If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8w2 + 8w + 1 = 0 Reorder the terms: 1 + 8w + 8w2 = 0 Solving 1 + 8w + 8w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.125 + w + w2 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + w + -0.125 + w2 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + w + w2 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + w + w2 = 0 + -0.125 w + w2 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 w + w2 = -0.125 The w term is w. 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. + 0.25 + w2 = -0.125 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + w2 = -0.125 + 0.25 Combine like terms: -0.125 + 0.25 = 0.125 1.25 + w2 = 0.125 Factor a perfect square on the left side: (w + 0.5)(w + 0.5) = 0.125 Calculate the square root of the right side: 0.353553391 Break this problem into two subproblems by setting (w + 0.5) equal to 0.353553391 and -0.353553391.Subproblem 1
w + 0.5 = 0.353553391 Simplifying w + 0.5 = 0.353553391 Reorder the terms: 0.5 + w = 0.353553391 Solving 0.5 + w = 0.353553391 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + w = 0.353553391 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + w = 0.353553391 + -0.5 w = 0.353553391 + -0.5 Combine like terms: 0.353553391 + -0.5 = -0.146446609 w = -0.146446609 Simplifying w = -0.146446609Subproblem 2
w + 0.5 = -0.353553391 Simplifying w + 0.5 = -0.353553391 Reorder the terms: 0.5 + w = -0.353553391 Solving 0.5 + w = -0.353553391 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + w = -0.353553391 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + w = -0.353553391 + -0.5 w = -0.353553391 + -0.5 Combine like terms: -0.353553391 + -0.5 = -0.853553391 w = -0.853553391 Simplifying w = -0.853553391Solution
The solution to the problem is based on the solutions from the subproblems. w = {-0.146446609, -0.853553391}
| 9w^2+9w+1=0 | | x^2-y^2=8 | | x+x^2-30=0 | | m^2+4m+4=0 | | 2y^2-18y=0 | | -5(6x-5)+3=-30x+28 | | 6w^2+13w+6= | | -16t^2+48t+64=0 | | 12x+2-3x=10-(x-2) | | 5y^2-14y+8= | | 2r^2-r-10=0 | | 3x^2-7x-26=0 | | 9x+12=9x-12 | | -0.9x+2.7=-1.8 | | 5+3x-4=8x+2-4x | | 5x^2+14x-12=0 | | 5(4x-20)=20(x-5) | | 5x+6i=-8+2yi | | -0.9x+2.7=x | | 5(t-2)-3t=4(2t+4)-9 | | .05x+.04(52000-x)=2290 | | -x-3+2x=10 | | .06x+1260-.09x=1005 | | 14+3x=x-16 | | 6x+2=4x-8 | | 20x-58=0 | | 2x*3x-6=0 | | 77r^2+26r-40=0 | | 18b-2=-19b+3 | | 18b-2=19b+3 | | 3x-3+2(2x)+13=-2-5x+(16-6) | | 3(t-14)+7(t-12)=14 |