If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x2 + x + 0.25 = 6 Reorder the terms: 0.25 + x + x2 = 6 Solving 0.25 + x + x2 = 6 Solving for variable 'x'. Reorder the terms: 0.25 + -6 + x + x2 = 6 + -6 Combine like terms: 0.25 + -6 = -5.75 -5.75 + x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -5.75 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '5.75' to each side of the equation. -5.75 + x + 5.75 + x2 = 0 + 5.75 Reorder the terms: -5.75 + 5.75 + x + x2 = 0 + 5.75 Combine like terms: -5.75 + 5.75 = 0.00 0.00 + x + x2 = 0 + 5.75 x + x2 = 0 + 5.75 Combine like terms: 0 + 5.75 = 5.75 x + x2 = 5.75 The x term is x. 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. x + 0.25 + x2 = 5.75 + 0.25 Reorder the terms: 0.25 + x + x2 = 5.75 + 0.25 Combine like terms: 5.75 + 0.25 = 6 0.25 + x + x2 = 6 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (x + 0.5) equal to 2.449489743 and -2.449489743.Subproblem 1
x + 0.5 = 2.449489743 Simplifying x + 0.5 = 2.449489743 Reorder the terms: 0.5 + x = 2.449489743 Solving 0.5 + x = 2.449489743 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 = 2.449489743 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 2.449489743 + -0.5 x = 2.449489743 + -0.5 Combine like terms: 2.449489743 + -0.5 = 1.949489743 x = 1.949489743 Simplifying x = 1.949489743Subproblem 2
x + 0.5 = -2.449489743 Simplifying x + 0.5 = -2.449489743 Reorder the terms: 0.5 + x = -2.449489743 Solving 0.5 + x = -2.449489743 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 = -2.449489743 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -2.449489743 + -0.5 x = -2.449489743 + -0.5 Combine like terms: -2.449489743 + -0.5 = -2.949489743 x = -2.949489743 Simplifying x = -2.949489743Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.949489743, -2.949489743}
| x^2-84=0 | | 3x-(x+4)=2(x+1)2x+1 | | 7x-(-24)=-11 | | 6(4+y)-3=4(y-3)+2 | | 3x/x^2+6x-55 | | 7x-14=5x+15 | | 20/4510/x | | 4x=44+6x+36 | | 3/n=2/3 | | 3x-2=12-x | | 3(2x-3)+4x=9 | | 5/6(x+1)-5/12x | | 0.06-0.03(x+1)=-0.03(1-x) | | 3x-6=3x-3 | | 1/4=x/10 | | x^2+6x+135=0 | | x^2-45x=200 | | W/2+3=18 | | 23=2w-7 | | -5x+105=25 | | -13x-1=-40 | | 4m+9=3-(m-2) | | 1x+118.2=130.2 | | 300+20=x | | -5(4t-3)+3t=2t-2 | | 11x+62=180 | | 14x+7=98 | | (3x-2)(2x+5)=0 | | x^2+16x+71=y | | 2+7x=6x | | 14x-7=63 | | 7x+10=6x+25 |