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 + -21 = 0 Reorder the terms: -21 + -12w + w2 = 0 Solving -21 + -12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '21' to each side of the equation. -21 + -12w + 21 + w2 = 0 + 21 Reorder the terms: -21 + 21 + -12w + w2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -12w + w2 = 0 + 21 -12w + w2 = 0 + 21 Combine like terms: 0 + 21 = 21 -12w + w2 = 21 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 = 21 + 36 Reorder the terms: 36 + -12w + w2 = 21 + 36 Combine like terms: 21 + 36 = 57 36 + -12w + w2 = 57 Factor a perfect square on the left side: (w + -6)(w + -6) = 57 Calculate the square root of the right side: 7.549834435 Break this problem into two subproblems by setting (w + -6) equal to 7.549834435 and -7.549834435.Subproblem 1
w + -6 = 7.549834435 Simplifying w + -6 = 7.549834435 Reorder the terms: -6 + w = 7.549834435 Solving -6 + w = 7.549834435 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 = 7.549834435 + 6 Combine like terms: -6 + 6 = 0 0 + w = 7.549834435 + 6 w = 7.549834435 + 6 Combine like terms: 7.549834435 + 6 = 13.549834435 w = 13.549834435 Simplifying w = 13.549834435Subproblem 2
w + -6 = -7.549834435 Simplifying w + -6 = -7.549834435 Reorder the terms: -6 + w = -7.549834435 Solving -6 + w = -7.549834435 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 = -7.549834435 + 6 Combine like terms: -6 + 6 = 0 0 + w = -7.549834435 + 6 w = -7.549834435 + 6 Combine like terms: -7.549834435 + 6 = -1.549834435 w = -1.549834435 Simplifying w = -1.549834435Solution
The solution to the problem is based on the solutions from the subproblems. w = {13.549834435, -1.549834435}
| 4-3x=8x+59 | | 9x^2+7=o | | x-3sqrtx+2=0 | | 10x+(9)=8 | | 78+17+5c=180 | | z+47+42=13z+17 | | 84-5+b=180 | | c+10+48=4c-5 | | 21+46+y=180 | | y=ln(tan^2(x)) | | 3y-30+3y-29=y+46 | | 44+50+y-46=180 | | 2(4x-3)-3=4+2 | | w+w+6=w+50 | | 2r^2-4r-8=0 | | w+(w+6)=w+50 | | 44+48+b=180 | | p+10+p-6=p+48 | | 9h-8=10 | | c-44+c=c+36 | | 3u+41+u+33=13u-50 | | 13x+3=18x-7 | | 10x-47+7x=11x | | 72x^2+81=0 | | 3q-15+31=q+49 | | b+43+49=6b-25 | | t+46+31=6t-38 | | 4p+31=5p+5 | | 4y-17+31=y+50 | | 5q-8+q+49=10q | | 7u-37+45=10u-39 | | 6t-31+30=t+50 |