If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + -47x + -512 = 0 Reorder the terms: -512 + -47x + 6x2 = 0 Solving -512 + -47x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -85.33333333 + -7.833333333x + x2 = 0 Move the constant term to the right: Add '85.33333333' to each side of the equation. -85.33333333 + -7.833333333x + 85.33333333 + x2 = 0 + 85.33333333 Reorder the terms: -85.33333333 + 85.33333333 + -7.833333333x + x2 = 0 + 85.33333333 Combine like terms: -85.33333333 + 85.33333333 = 0.00000000 0.00000000 + -7.833333333x + x2 = 0 + 85.33333333 -7.833333333x + x2 = 0 + 85.33333333 Combine like terms: 0 + 85.33333333 = 85.33333333 -7.833333333x + x2 = 85.33333333 The x term is -7.833333333x. Take half its coefficient (-3.916666667). Square it (15.34027778) and add it to both sides. Add '15.34027778' to each side of the equation. -7.833333333x + 15.34027778 + x2 = 85.33333333 + 15.34027778 Reorder the terms: 15.34027778 + -7.833333333x + x2 = 85.33333333 + 15.34027778 Combine like terms: 85.33333333 + 15.34027778 = 100.67361111 15.34027778 + -7.833333333x + x2 = 100.67361111 Factor a perfect square on the left side: (x + -3.916666667)(x + -3.916666667) = 100.67361111 Calculate the square root of the right side: 10.033624027 Break this problem into two subproblems by setting (x + -3.916666667) equal to 10.033624027 and -10.033624027.Subproblem 1
x + -3.916666667 = 10.033624027 Simplifying x + -3.916666667 = 10.033624027 Reorder the terms: -3.916666667 + x = 10.033624027 Solving -3.916666667 + x = 10.033624027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.916666667' to each side of the equation. -3.916666667 + 3.916666667 + x = 10.033624027 + 3.916666667 Combine like terms: -3.916666667 + 3.916666667 = 0.000000000 0.000000000 + x = 10.033624027 + 3.916666667 x = 10.033624027 + 3.916666667 Combine like terms: 10.033624027 + 3.916666667 = 13.950290694 x = 13.950290694 Simplifying x = 13.950290694Subproblem 2
x + -3.916666667 = -10.033624027 Simplifying x + -3.916666667 = -10.033624027 Reorder the terms: -3.916666667 + x = -10.033624027 Solving -3.916666667 + x = -10.033624027 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.916666667' to each side of the equation. -3.916666667 + 3.916666667 + x = -10.033624027 + 3.916666667 Combine like terms: -3.916666667 + 3.916666667 = 0.000000000 0.000000000 + x = -10.033624027 + 3.916666667 x = -10.033624027 + 3.916666667 Combine like terms: -10.033624027 + 3.916666667 = -6.11695736 x = -6.11695736 Simplifying x = -6.11695736Solution
The solution to the problem is based on the solutions from the subproblems. x = {13.950290694, -6.11695736}
| 6x^2-10x+7=0 | | x^2=-3+4x | | 30000=-275000+45000x | | 0.1x^3-0.2749x^2-0.6598x-1.3772=0 | | -5=11-7x-9x | | 76-6x=9x+6 | | -10y+427=70y+144 | | b-15=-12 | | k^2+6k=7 | | x^3+4x^2+2x=0 | | -275000+45000=0 | | -9-6w+30= | | k^2-6k=7 | | (7b-9)-2(3b+4)=-5 | | 6x-3.5=14.5 | | 5x+6x-12-8x-24= | | 5t-7=-27 | | 2y-6=4y+6 | | 1/2(2n-4)-2n | | 3x+5x=84 | | 2x-2/5+7.5 | | 2x-2/5+7/5 | | 7(7x-6)=154 | | 2x-2/5=75 | | 2+2n=3n-(3n+4) | | 9x^4+15x^2-1=0 | | 6(k-7)=-84 | | -2a+8+9a=6a-3a | | 2x+11=6x+1 | | -s=70 | | 145-7x=20x+19 | | 6.4x+2=5.4x |