If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (-3w2 + 8w + 1) + (-8w2 + -7w + -3) + -1(-9w2 + 9w + -3) = 0 Reorder the terms: (1 + 8w + -3w2) + (-8w2 + -7w + -3) + -1(-9w2 + 9w + -3) = 0 Remove parenthesis around (1 + 8w + -3w2) 1 + 8w + -3w2 + (-8w2 + -7w + -3) + -1(-9w2 + 9w + -3) = 0 Reorder the terms: 1 + 8w + -3w2 + (-3 + -7w + -8w2) + -1(-9w2 + 9w + -3) = 0 Remove parenthesis around (-3 + -7w + -8w2) 1 + 8w + -3w2 + -3 + -7w + -8w2 + -1(-9w2 + 9w + -3) = 0 Reorder the terms: 1 + 8w + -3w2 + -3 + -7w + -8w2 + -1(-3 + 9w + -9w2) = 0 1 + 8w + -3w2 + -3 + -7w + -8w2 + (-3 * -1 + 9w * -1 + -9w2 * -1) = 0 1 + 8w + -3w2 + -3 + -7w + -8w2 + (3 + -9w + 9w2) = 0 Reorder the terms: 1 + -3 + 3 + 8w + -7w + -9w + -3w2 + -8w2 + 9w2 = 0 Combine like terms: 1 + -3 = -2 -2 + 3 + 8w + -7w + -9w + -3w2 + -8w2 + 9w2 = 0 Combine like terms: -2 + 3 = 1 1 + 8w + -7w + -9w + -3w2 + -8w2 + 9w2 = 0 Combine like terms: 8w + -7w = 1w 1 + 1w + -9w + -3w2 + -8w2 + 9w2 = 0 Combine like terms: 1w + -9w = -8w 1 + -8w + -3w2 + -8w2 + 9w2 = 0 Combine like terms: -3w2 + -8w2 = -11w2 1 + -8w + -11w2 + 9w2 = 0 Combine like terms: -11w2 + 9w2 = -2w2 1 + -8w + -2w2 = 0 Solving 1 + -8w + -2w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -0.5 + 4w + w2 = 0 Move the constant term to the right: Add '0.5' to each side of the equation. -0.5 + 4w + 0.5 + w2 = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 4w + w2 = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 4w + w2 = 0 + 0.5 4w + w2 = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 4w + w2 = 0.5 The w term is 4w. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4w + 4 + w2 = 0.5 + 4 Reorder the terms: 4 + 4w + w2 = 0.5 + 4 Combine like terms: 0.5 + 4 = 4.5 4 + 4w + w2 = 4.5 Factor a perfect square on the left side: (w + 2)(w + 2) = 4.5 Calculate the square root of the right side: 2.121320344 Break this problem into two subproblems by setting (w + 2) equal to 2.121320344 and -2.121320344.Subproblem 1
w + 2 = 2.121320344 Simplifying w + 2 = 2.121320344 Reorder the terms: 2 + w = 2.121320344 Solving 2 + w = 2.121320344 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = 2.121320344 + -2 Combine like terms: 2 + -2 = 0 0 + w = 2.121320344 + -2 w = 2.121320344 + -2 Combine like terms: 2.121320344 + -2 = 0.121320344 w = 0.121320344 Simplifying w = 0.121320344Subproblem 2
w + 2 = -2.121320344 Simplifying w + 2 = -2.121320344 Reorder the terms: 2 + w = -2.121320344 Solving 2 + w = -2.121320344 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + w = -2.121320344 + -2 Combine like terms: 2 + -2 = 0 0 + w = -2.121320344 + -2 w = -2.121320344 + -2 Combine like terms: -2.121320344 + -2 = -4.121320344 w = -4.121320344 Simplifying w = -4.121320344Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.121320344, -4.121320344}
| 150+6c=96+15c | | 12x+36=12x+9+27 | | 54=-12(t)+10t^2 | | x-7.9=197 | | 3(7x+5)=21x+9 | | 9m-14=58 | | Y+9=10y | | s(x+1)=8(x-3) | | -4(f+6)=14 | | 8y+y=531 | | 27+2y-6=10y-9-3y | | (4x+6)=(2x+8) | | x+20+2x=-9-2x-16 | | 6c+42=-3c-12 | | 7b-21=2b+4 | | -25*4+7=x | | -5x-45=3x-3 | | 2x+6x+8=14 | | 3x^2-2x+30=0 | | 1500+10c=1000+30c | | 5p-7=6p-48 | | 4c+15=11 | | 2n+7=4n+48 | | 7x-4=8x+6 | | 9e+47=20 | | 4(-k-7)+8k=-3(4k-9) | | 32-7*3=x | | 3x-12=-6x-42 | | -6y+9=y-40 | | 2x+8+6x=14 | | -7a+14=-3a-28 | | (y+5)(y+7)=0 |