If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -3s(4s + -1) + -3 = -3(9s + 2) + -4 Reorder the terms: -3s(-1 + 4s) + -3 = -3(9s + 2) + -4 (-1 * -3s + 4s * -3s) + -3 = -3(9s + 2) + -4 (3s + -12s2) + -3 = -3(9s + 2) + -4 Reorder the terms: -3 + 3s + -12s2 = -3(9s + 2) + -4 Reorder the terms: -3 + 3s + -12s2 = -3(2 + 9s) + -4 -3 + 3s + -12s2 = (2 * -3 + 9s * -3) + -4 -3 + 3s + -12s2 = (-6 + -27s) + -4 Reorder the terms: -3 + 3s + -12s2 = -6 + -4 + -27s Combine like terms: -6 + -4 = -10 -3 + 3s + -12s2 = -10 + -27s Solving -3 + 3s + -12s2 = -10 + -27s Solving for variable 's'. Reorder the terms: -3 + 10 + 3s + 27s + -12s2 = -10 + -27s + 10 + 27s Combine like terms: -3 + 10 = 7 7 + 3s + 27s + -12s2 = -10 + -27s + 10 + 27s Combine like terms: 3s + 27s = 30s 7 + 30s + -12s2 = -10 + -27s + 10 + 27s Reorder the terms: 7 + 30s + -12s2 = -10 + 10 + -27s + 27s Combine like terms: -10 + 10 = 0 7 + 30s + -12s2 = 0 + -27s + 27s 7 + 30s + -12s2 = -27s + 27s Combine like terms: -27s + 27s = 0 7 + 30s + -12s2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. -0.5833333333 + -2.5s + s2 = 0 Move the constant term to the right: Add '0.5833333333' to each side of the equation. -0.5833333333 + -2.5s + 0.5833333333 + s2 = 0 + 0.5833333333 Reorder the terms: -0.5833333333 + 0.5833333333 + -2.5s + s2 = 0 + 0.5833333333 Combine like terms: -0.5833333333 + 0.5833333333 = 0.0000000000 0.0000000000 + -2.5s + s2 = 0 + 0.5833333333 -2.5s + s2 = 0 + 0.5833333333 Combine like terms: 0 + 0.5833333333 = 0.5833333333 -2.5s + s2 = 0.5833333333 The s term is -2.5s. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5s + 1.5625 + s2 = 0.5833333333 + 1.5625 Reorder the terms: 1.5625 + -2.5s + s2 = 0.5833333333 + 1.5625 Combine like terms: 0.5833333333 + 1.5625 = 2.1458333333 1.5625 + -2.5s + s2 = 2.1458333333 Factor a perfect square on the left side: (s + -1.25)(s + -1.25) = 2.1458333333 Calculate the square root of the right side: 1.464866319 Break this problem into two subproblems by setting (s + -1.25) equal to 1.464866319 and -1.464866319.Subproblem 1
s + -1.25 = 1.464866319 Simplifying s + -1.25 = 1.464866319 Reorder the terms: -1.25 + s = 1.464866319 Solving -1.25 + s = 1.464866319 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + s = 1.464866319 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + s = 1.464866319 + 1.25 s = 1.464866319 + 1.25 Combine like terms: 1.464866319 + 1.25 = 2.714866319 s = 2.714866319 Simplifying s = 2.714866319Subproblem 2
s + -1.25 = -1.464866319 Simplifying s + -1.25 = -1.464866319 Reorder the terms: -1.25 + s = -1.464866319 Solving -1.25 + s = -1.464866319 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '1.25' to each side of the equation. -1.25 + 1.25 + s = -1.464866319 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + s = -1.464866319 + 1.25 s = -1.464866319 + 1.25 Combine like terms: -1.464866319 + 1.25 = -0.214866319 s = -0.214866319 Simplifying s = -0.214866319Solution
The solution to the problem is based on the solutions from the subproblems. s = {2.714866319, -0.214866319}
| 4x^2+35=-24x | | 5.2=x-5.7 | | 6(6y-8)=12y | | 50+11x-26x=-10 | | 12- 3w=27 | | 13x-5x-5=131 | | 4x^3+x^2=100x+25 | | .75(2x-4)-.5(6x+9)=0 | | 3/4m=-3 | | 6a+3/8+3=23a+18/32 | | (2.3-6n).2=3.14 | | (10y+10)/(y+2)=6.67 | | 15y+15y+45y-30=180 | | 12c^2+4d^2y-3d^2x-16c^2y=0 | | 15=-3(4x+5)-2x | | 2/3(k-6)=3/2(k-6) | | 6a^2-a^2+16= | | 3(2r+4)-4(r-7)= | | X+(x+20)=180 | | t/9=4 | | 9x+60=375 | | 4w^2-8w=0 | | y=6/5x+4 | | -2+7-6(-2)=15-3(-2) | | 20x+8y=500 | | 9(3n+1)=9(5n+8)+1 | | 4g+4(-4+4g)=1-g | | 50x-50=20x-20 | | 1/3z+10=55 | | 3[(5x+1)-4]=4(2x-3) | | -3=12y-10y-35 | | s+21/2s+10=45 |