)+11=3(2-3(2c+8c-1)+5c) | | 72x+60=72x+18+30x | | 3x-15=60 | | 7(2x-13)=245 | | 10+7v=6v+6v | | 37-6n=-5-6(4n-4) | | 37-6n=-5-5(4n-4) | | 5x-3(x+2)/10=-1/2 | | -15-7x=-6x-7 | | a+5=-a+5 | | 16y=-4 | | -8k=0 | | 7(b-5)=-84 | | 2-(7m-2)=-17/2 | | -3k-5k=0 | | 29x-30=-20 | | 1/3-1/2=9y-8y | | 2x-(xz+y)+2yz=0 | | 5x^4-3x^3-4x^2=0 | | -24=-8(2x+6) | | 6(x-7)+2=86 | | 84.7=-5.2x+1.1 | | x^2-10x-4071=0 | | 8x+5+4x+2=55 | | -1/2(16-2h)=11 | | 2-7(3t+2)=-5(4t+2)-2 | | (6-7i)(6-7i)= | | X^4+3x^3-19x^2-27x-90=0 |