If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 55w = 20w2 + -30 Reorder the terms: 55w = -30 + 20w2 Solving 55w = -30 + 20w2 Solving for variable 'w'. Reorder the terms: 30 + 55w + -20w2 = -30 + 20w2 + 30 + -20w2 Reorder the terms: 30 + 55w + -20w2 = -30 + 30 + 20w2 + -20w2 Combine like terms: -30 + 30 = 0 30 + 55w + -20w2 = 0 + 20w2 + -20w2 30 + 55w + -20w2 = 20w2 + -20w2 Combine like terms: 20w2 + -20w2 = 0 30 + 55w + -20w2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(6 + 11w + -4w2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(6 + 11w + -4w2)' equal to zero and attempt to solve: Simplifying 6 + 11w + -4w2 = 0 Solving 6 + 11w + -4w2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. -1.5 + -2.75w + w2 = 0 Move the constant term to the right: Add '1.5' to each side of the equation. -1.5 + -2.75w + 1.5 + w2 = 0 + 1.5 Reorder the terms: -1.5 + 1.5 + -2.75w + w2 = 0 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -2.75w + w2 = 0 + 1.5 -2.75w + w2 = 0 + 1.5 Combine like terms: 0 + 1.5 = 1.5 -2.75w + w2 = 1.5 The w term is -2.75w. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75w + 1.890625 + w2 = 1.5 + 1.890625 Reorder the terms: 1.890625 + -2.75w + w2 = 1.5 + 1.890625 Combine like terms: 1.5 + 1.890625 = 3.390625 1.890625 + -2.75w + w2 = 3.390625 Factor a perfect square on the left side: (w + -1.375)(w + -1.375) = 3.390625 Calculate the square root of the right side: 1.841364983 Break this problem into two subproblems by setting (w + -1.375) equal to 1.841364983 and -1.841364983.Subproblem 1
w + -1.375 = 1.841364983 Simplifying w + -1.375 = 1.841364983 Reorder the terms: -1.375 + w = 1.841364983 Solving -1.375 + w = 1.841364983 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + w = 1.841364983 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + w = 1.841364983 + 1.375 w = 1.841364983 + 1.375 Combine like terms: 1.841364983 + 1.375 = 3.216364983 w = 3.216364983 Simplifying w = 3.216364983Subproblem 2
w + -1.375 = -1.841364983 Simplifying w + -1.375 = -1.841364983 Reorder the terms: -1.375 + w = -1.841364983 Solving -1.375 + w = -1.841364983 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '1.375' to each side of the equation. -1.375 + 1.375 + w = -1.841364983 + 1.375 Combine like terms: -1.375 + 1.375 = 0.000 0.000 + w = -1.841364983 + 1.375 w = -1.841364983 + 1.375 Combine like terms: -1.841364983 + 1.375 = -0.466364983 w = -0.466364983 Simplifying w = -0.466364983Solution
The solution to the problem is based on the solutions from the subproblems. w = {3.216364983, -0.466364983}Solution
w = {3.216364983, -0.466364983}
| x^2+8x-28=-8 | | 22x^2+4x+7=0 | | y=9x-70 | | 7=16(3)-4 | | n^2-16n-43=-7 | | 5(x+4)-9=3x+2(3+x) | | 3sqrty+4=15 | | 25r^2-144g^2= | | c*-4*c= | | cx-4xc= | | (4x+5)(5x-4)=0 | | 5x=2.5(s+20) | | 7x=378 | | X+x-5x=14 | | (-4+11i)(-5-8i)=0 | | 28x^3+56x^2+8x^2+16x=0 | | 77r^2+59r-6= | | n^2-4n+13=10 | | 75x^3+95x^2+30x= | | 2(10)x+(10)x+1=4 | | 5+1.5y-3y=5 | | 3x-8=5(x-4) | | 8.48x-2.6=7.17x-7.1 | | 3x+8=5(x-4) | | 4+6y-17y= | | 5(x-9)=4 | | Y=-2*-5-8 | | 2a+3b-c=14 | | 15-(-7x)+4x-(-10)= | | 3x+10y=85 | | -s(2x+7)=-9 | | 4.25x=3.4 |