If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6x2 + 75x + -819 = 1000 Reorder the terms: -819 + 75x + 6x2 = 1000 Solving -819 + 75x + 6x2 = 1000 Solving for variable 'x'. Reorder the terms: -819 + -1000 + 75x + 6x2 = 1000 + -1000 Combine like terms: -819 + -1000 = -1819 -1819 + 75x + 6x2 = 1000 + -1000 Combine like terms: 1000 + -1000 = 0 -1819 + 75x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -303.1666667 + 12.5x + x2 = 0 Move the constant term to the right: Add '303.1666667' to each side of the equation. -303.1666667 + 12.5x + 303.1666667 + x2 = 0 + 303.1666667 Reorder the terms: -303.1666667 + 303.1666667 + 12.5x + x2 = 0 + 303.1666667 Combine like terms: -303.1666667 + 303.1666667 = 0.0000000 0.0000000 + 12.5x + x2 = 0 + 303.1666667 12.5x + x2 = 0 + 303.1666667 Combine like terms: 0 + 303.1666667 = 303.1666667 12.5x + x2 = 303.1666667 The x term is 12.5x. Take half its coefficient (6.25). Square it (39.0625) and add it to both sides. Add '39.0625' to each side of the equation. 12.5x + 39.0625 + x2 = 303.1666667 + 39.0625 Reorder the terms: 39.0625 + 12.5x + x2 = 303.1666667 + 39.0625 Combine like terms: 303.1666667 + 39.0625 = 342.2291667 39.0625 + 12.5x + x2 = 342.2291667 Factor a perfect square on the left side: (x + 6.25)(x + 6.25) = 342.2291667 Calculate the square root of the right side: 18.499436929 Break this problem into two subproblems by setting (x + 6.25) equal to 18.499436929 and -18.499436929.Subproblem 1
x + 6.25 = 18.499436929 Simplifying x + 6.25 = 18.499436929 Reorder the terms: 6.25 + x = 18.499436929 Solving 6.25 + x = 18.499436929 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = 18.499436929 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = 18.499436929 + -6.25 x = 18.499436929 + -6.25 Combine like terms: 18.499436929 + -6.25 = 12.249436929 x = 12.249436929 Simplifying x = 12.249436929Subproblem 2
x + 6.25 = -18.499436929 Simplifying x + 6.25 = -18.499436929 Reorder the terms: 6.25 + x = -18.499436929 Solving 6.25 + x = -18.499436929 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.25' to each side of the equation. 6.25 + -6.25 + x = -18.499436929 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + x = -18.499436929 + -6.25 x = -18.499436929 + -6.25 Combine like terms: -18.499436929 + -6.25 = -24.749436929 x = -24.749436929 Simplifying x = -24.749436929Solution
The solution to the problem is based on the solutions from the subproblems. x = {12.249436929, -24.749436929}
| 27x+19=24 | | 6x^2+73x-819=1000 | | x^2+1.8x=.3384 | | 27x+19=19 | | -16x^2+90x+110=0 | | log(x)=2log(a)-log(b) | | 10/x=75/100 | | 5x^2-28x+19=o | | v*2+7v+12=0 | | 18/1/3=x | | 6x^2+x-23=0 | | 18-1/3=n | | -3m+14-6m+12=8m-5m+4-7m+7 | | (y+1)dx-xdy=0 | | 0.5(5x-7)=8-(4x+6) | | 3(t+6)=26 | | 8x-2y=-92 | | 6Y^3-27y^2-105y=0 | | y-3(2)=4y-12 | | 42x^3+58x^2+20x=0 | | x^2y^2(2x^0)/(x^4y^2)^-3 | | -2(t-5)-(t+6)=10 | | 4ax^2+6a^2x+10a^2x^2= | | 20k^2-10k-150=0 | | 165=5(x+x+3) | | 2x^2+25x-198=0 | | 49y^2+112y+64=0 | | 35-3+2=x | | (k-7)/8=5 | | Cos(x-1)=0.38 | | x^3=6(63-5x) | | 3X^3-4=X+5 |