If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4s(s + 1) = 1 Reorder the terms: 4s(1 + s) = 1 (1 * 4s + s * 4s) = 1 (4s + 4s2) = 1 Solving 4s + 4s2 = 1 Solving for variable 's'. Reorder the terms: -1 + 4s + 4s2 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4s + 4s2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -0.25 + s + s2 = 0 Move the constant term to the right: Add '0.25' to each side of the equation. -0.25 + s + 0.25 + s2 = 0 + 0.25 Reorder the terms: -0.25 + 0.25 + s + s2 = 0 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + s + s2 = 0 + 0.25 s + s2 = 0 + 0.25 Combine like terms: 0 + 0.25 = 0.25 s + s2 = 0.25 The s term is s. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + s2 = 0.25 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + s2 = 0.25 + 0.25 Combine like terms: 0.25 + 0.25 = 0.5 1.25 + s2 = 0.5 Factor a perfect square on the left side: (s + 0.5)(s + 0.5) = 0.5 Calculate the square root of the right side: 0.707106781 Break this problem into two subproblems by setting (s + 0.5) equal to 0.707106781 and -0.707106781.Subproblem 1
s + 0.5 = 0.707106781 Simplifying s + 0.5 = 0.707106781 Reorder the terms: 0.5 + s = 0.707106781 Solving 0.5 + s = 0.707106781 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + s = 0.707106781 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + s = 0.707106781 + -0.5 s = 0.707106781 + -0.5 Combine like terms: 0.707106781 + -0.5 = 0.207106781 s = 0.207106781 Simplifying s = 0.207106781Subproblem 2
s + 0.5 = -0.707106781 Simplifying s + 0.5 = -0.707106781 Reorder the terms: 0.5 + s = -0.707106781 Solving 0.5 + s = -0.707106781 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + s = -0.707106781 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + s = -0.707106781 + -0.5 s = -0.707106781 + -0.5 Combine like terms: -0.707106781 + -0.5 = -1.207106781 s = -1.207106781 Simplifying s = -1.207106781Solution
The solution to the problem is based on the solutions from the subproblems. s = {0.207106781, -1.207106781}
| sec(square)x=0 | | 2x+4(x-5)=2(x-8) | | 12x=10x-10 | | 6x-3x+11=2x+7 | | 5(r-1)=2+(r-4)-6 | | 3-336-2= | | x=3+3*6+2 | | 2x(x-12)=90 | | -1=x^4-2x^2-x | | 72.25+8.5x+x^2=0 | | x-23+x-5/4=x-5/6+x-7/8 | | x_23+x_5/4=x_5/6+x_7/8 | | 2x-x=10000 | | (x+3y-4)DX+(x+4y-5)day=0 | | 4(14)+5= | | 4x(15)+5= | | 5x+3(x-8)=5(x-3) | | 11x=(-209) | | y+12*25-8= | | x+32*5-41= | | x+32*5-41=y | | -11x-11=9-6x | | L=3.14r(t+6r) | | -11x=20-6x | | u+3u-18=0 | | X^2+78x-.6=0 | | 8x+60=3x | | 3x-7=9x+53 | | 7a=-5-1b | | g(n)=5x+7 | | =6w^2-11w-35 | | 100-25P=-100+75P |