If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (w + 5)(w + 5) = 40 Reorder the terms: (5 + w)(w + 5) = 40 Reorder the terms: (5 + w)(5 + w) = 40 Multiply (5 + w) * (5 + w) (5(5 + w) + w(5 + w)) = 40 ((5 * 5 + w * 5) + w(5 + w)) = 40 ((25 + 5w) + w(5 + w)) = 40 (25 + 5w + (5 * w + w * w)) = 40 (25 + 5w + (5w + w2)) = 40 Combine like terms: 5w + 5w = 10w (25 + 10w + w2) = 40 Solving 25 + 10w + w2 = 40 Solving for variable 'w'. Reorder the terms: 25 + -40 + 10w + w2 = 40 + -40 Combine like terms: 25 + -40 = -15 -15 + 10w + w2 = 40 + -40 Combine like terms: 40 + -40 = 0 -15 + 10w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '15' to each side of the equation. -15 + 10w + 15 + w2 = 0 + 15 Reorder the terms: -15 + 15 + 10w + w2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 10w + w2 = 0 + 15 10w + w2 = 0 + 15 Combine like terms: 0 + 15 = 15 10w + w2 = 15 The w term is 10w. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10w + 25 + w2 = 15 + 25 Reorder the terms: 25 + 10w + w2 = 15 + 25 Combine like terms: 15 + 25 = 40 25 + 10w + w2 = 40 Factor a perfect square on the left side: (w + 5)(w + 5) = 40 Calculate the square root of the right side: 6.32455532 Break this problem into two subproblems by setting (w + 5) equal to 6.32455532 and -6.32455532.Subproblem 1
w + 5 = 6.32455532 Simplifying w + 5 = 6.32455532 Reorder the terms: 5 + w = 6.32455532 Solving 5 + w = 6.32455532 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = 6.32455532 + -5 Combine like terms: 5 + -5 = 0 0 + w = 6.32455532 + -5 w = 6.32455532 + -5 Combine like terms: 6.32455532 + -5 = 1.32455532 w = 1.32455532 Simplifying w = 1.32455532Subproblem 2
w + 5 = -6.32455532 Simplifying w + 5 = -6.32455532 Reorder the terms: 5 + w = -6.32455532 Solving 5 + w = -6.32455532 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + w = -6.32455532 + -5 Combine like terms: 5 + -5 = 0 0 + w = -6.32455532 + -5 w = -6.32455532 + -5 Combine like terms: -6.32455532 + -5 = -11.32455532 w = -11.32455532 Simplifying w = -11.32455532Solution
The solution to the problem is based on the solutions from the subproblems. w = {1.32455532, -11.32455532}
| 1.25x+0.125x=0.375+x | | 6x^5-36x^4+54x^3=0 | | -2p+8=5-(10p+6) | | 3x+5y=-24 | | 125-10x=0 | | 12d^2+3d^3= | | -2x+1=-9 | | 0.5x^2+2.5x+4.5=0 | | -2(2m-3)+5(m+7)=40 | | 3(2x-4)-(x-3)=7(x+2)-1 | | 5(3x-1)+12=4(2x+3)+9 | | x-8=-3x+8 | | 4-2.50x=21.50 | | 2(x-3)+3(x+2)=10 | | -63=-(18+9x) | | x+4/3-2=10 | | 6x-4(5x+9)=4(2x+3)+9 | | 5(3x-4)=-14-3(x-10) | | (8n-5)(n+4)=0 | | 4-2(2x-7)=-6 | | 6x^2+78x+252=0 | | 6x+1-3=12x-(8x-4) | | -56+-1x+x^2=0 | | 6y^2+29y=22 | | (z+7)(z-8)=0 | | 4x^2-64x-68=0 | | 2(3+2x)-2=20 | | 24y-14y=5 | | 4z-3(2+1)=2(z-3)-z | | (x-4)(x-6)=-21 | | -13+(-4)(-2)= | | w^2-8w=20 |