If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x = 6x2 + -21x + 15 Reorder the terms: x = 15 + -21x + 6x2 Solving x = 15 + -21x + 6x2 Solving for variable 'x'. Reorder the terms: -15 + x + 21x + -6x2 = 15 + -21x + 6x2 + -15 + 21x + -6x2 Combine like terms: x + 21x = 22x -15 + 22x + -6x2 = 15 + -21x + 6x2 + -15 + 21x + -6x2 Reorder the terms: -15 + 22x + -6x2 = 15 + -15 + -21x + 21x + 6x2 + -6x2 Combine like terms: 15 + -15 = 0 -15 + 22x + -6x2 = 0 + -21x + 21x + 6x2 + -6x2 -15 + 22x + -6x2 = -21x + 21x + 6x2 + -6x2 Combine like terms: -21x + 21x = 0 -15 + 22x + -6x2 = 0 + 6x2 + -6x2 -15 + 22x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -15 + 22x + -6x2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. 2.5 + -3.666666667x + x2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -3.666666667x + -2.5 + x2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -3.666666667x + x2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -3.666666667x + x2 = 0 + -2.5 -3.666666667x + x2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -3.666666667x + x2 = -2.5 The x term is -3.666666667x. Take half its coefficient (-1.833333334). Square it (3.361111114) and add it to both sides. Add '3.361111114' to each side of the equation. -3.666666667x + 3.361111114 + x2 = -2.5 + 3.361111114 Reorder the terms: 3.361111114 + -3.666666667x + x2 = -2.5 + 3.361111114 Combine like terms: -2.5 + 3.361111114 = 0.861111114 3.361111114 + -3.666666667x + x2 = 0.861111114 Factor a perfect square on the left side: (x + -1.833333334)(x + -1.833333334) = 0.861111114 Calculate the square root of the right side: 0.927960729 Break this problem into two subproblems by setting (x + -1.833333334) equal to 0.927960729 and -0.927960729.Subproblem 1
x + -1.833333334 = 0.927960729 Simplifying x + -1.833333334 = 0.927960729 Reorder the terms: -1.833333334 + x = 0.927960729 Solving -1.833333334 + x = 0.927960729 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x = 0.927960729 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x = 0.927960729 + 1.833333334 x = 0.927960729 + 1.833333334 Combine like terms: 0.927960729 + 1.833333334 = 2.761294063 x = 2.761294063 Simplifying x = 2.761294063Subproblem 2
x + -1.833333334 = -0.927960729 Simplifying x + -1.833333334 = -0.927960729 Reorder the terms: -1.833333334 + x = -0.927960729 Solving -1.833333334 + x = -0.927960729 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.833333334' to each side of the equation. -1.833333334 + 1.833333334 + x = -0.927960729 + 1.833333334 Combine like terms: -1.833333334 + 1.833333334 = 0.000000000 0.000000000 + x = -0.927960729 + 1.833333334 x = -0.927960729 + 1.833333334 Combine like terms: -0.927960729 + 1.833333334 = 0.905372605 x = 0.905372605 Simplifying x = 0.905372605Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.761294063, 0.905372605}
| 64-3x=55-35x | | 3(.5x-4)=2/3x-1.2 | | 4=s-0.006 | | tan^2x=cosx+1 | | 3sinx=cosx-2 | | 11x+81=180 | | 2(3x-3)=15 | | N^2-6n-50=0 | | Ax+Hy=L | | -2-6+2x=28 | | 4x+20=3x+27 | | 3(x-2)-4=8 | | Cos40=z/32 | | 14x^2-24xy+7y^2+30x-40y-45=0 | | H^2-h-110=0 | | -7-13=9x+18-8x | | 90=36lnx | | 2/3x_1/2=3/2_1/3x | | 1.5x+3.6=.8x+2.2 | | 2k^2-5k-25=0 | | 0=(x-3)(x-2+i)(x-2-i) | | -1.50x=1 | | (2k+5)(k-5)=0 | | 10-2x=425 | | f(x)=(x-5)(x-2+3i)(x-2-3i) | | 256/x2-3 | | 5x-2x=1 | | .75y-6=24 | | X^2-x-71=0 | | 9=r-0.007 | | (24x)x(37y)=(42y)x(72y) | | 10x-8+3x-7+x=20x-10-6 |