If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3w2 + -42w = -27 Reorder the terms: -42w + 3w2 = -27 Solving -42w + 3w2 = -27 Solving for variable 'w'. Reorder the terms: 27 + -42w + 3w2 = -27 + 27 Combine like terms: -27 + 27 = 0 27 + -42w + 3w2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(9 + -14w + w2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + -14w + w2)' equal to zero and attempt to solve: Simplifying 9 + -14w + w2 = 0 Solving 9 + -14w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -14w + -9 + w2 = 0 + -9 Reorder the terms: 9 + -9 + -14w + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14w + w2 = 0 + -9 -14w + w2 = 0 + -9 Combine like terms: 0 + -9 = -9 -14w + w2 = -9 The w term is -14w. Take half its coefficient (-7). Square it (49) and add it to both sides. Add '49' to each side of the equation. -14w + 49 + w2 = -9 + 49 Reorder the terms: 49 + -14w + w2 = -9 + 49 Combine like terms: -9 + 49 = 40 49 + -14w + w2 = 40 Factor a perfect square on the left side: (w + -7)(w + -7) = 40 Calculate the square root of the right side: 6.32455532 Break this problem into two subproblems by setting (w + -7) equal to 6.32455532 and -6.32455532.Subproblem 1
w + -7 = 6.32455532 Simplifying w + -7 = 6.32455532 Reorder the terms: -7 + w = 6.32455532 Solving -7 + w = 6.32455532 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = 6.32455532 + 7 Combine like terms: -7 + 7 = 0 0 + w = 6.32455532 + 7 w = 6.32455532 + 7 Combine like terms: 6.32455532 + 7 = 13.32455532 w = 13.32455532 Simplifying w = 13.32455532Subproblem 2
w + -7 = -6.32455532 Simplifying w + -7 = -6.32455532 Reorder the terms: -7 + w = -6.32455532 Solving -7 + w = -6.32455532 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = -6.32455532 + 7 Combine like terms: -7 + 7 = 0 0 + w = -6.32455532 + 7 w = -6.32455532 + 7 Combine like terms: -6.32455532 + 7 = 0.67544468 w = 0.67544468 Simplifying w = 0.67544468Solution
The solution to the problem is based on the solutions from the subproblems. w = {13.32455532, 0.67544468}Solution
w = {13.32455532, 0.67544468}
| 14+6x-18=8x-28-1 | | 396=x^2+11x | | F(x)=3x^4+4x^3-12x^2+4 | | 5x+21=16 | | 2+y-12=0 | | 9k+9-3k-12-5k+3= | | 3x+21=6x-60 | | 7(9g-6)-(2g-9)= | | 9x-5=4x-5 | | sin(5x)=sin(x) | | 46-9x=12+8x | | 8.6+P=3.21 | | 25c^2-81p^2=0 | | 2x-2.25=10 | | 10(y-92)+10=90 | | 5p=7w+9r | | 0=3y^3+2y^2-48y-32 | | 5p=7w-9r | | 6x-18/5x-15 | | 7w=5p-9r | | 9=45-n | | 8(2+x)=5x+16 | | 110=x+2(180-x) | | 5+2.5x=3 | | 47=5t^2 | | 5+2.5x=(30+x)3 | | 5x+2.5=(30+x)3 | | W/5=3/4 | | 5+2.5x=90+3x | | 3*x^2+3*y^2-3*z^2=0 | | k+4(k+4)=3k(k) | | 20r^2-13r=15 |