If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2w2 + 3w + -12 = 0 Reorder the terms: -12 + 3w + 2w2 = 0 Solving -12 + 3w + 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'. -6 + 1.5w + w2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 1.5w + 6 + w2 = 0 + 6 Reorder the terms: -6 + 6 + 1.5w + w2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5w + w2 = 0 + 6 1.5w + w2 = 0 + 6 Combine like terms: 0 + 6 = 6 1.5w + w2 = 6 The w term is 1.5w. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5w + 0.5625 + w2 = 6 + 0.5625 Reorder the terms: 0.5625 + 1.5w + w2 = 6 + 0.5625 Combine like terms: 6 + 0.5625 = 6.5625 0.5625 + 1.5w + w2 = 6.5625 Factor a perfect square on the left side: (w + 0.75)(w + 0.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (w + 0.75) equal to 2.561737691 and -2.561737691.Subproblem 1
w + 0.75 = 2.561737691 Simplifying w + 0.75 = 2.561737691 Reorder the terms: 0.75 + w = 2.561737691 Solving 0.75 + w = 2.561737691 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + w = 2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + w = 2.561737691 + -0.75 w = 2.561737691 + -0.75 Combine like terms: 2.561737691 + -0.75 = 1.811737691 w = 1.811737691 Simplifying w = 1.811737691Subproblem 2
w + 0.75 = -2.561737691 Simplifying w + 0.75 = -2.561737691 Reorder the terms: 0.75 + w = -2.561737691 Solving 0.75 + w = -2.561737691 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + w = -2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + w = -2.561737691 + -0.75 w = -2.561737691 + -0.75 Combine like terms: -2.561737691 + -0.75 = -3.311737691 w = -3.311737691 Simplifying w = -3.311737691Solution
The solution to the problem is based on the solutions from the subproblems. w = {1.811737691, -3.311737691}
| 8(x-2)+1=7x-6 | | 4x+1=5x-15 | | (2/3)^3x9 | | 4r^2-16r+16=0 | | 2-g=10 | | 5.5=0.1-8s | | (-8)=t-3 | | -6(3x-1)+2x=3x-13 | | 6*2*-10= | | 23-5x=3 | | y-.25=9 | | -.5x+.25x+.1x= | | 6(g-84)=72 | | -5-3x=28 | | -5x+24=-6(2+3x)-3 | | 6d+4-6d=11 | | 3(x-8)+2(x-4)=48 | | 80=5(f-81) | | 10(4a+3b)-9(6a+4)= | | 6=0+w | | 7(0.11x+0.57y-0.11)= | | 2x-2=-4 | | y=1.5(0)-6 | | -(1+7x)-6(-7-1x)=36 | | 0=1.5x-6 | | 6(x+6)=-19-5x | | x^2+4-2=0 | | -7.6n+7.9+13.4m-3.5n-8.1m= | | 5+2v=11 | | 5(s-79)=10 | | 3(h-48)=69 | | 8(5x-7)= |