If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -120 + -80t + 16t2 = 0 Solving -120 + -80t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '8'. 8(-15 + -10t + 2t2) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-15 + -10t + 2t2)' equal to zero and attempt to solve: Simplifying -15 + -10t + 2t2 = 0 Solving -15 + -10t + 2t2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -7.5 + -5t + t2 = 0 Move the constant term to the right: Add '7.5' to each side of the equation. -7.5 + -5t + 7.5 + t2 = 0 + 7.5 Reorder the terms: -7.5 + 7.5 + -5t + t2 = 0 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -5t + t2 = 0 + 7.5 -5t + t2 = 0 + 7.5 Combine like terms: 0 + 7.5 = 7.5 -5t + t2 = 7.5 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = 7.5 + 6.25 Reorder the terms: 6.25 + -5t + t2 = 7.5 + 6.25 Combine like terms: 7.5 + 6.25 = 13.75 6.25 + -5t + t2 = 13.75 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 13.75 Calculate the square root of the right side: 3.708099244 Break this problem into two subproblems by setting (t + -2.5) equal to 3.708099244 and -3.708099244.Subproblem 1
t + -2.5 = 3.708099244 Simplifying t + -2.5 = 3.708099244 Reorder the terms: -2.5 + t = 3.708099244 Solving -2.5 + t = 3.708099244 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = 3.708099244 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 3.708099244 + 2.5 t = 3.708099244 + 2.5 Combine like terms: 3.708099244 + 2.5 = 6.208099244 t = 6.208099244 Simplifying t = 6.208099244Subproblem 2
t + -2.5 = -3.708099244 Simplifying t + -2.5 = -3.708099244 Reorder the terms: -2.5 + t = -3.708099244 Solving -2.5 + t = -3.708099244 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = -3.708099244 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -3.708099244 + 2.5 t = -3.708099244 + 2.5 Combine like terms: -3.708099244 + 2.5 = -1.208099244 t = -1.208099244 Simplifying t = -1.208099244Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.208099244, -1.208099244}Solution
t = {6.208099244, -1.208099244}
| 52+7x=3-11x | | 3x+4=2(5x-6)+2 | | 4x-20/3x-3 | | 0=x^2+19-8 | | 2(1)-3y=32 | | y=8x+2.50 | | 2y+3(17)=-11 | | x^4+3x^3+2x^2+5x+3=0 | | 92=84+19x+x^2 | | v/1-7=-7 | | (30+5n)-(15+4n)= | | 7+4y=-13 | | 3(1+14y)=6 | | 5u+15=-6(u+3) | | H(t)=-16t^2+80t+120 | | 2x+16=8(x-1) | | 5x+2x=4+3 | | 3x^2+24x=52 | | 9x-(3+7x)= | | x-7=4+5 | | (3x^2y+2)dx-(x^3+y)dy=0 | | 3t^2+22t-45=0 | | H(t)=-16t+80t+120 | | (2u-7)(3+u)=0 | | 6(6x-7)=50 | | .75*(x+4)=3(x+2) | | (7+9n)+(-3+8c)= | | 7+y=-7 | | 3+22-45=0 | | (8x-3)+(6x+6)= | | 68=h/11.2 | | 5y=24-3y |