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 = x + 0.5 Reorder the terms: 0.5x2 = 0.5 + x Solving 0.5x2 = 0.5 + x Solving for variable 'x'. Reorder the terms: -0.5 + -1x + 0.5x2 = 0.5 + x + -0.5 + -1x Reorder the terms: -0.5 + -1x + 0.5x2 = 0.5 + -0.5 + x + -1x Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + -1x + 0.5x2 = 0.0 + x + -1x -0.5 + -1x + 0.5x2 = x + -1x Combine like terms: x + -1x = 0 -0.5 + -1x + 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'. -1 + -2x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -2x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -2x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x + x2 = 0 + 1 -2x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -2x + x2 = 1 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = 1 + 1 Reorder the terms: 1 + -2x + x2 = 1 + 1 Combine like terms: 1 + 1 = 2 1 + -2x + x2 = 2 Factor a perfect square on the left side: (x + -1)(x + -1) = 2 Calculate the square root of the right side: 1.414213562 Break this problem into two subproblems by setting (x + -1) equal to 1.414213562 and -1.414213562.Subproblem 1
x + -1 = 1.414213562 Simplifying x + -1 = 1.414213562 Reorder the terms: -1 + x = 1.414213562 Solving -1 + x = 1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = 1.414213562 + 1 x = 1.414213562 + 1 Combine like terms: 1.414213562 + 1 = 2.414213562 x = 2.414213562 Simplifying x = 2.414213562Subproblem 2
x + -1 = -1.414213562 Simplifying x + -1 = -1.414213562 Reorder the terms: -1 + x = -1.414213562 Solving -1 + x = -1.414213562 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -1.414213562 + 1 Combine like terms: -1 + 1 = 0 0 + x = -1.414213562 + 1 x = -1.414213562 + 1 Combine like terms: -1.414213562 + 1 = -0.414213562 x = -0.414213562 Simplifying x = -0.414213562Solution
The solution to the problem is based on the solutions from the subproblems. x = {2.414213562, -0.414213562}
| -140c=7(6c+13) | | 4x=x-87 | | .5x^2-x-.5=0 | | (6*-28+3x)+(-7x*-28+3x)=-91 | | -18x-15=15 | | 3(x-5)=6(x+1) | | 24a-22=-4+22 | | 3ab+2b^2=5 | | 15n^2+60=87n | | (6*-28+3y)+(-7y*-28+3y)=-91 | | 3p+q=12 | | 2.1d+0.7=7 | | -2x+6y=56 | | 3(x-4)=24 | | -1+42-36=13x | | 6x+-7y=-91 | | 3x^2-5x+16=0 | | 6t-9-3t=4 | | .2x+12=-.25x | | 7x^2+10=-2 | | 2x-7=6x+25 | | 1+3x-1+16=x+2+4x | | 4r+5r-6r=21 | | 2x-3y=21 | | -1-7x+42-6=36 | | 7x-2y=2 | | x^3+2x^2+6x+12= | | -8k+7k=2k-12 | | 4(x-3)+5(2-3x)=9 | | 3m+20=8m-5 | | 3n-5=-48-40n | | (2c+1)(c+3)=0 |