If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying w2 + -12w + 17 = 0 Reorder the terms: 17 + -12w + w2 = 0 Solving 17 + -12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -12w + -17 + w2 = 0 + -17 Reorder the terms: 17 + -17 + -12w + w2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -12w + w2 = 0 + -17 -12w + w2 = 0 + -17 Combine like terms: 0 + -17 = -17 -12w + w2 = -17 The w term is -12w. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12w + 36 + w2 = -17 + 36 Reorder the terms: 36 + -12w + w2 = -17 + 36 Combine like terms: -17 + 36 = 19 36 + -12w + w2 = 19 Factor a perfect square on the left side: (w + -6)(w + -6) = 19 Calculate the square root of the right side: 4.358898944 Break this problem into two subproblems by setting (w + -6) equal to 4.358898944 and -4.358898944.Subproblem 1
w + -6 = 4.358898944 Simplifying w + -6 = 4.358898944 Reorder the terms: -6 + w = 4.358898944 Solving -6 + w = 4.358898944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + w = 4.358898944 + 6 Combine like terms: -6 + 6 = 0 0 + w = 4.358898944 + 6 w = 4.358898944 + 6 Combine like terms: 4.358898944 + 6 = 10.358898944 w = 10.358898944 Simplifying w = 10.358898944Subproblem 2
w + -6 = -4.358898944 Simplifying w + -6 = -4.358898944 Reorder the terms: -6 + w = -4.358898944 Solving -6 + w = -4.358898944 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + w = -4.358898944 + 6 Combine like terms: -6 + 6 = 0 0 + w = -4.358898944 + 6 w = -4.358898944 + 6 Combine like terms: -4.358898944 + 6 = 1.641101056 w = 1.641101056 Simplifying w = 1.641101056Solution
The solution to the problem is based on the solutions from the subproblems. w = {10.358898944, 1.641101056}
| 3(2g-5)=4g+13 | | r^2-5r^2+r=0 | | x+(x+12)=84 | | x-(x*.10)=12000 | | 12x-6=9y | | -t+10=-50+5t | | -t+19=-50+5t | | 8x-3=87-x | | 0.5t=-65 | | x+(x*.10)=12000 | | -5x=4 | | x*.10=12000 | | (3x+2y)(5x-4y)=0 | | -80+14x=-100-6x | | -93-9x=121-31x | | 360=x+35+90+90 | | 7x-9=x+39 | | G=3H+4K | | 7x-18+3x=17 | | 7x-110=2x-10 | | 65-3m=4m-5 | | 2x^2+20x-120=0 | | 107-7x=29x-19 | | -3(3p+6)-2(4-8p)-3(4+2p)=0 | | 15r-5=-10-10 | | 6x^2-48x=9 | | 5x+3+3y=18 | | x+10=-32+19 | | -8(2b+3)+(17b-3)=0 | | -y+2=16-8y | | 180=60+60+x-20 | | X(x+2)=71 |