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 + 31 = 0 Reorder the terms: 31 + -12w + w2 = 0 Solving 31 + -12w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + -12w + -31 + w2 = 0 + -31 Reorder the terms: 31 + -31 + -12w + w2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -12w + w2 = 0 + -31 -12w + w2 = 0 + -31 Combine like terms: 0 + -31 = -31 -12w + w2 = -31 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 = -31 + 36 Reorder the terms: 36 + -12w + w2 = -31 + 36 Combine like terms: -31 + 36 = 5 36 + -12w + w2 = 5 Factor a perfect square on the left side: (w + -6)(w + -6) = 5 Calculate the square root of the right side: 2.236067978 Break this problem into two subproblems by setting (w + -6) equal to 2.236067978 and -2.236067978.Subproblem 1
w + -6 = 2.236067978 Simplifying w + -6 = 2.236067978 Reorder the terms: -6 + w = 2.236067978 Solving -6 + w = 2.236067978 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 = 2.236067978 + 6 Combine like terms: -6 + 6 = 0 0 + w = 2.236067978 + 6 w = 2.236067978 + 6 Combine like terms: 2.236067978 + 6 = 8.236067978 w = 8.236067978 Simplifying w = 8.236067978Subproblem 2
w + -6 = -2.236067978 Simplifying w + -6 = -2.236067978 Reorder the terms: -6 + w = -2.236067978 Solving -6 + w = -2.236067978 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 = -2.236067978 + 6 Combine like terms: -6 + 6 = 0 0 + w = -2.236067978 + 6 w = -2.236067978 + 6 Combine like terms: -2.236067978 + 6 = 3.763932022 w = 3.763932022 Simplifying w = 3.763932022Solution
The solution to the problem is based on the solutions from the subproblems. w = {8.236067978, 3.763932022}
| 4x+27=6x+11 | | v-33=23 | | 2x+10=74-6x | | 20x+27= | | -3-3(t-3)=-5(t+4)+4 | | 5(x-2)=2x-(6-x) | | 43*.2+x*.65=60 | | -5x+2(2x-2)=3-8x | | 2x-2=9x-25 | | -2(y-2)=7(5-y)-9 | | 0.09+3.6=1.44 | | 2371.7+0.31(m-10570)=34597 | | x+(x+1)+(x+2)=36 | | 5=3x+4 | | 2x+1-6=3+x | | 9p=8(9p+7) | | 9w=54 | | -3(y-6)=5(3-y)-7 | | 5x-(2x+2)=x+(3x-5) | | 6x-90=4x | | 4x-(3x-1)=2 | | -10c=-60 | | 16=3(x-1)-(x-7) | | 2a+9=17-3a | | ax^2-20x+40=0 | | -10=-60 | | x^4+3x^3=24-18x-2x^2 | | 6m=4m+12 | | x-2*(x-2)-(2x-5)=25+x | | 2-(7x+5)=13-3x | | 6a^2+a-35=0 | | 3x^3+4x^2-7x+2=0 |