If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (8 + w)(w) = 100 Reorder the terms for easier multiplication: w(8 + w) = 100 (8 * w + w * w) = 100 (8w + w2) = 100 Solving 8w + w2 = 100 Solving for variable 'w'. Reorder the terms: -100 + 8w + w2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 8w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '100' to each side of the equation. -100 + 8w + 100 + w2 = 0 + 100 Reorder the terms: -100 + 100 + 8w + w2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 8w + w2 = 0 + 100 8w + w2 = 0 + 100 Combine like terms: 0 + 100 = 100 8w + w2 = 100 The w term is 8w. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8w + 16 + w2 = 100 + 16 Reorder the terms: 16 + 8w + w2 = 100 + 16 Combine like terms: 100 + 16 = 116 16 + 8w + w2 = 116 Factor a perfect square on the left side: (w + 4)(w + 4) = 116 Calculate the square root of the right side: 10.770329614 Break this problem into two subproblems by setting (w + 4) equal to 10.770329614 and -10.770329614.Subproblem 1
w + 4 = 10.770329614 Simplifying w + 4 = 10.770329614 Reorder the terms: 4 + w = 10.770329614 Solving 4 + w = 10.770329614 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 10.770329614 + -4 Combine like terms: 4 + -4 = 0 0 + w = 10.770329614 + -4 w = 10.770329614 + -4 Combine like terms: 10.770329614 + -4 = 6.770329614 w = 6.770329614 Simplifying w = 6.770329614Subproblem 2
w + 4 = -10.770329614 Simplifying w + 4 = -10.770329614 Reorder the terms: 4 + w = -10.770329614 Solving 4 + w = -10.770329614 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = -10.770329614 + -4 Combine like terms: 4 + -4 = 0 0 + w = -10.770329614 + -4 w = -10.770329614 + -4 Combine like terms: -10.770329614 + -4 = -14.770329614 w = -14.770329614 Simplifying w = -14.770329614Solution
The solution to the problem is based on the solutions from the subproblems. w = {6.770329614, -14.770329614}
| 2x-2(-x+5)=x+(-1) | | 4x-2y-10=0 | | -5z+1=-42 | | 4a-3=28 | | 20=3n-n+6 | | 230-4x=32x+22 | | (4x-2)(x+6)=0 | | 2y^2-5y-12=0 | | 7-10x=72-45x | | 2(x-3)=5(x+2)+2 | | -102-8x=72-45x | | 3m+6-7m=-18 | | x^2-6x-18=0 | | .88*172= | | 6x+29=16x-81 | | [100-12]/100= | | [100-12]/100*172= | | -12=5(p-2) | | 6+22=15x-59 | | logx+log(x+6)=2 | | 2k-5+3k=10 | | 2.3x+4.8=9.3 | | 5x+(7-2x)=-20 | | 2+6x=27+x | | 2x+24=5x+15 | | 5x-3=15x-213 | | (x-11)(x^2+7x-2)= | | 9y-5=7 | | 3h-5h=20 | | 6=3-4x | | 5d+3d=-24 | | 5-2(x-1)=6x+3(2x-7) |