If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 140t + 90 = 0 Reorder the terms: 90 + 140t + -16t2 = 0 Solving 90 + 140t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(45 + 70t + -8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(45 + 70t + -8t2)' equal to zero and attempt to solve: Simplifying 45 + 70t + -8t2 = 0 Solving 45 + 70t + -8t2 = 0 Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. -5.625 + -8.75t + t2 = 0 Move the constant term to the right: Add '5.625' to each side of the equation. -5.625 + -8.75t + 5.625 + t2 = 0 + 5.625 Reorder the terms: -5.625 + 5.625 + -8.75t + t2 = 0 + 5.625 Combine like terms: -5.625 + 5.625 = 0.000 0.000 + -8.75t + t2 = 0 + 5.625 -8.75t + t2 = 0 + 5.625 Combine like terms: 0 + 5.625 = 5.625 -8.75t + t2 = 5.625 The t term is -8.75t. Take half its coefficient (-4.375). Square it (19.140625) and add it to both sides. Add '19.140625' to each side of the equation. -8.75t + 19.140625 + t2 = 5.625 + 19.140625 Reorder the terms: 19.140625 + -8.75t + t2 = 5.625 + 19.140625 Combine like terms: 5.625 + 19.140625 = 24.765625 19.140625 + -8.75t + t2 = 24.765625 Factor a perfect square on the left side: (t + -4.375)(t + -4.375) = 24.765625 Calculate the square root of the right side: 4.976507309 Break this problem into two subproblems by setting (t + -4.375) equal to 4.976507309 and -4.976507309.Subproblem 1
t + -4.375 = 4.976507309 Simplifying t + -4.375 = 4.976507309 Reorder the terms: -4.375 + t = 4.976507309 Solving -4.375 + t = 4.976507309 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = 4.976507309 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = 4.976507309 + 4.375 t = 4.976507309 + 4.375 Combine like terms: 4.976507309 + 4.375 = 9.351507309 t = 9.351507309 Simplifying t = 9.351507309Subproblem 2
t + -4.375 = -4.976507309 Simplifying t + -4.375 = -4.976507309 Reorder the terms: -4.375 + t = -4.976507309 Solving -4.375 + t = -4.976507309 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.375' to each side of the equation. -4.375 + 4.375 + t = -4.976507309 + 4.375 Combine like terms: -4.375 + 4.375 = 0.000 0.000 + t = -4.976507309 + 4.375 t = -4.976507309 + 4.375 Combine like terms: -4.976507309 + 4.375 = -0.601507309 t = -0.601507309 Simplifying t = -0.601507309Solution
The solution to the problem is based on the solutions from the subproblems. t = {9.351507309, -0.601507309}Solution
t = {9.351507309, -0.601507309}
| 4=7+y | | F(r)=5r+2r^3-3r-7r^3 | | -64x^2+80x-16=0 | | 36x+13=43 | | 7(x-11)=7(x+29) | | 12[y+1]=36 | | -53-7n=7+8n | | 7z-20=10z-16+z | | 160+0.25x=320 | | 3n-6/4=1/1/2 | | p=x+2+4x+1+2x | | -7-2v=8v+67 | | 6v^2-5=-102 | | -r+12=4r-2r | | p=7x+4 | | 6n+20=2n+4 | | [x+6]9=72 | | h(t)=1600-16t^2 | | -188=4(1+8p) | | Y=2x(x^2-3)(x^2+2) | | 2b-3/5=7 | | t=-16t^2+220t+44 | | -13x+14-1x=27 | | 6x+6(2x+3)=-144 | | 64a^2+6=87 | | 2x^4+x^3-3x^2=0 | | 4z+10=9z-31 | | 5.5x+3=19.5 | | 5x-3=2(1-x) | | 2w+10=9w+38 | | 5a+3=33 | | 0.5x-10=48 |