If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -7x = 252 Reorder the terms: -7x + 6x2 = 252 Solving -7x + 6x2 = 252 Solving for variable 'x'. Reorder the terms: -252 + -7x + 6x2 = 252 + -252 Combine like terms: 252 + -252 = 0 -252 + -7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -42 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '42' to each side of the equation. -42 + -1.166666667x + 42 + x2 = 0 + 42 Reorder the terms: -42 + 42 + -1.166666667x + x2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -1.166666667x + x2 = 0 + 42 -1.166666667x + x2 = 0 + 42 Combine like terms: 0 + 42 = 42 -1.166666667x + x2 = 42 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = 42 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = 42 + 0.3402777780 Combine like terms: 42 + 0.3402777780 = 42.340277778 0.3402777780 + -1.166666667x + x2 = 42.340277778 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = 42.340277778 Calculate the square root of the right side: 6.506940739 Break this problem into two subproblems by setting (x + -0.5833333335) equal to 6.506940739 and -6.506940739.Subproblem 1
x + -0.5833333335 = 6.506940739 Simplifying x + -0.5833333335 = 6.506940739 Reorder the terms: -0.5833333335 + x = 6.506940739 Solving -0.5833333335 + x = 6.506940739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5833333335' to each side of the equation. -0.5833333335 + 0.5833333335 + x = 6.506940739 + 0.5833333335 Combine like terms: -0.5833333335 + 0.5833333335 = 0.0000000000 0.0000000000 + x = 6.506940739 + 0.5833333335 x = 6.506940739 + 0.5833333335 Combine like terms: 6.506940739 + 0.5833333335 = 7.0902740725 x = 7.0902740725 Simplifying x = 7.0902740725Subproblem 2
x + -0.5833333335 = -6.506940739 Simplifying x + -0.5833333335 = -6.506940739 Reorder the terms: -0.5833333335 + x = -6.506940739 Solving -0.5833333335 + x = -6.506940739 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5833333335' to each side of the equation. -0.5833333335 + 0.5833333335 + x = -6.506940739 + 0.5833333335 Combine like terms: -0.5833333335 + 0.5833333335 = 0.0000000000 0.0000000000 + x = -6.506940739 + 0.5833333335 x = -6.506940739 + 0.5833333335 Combine like terms: -6.506940739 + 0.5833333335 = -5.9236074055 x = -5.9236074055 Simplifying x = -5.9236074055Solution
The solution to the problem is based on the solutions from the subproblems. x = {7.0902740725, -5.9236074055}
| 200y=0 | | 0=7w-31 | | y-18=-27 | | 2y+5y=8+6y | | 5+6x-6=11+5x | | s+(5s+s)=78 | | 9a^2-12a=9(a^2-1.3333333333333a) | | 16(z+3)=5(d+8) | | 1-2m+m=3-3m | | 57.50-8=4.50x | | X*2+3y*2-4y=0 | | 9x-4=-(2x+10) | | 64=9y-y | | 10w+5=7w | | 9a^2-12a=9(a^2-1.33a) | | 2a-6=14-3a | | 2v+18=16+-4(v+7) | | 42=3y+4y | | w=-21+(-4) | | -2(v-6)=-8 | | 3y-4+y+18=7y+20-5y | | 80+17x-2=32x+3 | | -0.285714r+2r=0.5r+8.5 | | 1.5x+5.5= | | 9h-3=2h | | 14x-6x=7 | | 6(4y+4)=20y+10 | | x^2+15x+30=x+6 | | 2184x^4=728x^3 | | 6c+14=9c | | 6c-5=2c+39 | | -0.285714+2r=0.5r+8.5 |