If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-12 + -24x + 15x2) + -1(-1 + 2x + 3x2) = 0 Remove parenthesis around (-12 + -24x + 15x2) -12 + -24x + 15x2 + -1(-1 + 2x + 3x2) = 0 -12 + -24x + 15x2 + (-1 * -1 + 2x * -1 + 3x2 * -1) = 0 -12 + -24x + 15x2 + (1 + -2x + -3x2) = 0 Reorder the terms: -12 + 1 + -24x + -2x + 15x2 + -3x2 = 0 Combine like terms: -12 + 1 = -11 -11 + -24x + -2x + 15x2 + -3x2 = 0 Combine like terms: -24x + -2x = -26x -11 + -26x + 15x2 + -3x2 = 0 Combine like terms: 15x2 + -3x2 = 12x2 -11 + -26x + 12x2 = 0 Solving -11 + -26x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. -0.9166666667 + -2.166666667x + x2 = 0 Move the constant term to the right: Add '0.9166666667' to each side of the equation. -0.9166666667 + -2.166666667x + 0.9166666667 + x2 = 0 + 0.9166666667 Reorder the terms: -0.9166666667 + 0.9166666667 + -2.166666667x + x2 = 0 + 0.9166666667 Combine like terms: -0.9166666667 + 0.9166666667 = 0.0000000000 0.0000000000 + -2.166666667x + x2 = 0 + 0.9166666667 -2.166666667x + x2 = 0 + 0.9166666667 Combine like terms: 0 + 0.9166666667 = 0.9166666667 -2.166666667x + x2 = 0.9166666667 The x term is -2.166666667x. Take half its coefficient (-1.083333334). Square it (1.173611113) and add it to both sides. Add '1.173611113' to each side of the equation. -2.166666667x + 1.173611113 + x2 = 0.9166666667 + 1.173611113 Reorder the terms: 1.173611113 + -2.166666667x + x2 = 0.9166666667 + 1.173611113 Combine like terms: 0.9166666667 + 1.173611113 = 2.0902777797 1.173611113 + -2.166666667x + x2 = 2.0902777797 Factor a perfect square on the left side: (x + -1.083333334)(x + -1.083333334) = 2.0902777797 Calculate the square root of the right side: 1.445779298 Break this problem into two subproblems by setting (x + -1.083333334) equal to 1.445779298 and -1.445779298.Subproblem 1
x + -1.083333334 = 1.445779298 Simplifying x + -1.083333334 = 1.445779298 Reorder the terms: -1.083333334 + x = 1.445779298 Solving -1.083333334 + x = 1.445779298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.083333334' to each side of the equation. -1.083333334 + 1.083333334 + x = 1.445779298 + 1.083333334 Combine like terms: -1.083333334 + 1.083333334 = 0.000000000 0.000000000 + x = 1.445779298 + 1.083333334 x = 1.445779298 + 1.083333334 Combine like terms: 1.445779298 + 1.083333334 = 2.529112632 x = 2.529112632 Simplifying x = 2.529112632Subproblem 2
x + -1.083333334 = -1.445779298 Simplifying x + -1.083333334 = -1.445779298 Reorder the terms: -1.083333334 + x = -1.445779298 Solving -1.083333334 + x = -1.445779298 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.083333334' to each side of the equation. -1.083333334 + 1.083333334 + x = -1.445779298 + 1.083333334 Combine like terms: -1.083333334 + 1.083333334 = 0.000000000 0.000000000 + x = -1.445779298 + 1.083333334 x = -1.445779298 + 1.083333334 Combine like terms: -1.445779298 + 1.083333334 = -0.362445964 x = -0.362445964 Simplifying x = -0.362445964Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.529112632, -0.362445964}
| 6x+24y=92.41 | | -5(5n+3)+7n=129 | | 4x^2+4xy-3y+3x-12=0 | | 84=6v+18 | | 157-x=37 | | 2.10+.80+m=11.70 | | (-12-24x+15x^2)-(-1+22x+3x^2)= | | -16t^2+4t+29=9 | | -3(3x+15)+(10+x)=35 | | 0.45x+0.05(20-x)=0.10(82) | | x+-y=8 | | 2q+4-4-2q=0 | | 15-6y=-9 | | 5r-3s=-6 | | -11+1= | | 2x^2+6x=(3x+1)(x+3) | | -8r+s=-17 | | 23-2k=7 | | (x+2)(x-2)-25=0 | | 74=6-4(2a+7) | | 6x+10y=52 | | 2.3b=36.8 | | 2N+-2=N | | (5x+2)(3x-6)= | | (45x+75)=(3x+5)(15x+15) | | 9v-13=68 | | 4x+-3=-12 | | y=7-3 | | x^5+14x^4-15x^3=17x^3 | | (6x^2+7x-8)(5x)= | | x^2-7=22 | | 2-N=2N |