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 + 0.5x + 1 = 0 Reorder the terms: 1 + 0.5x + -0.5x2 = 0 Solving 1 + 0.5x + -0.5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -0.5 the coefficient of the squared term: Divide each side by '-0.5'. -2 + -1x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + -1x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + -1x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x + x2 = 0 + 2 -1x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1x + x2 = 2 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = 2 + 0.25 Reorder the terms: 0.25 + -1x + x2 = 2 + 0.25 Combine like terms: 2 + 0.25 = 2.25 0.25 + -1x + x2 = 2.25 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = 2.25 Calculate the square root of the right side: 1.5 Break this problem into two subproblems by setting (x + -0.5) equal to 1.5 and -1.5.Subproblem 1
x + -0.5 = 1.5 Simplifying x + -0.5 = 1.5 Reorder the terms: -0.5 + x = 1.5 Solving -0.5 + x = 1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 1.5 + 0.5 x = 1.5 + 0.5 Combine like terms: 1.5 + 0.5 = 2 x = 2 Simplifying x = 2Subproblem 2
x + -0.5 = -1.5 Simplifying x + -0.5 = -1.5 Reorder the terms: -0.5 + x = -1.5 Solving -0.5 + x = -1.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -1.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -1.5 + 0.5 x = -1.5 + 0.5 Combine like terms: -1.5 + 0.5 = -1 x = -1 Simplifying x = -1Solution
The solution to the problem is based on the solutions from the subproblems. x = {2, -1}
| 1/5a-42.3=105.1 | | -0.709t+141.8=0 | | 7/18+x=19/15 | | 3/4-x=11/5 | | 750-1/2s=700 | | 3.875z+1.25=40 | | 100c+16=46 | | 2x-1y+20-19= | | x-2-3x=24-k | | 4y^2+4y= | | 28+x=29 | | 25=23+a | | 1/5(y-3) | | 1/5(y-3)=t-2 | | f(x)=3x^2+1 | | -15=-10+5t | | 6y+2=82x | | 4v^2-9v+5=0 | | 6y+3x=82 | | x^2-6x+8y+41=0 | | 3/3p=15 | | 2(x+y)=14 | | 4+16=x | | 4y-x=10 | | 3a^2-7a^4=9-a^4 | | v+2/3=15/v-2 | | 6x^3-x^2+17=2x^2+47 | | 3/2p=15 | | 6(2x-3)=2(6x+2) | | 18.26+(-1.08)+0.44= | | x-.2x=68 | | 2n-(24-n)=30 |