If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0.5x2 + -1.5x = -1 Reorder the terms: -1.5x + 0.5x2 = -1 Solving -1.5x + 0.5x2 = -1 Solving for variable 'x'. Reorder the terms: 1 + -1.5x + 0.5x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -1.5x + 0.5x2 = 0 Begin completing the square. Divide all terms by 0.5 the coefficient of the squared term: Divide each side by '0.5'. 2 + -3x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -3x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -3x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x + x2 = 0 + -2 -3x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x + x2 = -2 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 = -2 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -2 + 2.25 Combine like terms: -2 + 2.25 = 0.25 2.25 + -3x + x2 = 0.25 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = 0.25 Calculate the square root of the right side: 0.5 Break this problem into two subproblems by setting (x + -1.5) equal to 0.5 and -0.5.Subproblem 1
x + -1.5 = 0.5 Simplifying x + -1.5 = 0.5 Reorder the terms: -1.5 + x = 0.5 Solving -1.5 + x = 0.5 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 = 0.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = 0.5 + 1.5 x = 0.5 + 1.5 Combine like terms: 0.5 + 1.5 = 2 x = 2 Simplifying x = 2Subproblem 2
x + -1.5 = -0.5 Simplifying x + -1.5 = -0.5 Reorder the terms: -1.5 + x = -0.5 Solving -1.5 + x = -0.5 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 = -0.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + x = -0.5 + 1.5 x = -0.5 + 1.5 Combine like terms: -0.5 + 1.5 = 1 x = 1 Simplifying x = 1Solution
The solution to the problem is based on the solutions from the subproblems. x = {2, 1}
| 3h+10=19 | | -3h+3=21 | | -4y+21=105 | | .5x^2-1.5=-1 | | 2+4x^3-6x^2=0 | | 4x-6=3x-1 | | 13x=6x+7 | | (14+2a).(10+2a)=112 | | x^3+6x^2-16x+64=0 | | 3x+1=4x-5 | | 3.2x+3.1=12.7 | | 7g+14=-86-3g | | 9-4r= | | .5x^2-1.5x+1=0 | | 12m-25=9m+38 | | (x-y)2= | | 3x+4-4x-2= | | -12-2m+5=-1 | | 4(x-2)=-2(1-x) | | 10x-20=-70 | | 4(2m-6)=120 | | 2k(k+3)=-15 | | 23.9=5w+6.4 | | 3x+1-(4+2x)=3 | | 16y+24=-18-9x | | -8x^2-77x-45=0 | | 3n+15=8n-9 | | -26.5=-5d+4d | | 12w+5=-7 | | 9x^2+149x+80=0 | | 5(z-7)=3(2+5) | | 3x+4x-5+x+6=49 |