If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-11w2 + 7w + 6) + -1(6w2 + 11w + -4) = 0 Reorder the terms: (6 + 7w + -11w2) + -1(6w2 + 11w + -4) = 0 Remove parenthesis around (6 + 7w + -11w2) 6 + 7w + -11w2 + -1(6w2 + 11w + -4) = 0 Reorder the terms: 6 + 7w + -11w2 + -1(-4 + 11w + 6w2) = 0 6 + 7w + -11w2 + (-4 * -1 + 11w * -1 + 6w2 * -1) = 0 6 + 7w + -11w2 + (4 + -11w + -6w2) = 0 Reorder the terms: 6 + 4 + 7w + -11w + -11w2 + -6w2 = 0 Combine like terms: 6 + 4 = 10 10 + 7w + -11w + -11w2 + -6w2 = 0 Combine like terms: 7w + -11w = -4w 10 + -4w + -11w2 + -6w2 = 0 Combine like terms: -11w2 + -6w2 = -17w2 10 + -4w + -17w2 = 0 Solving 10 + -4w + -17w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. -0.5882352941 + 0.2352941176w + w2 = 0 Move the constant term to the right: Add '0.5882352941' to each side of the equation. -0.5882352941 + 0.2352941176w + 0.5882352941 + w2 = 0 + 0.5882352941 Reorder the terms: -0.5882352941 + 0.5882352941 + 0.2352941176w + w2 = 0 + 0.5882352941 Combine like terms: -0.5882352941 + 0.5882352941 = 0.0000000000 0.0000000000 + 0.2352941176w + w2 = 0 + 0.5882352941 0.2352941176w + w2 = 0 + 0.5882352941 Combine like terms: 0 + 0.5882352941 = 0.5882352941 0.2352941176w + w2 = 0.5882352941 The w term is 0.2352941176w. Take half its coefficient (0.1176470588). Square it (0.01384083044) and add it to both sides. Add '0.01384083044' to each side of the equation. 0.2352941176w + 0.01384083044 + w2 = 0.5882352941 + 0.01384083044 Reorder the terms: 0.01384083044 + 0.2352941176w + w2 = 0.5882352941 + 0.01384083044 Combine like terms: 0.5882352941 + 0.01384083044 = 0.60207612454 0.01384083044 + 0.2352941176w + w2 = 0.60207612454 Factor a perfect square on the left side: (w + 0.1176470588)(w + 0.1176470588) = 0.60207612454 Calculate the square root of the right side: 0.775935645 Break this problem into two subproblems by setting (w + 0.1176470588) equal to 0.775935645 and -0.775935645.Subproblem 1
w + 0.1176470588 = 0.775935645 Simplifying w + 0.1176470588 = 0.775935645 Reorder the terms: 0.1176470588 + w = 0.775935645 Solving 0.1176470588 + w = 0.775935645 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.1176470588' to each side of the equation. 0.1176470588 + -0.1176470588 + w = 0.775935645 + -0.1176470588 Combine like terms: 0.1176470588 + -0.1176470588 = 0.0000000000 0.0000000000 + w = 0.775935645 + -0.1176470588 w = 0.775935645 + -0.1176470588 Combine like terms: 0.775935645 + -0.1176470588 = 0.6582885862 w = 0.6582885862 Simplifying w = 0.6582885862Subproblem 2
w + 0.1176470588 = -0.775935645 Simplifying w + 0.1176470588 = -0.775935645 Reorder the terms: 0.1176470588 + w = -0.775935645 Solving 0.1176470588 + w = -0.775935645 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.1176470588' to each side of the equation. 0.1176470588 + -0.1176470588 + w = -0.775935645 + -0.1176470588 Combine like terms: 0.1176470588 + -0.1176470588 = 0.0000000000 0.0000000000 + w = -0.775935645 + -0.1176470588 w = -0.775935645 + -0.1176470588 Combine like terms: -0.775935645 + -0.1176470588 = -0.8935827038 w = -0.8935827038 Simplifying w = -0.8935827038Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.6582885862, -0.8935827038}
| 8-8x-2=-66+6x-12 | | 6-2z=10 | | -3x-10=6x+8 | | 2y^2=4y-3x | | 8z+16=7z+2 | | (Y-4)-(y+4)=3y | | 8+16=7+2 | | 16t^2+2t-18=0 | | 16s^2+24=-9 | | 64k^2-9m^2= | | -3(4n-6)=33 | | 3x+15=3+5x-6 | | 5x-4+4x=-31 | | 4x^2-8xy-5x+10y=0 | | 4(x+4)+3=-5 | | 5x+14=3+7x-19 | | d=3m+7m | | 10y+2(3-y)=8y+7 | | -9y-16=-14y-11 | | 3(7+4m)-10m= | | 7+x=3-2x | | -5x+39=9 | | -6x-8=5x+25 | | byh=-16t^2+34t+42 | | 7-6x-4=-45+3x-15 | | 22y+116=18y | | -2=x+15 | | 25a+5b+c=0 | | -5=9-h | | x+2.3=3.8 | | -2(1+r)=12 | | 1.5(34)-12.2=1.2(34)-2 |