If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 6w2 + 30w2 + -18w + -9 = 0 Reorder the terms: -9 + -18w + 6w2 + 30w2 = 0 Combine like terms: 6w2 + 30w2 = 36w2 -9 + -18w + 36w2 = 0 Solving -9 + -18w + 36w2 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '9'. 9(-1 + -2w + 4w2) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(-1 + -2w + 4w2)' equal to zero and attempt to solve: Simplifying -1 + -2w + 4w2 = 0 Solving -1 + -2w + 4w2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + -0.5w + w2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + -0.5w + 0.25 + w2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + -0.5w + w2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -0.5w + w2 = 0 + 0.25 -0.5w + w2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 -0.5w + w2 = 0.25 The w term is -0.5w. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5w + 0.0625 + w2 = 0.25 + 0.0625 Reorder the terms: 0.0625 + -0.5w + w2 = 0.25 + 0.0625 Combine like terms: 0.25 + 0.0625 = 0.3125 0.0625 + -0.5w + w2 = 0.3125 Factor a perfect square on the left side: (w + -0.25)(w + -0.25) = 0.3125 Calculate the square root of the right side: 0.559016994 Break this problem into two subproblems by setting (w + -0.25) equal to 0.559016994 and -0.559016994.Subproblem 1
w + -0.25 = 0.559016994 Simplifying w + -0.25 = 0.559016994 Reorder the terms: -0.25 + w = 0.559016994 Solving -0.25 + w = 0.559016994 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + w = 0.559016994 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + w = 0.559016994 + 0.25 w = 0.559016994 + 0.25 Combine like terms: 0.559016994 + 0.25 = 0.809016994 w = 0.809016994 Simplifying w = 0.809016994Subproblem 2
w + -0.25 = -0.559016994 Simplifying w + -0.25 = -0.559016994 Reorder the terms: -0.25 + w = -0.559016994 Solving -0.25 + w = -0.559016994 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '0.25' to each side of the equation. -0.25 + 0.25 + w = -0.559016994 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + w = -0.559016994 + 0.25 w = -0.559016994 + 0.25 Combine like terms: -0.559016994 + 0.25 = -0.309016994 w = -0.309016994 Simplifying w = -0.309016994Solution
The solution to the problem is based on the solutions from the subproblems. w = {0.809016994, -0.309016994}Solution
w = {0.809016994, -0.309016994}
| -5-3x=10-8x | | 15-0.5b=-3 | | 32-3x=6x+17 | | 6+4y=9y+26-2Y | | 25+0.967b=47 | | -2x+6=18 | | 8-8x=66-22x | | 3n+18=39-4 | | -7(z-6)=-70 | | 4x-2x^2= | | 5x+(x+2)=34 | | 8(s+3)=72 | | 6x+7=-119-8x | | 3x+35=3x-45 | | 11-7x=35-28x | | 4x-2x^2=0 | | 5(4x+1)=2(5x+3) | | 4m(m-3)(m+7)= | | x*6+140= | | 114-2x=6x+18 | | 71-2x=7x+24 | | 11-9x=139-37x | | -13-6x=17-9x | | -7-3x=13-8x | | 33=m+100 | | 6x+9=39-10x | | 2(6x+5)=4(4x-3) | | 10x=9x-27 | | 5x+36=x | | -7(3b+3)+(22b-1)=0 | | 2(2y+4)+12=6(4y+1)-9 | | -x+(-6x)=49 |