If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2x2 + -6x + 9 = 20 Reorder the terms: 9 + -6x + 2x2 = 20 Solving 9 + -6x + 2x2 = 20 Solving for variable 'x'. Reorder the terms: 9 + -20 + -6x + 2x2 = 20 + -20 Combine like terms: 9 + -20 = -11 -11 + -6x + 2x2 = 20 + -20 Combine like terms: 20 + -20 = 0 -11 + -6x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -5.5 + -3x + x2 = 0 Move the constant term to the right: Add '5.5' to each side of the equation. -5.5 + -3x + 5.5 + x2 = 0 + 5.5 Reorder the terms: -5.5 + 5.5 + -3x + x2 = 0 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -3x + x2 = 0 + 5.5 -3x + x2 = 0 + 5.5 Combine like terms: 0 + 5.5 = 5.5 -3x + x2 = 5.5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = 5.5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = 5.5 + 2.25 Combine like terms: 5.5 + 2.25 = 7.75 2.25 + -3x + x2 = 7.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 7.75 Calculate the square root of the right side: 2.783882181 Break this problem into two subproblems by setting (x + -1.5) equal to 2.783882181 and -2.783882181.Subproblem 1
x + -1.5 = 2.783882181 Simplifying x + -1.5 = 2.783882181 Reorder the terms: -1.5 + x = 2.783882181 Solving -1.5 + x = 2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = 2.783882181 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 2.783882181 + 1.5 x = 2.783882181 + 1.5 Combine like terms: 2.783882181 + 1.5 = 4.283882181 x = 4.283882181 Simplifying x = 4.283882181Subproblem 2
x + -1.5 = -2.783882181 Simplifying x + -1.5 = -2.783882181 Reorder the terms: -1.5 + x = -2.783882181 Solving -1.5 + x = -2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5' to each side of the equation. -1.5 + 1.5 + x = -2.783882181 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -2.783882181 + 1.5 x = -2.783882181 + 1.5 Combine like terms: -2.783882181 + 1.5 = -1.283882181 x = -1.283882181 Simplifying x = -1.283882181Solution
The solution to the problem is based on the solutions from the subproblems. x = {4.283882181, -1.283882181}
| 12+1.5x=6x | | 32xy^2-80xy+50x= | | x^2+kx+24= | | (1.5)(x+8)=6x | | 4(-2)z+8(-2)+4(-2)+6= | | 1*p=5 | | 4s-20=-28+2s | | 6z-4=28+3z | | 6(3+2x)-2=52 | | 8h^2-2h-3=63 | | 6a^3+13a^2+5a=0 | | ab-ac-3b+3c=0 | | -0.7x+1.5=-1.1-1.1x | | 9z+2-7z=29-7z | | -6(y-2y)+6=-2(6y-y)+7+15y | | 4x-6(9-x)=13 | | 5x-3=3x+33 | | 4r^2=r | | 12y-108=0 | | (5-5)(5x+2)=0 | | 6x-3y=-8 | | 18-2x=-8x+12 | | 7.2x-4.1=11.2 | | -4x=-42+3x | | 7.6x-8.3=14.5 | | 9.2x+5.514=158.234 | | y=2x^2-7x+12 | | 2.1x+2.48=5 | | 7x-17=-73 | | 9-12+5p=14+2 | | 25x^2=10 | | 7m^8-7=0 |