If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -16t2 + 90t + 110 Reorder the terms: 0 = 110 + 90t + -16t2 Solving 0 = 110 + 90t + -16t2 Solving for variable 't'. Combine like terms: 0 + -110 = -110 -110 + -90t + 16t2 = 110 + 90t + -16t2 + -110 + -90t + 16t2 Reorder the terms: -110 + -90t + 16t2 = 110 + -110 + 90t + -90t + -16t2 + 16t2 Combine like terms: 110 + -110 = 0 -110 + -90t + 16t2 = 0 + 90t + -90t + -16t2 + 16t2 -110 + -90t + 16t2 = 90t + -90t + -16t2 + 16t2 Combine like terms: 90t + -90t = 0 -110 + -90t + 16t2 = 0 + -16t2 + 16t2 -110 + -90t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -110 + -90t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-55 + -45t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-55 + -45t + 8t2)' equal to zero and attempt to solve: Simplifying -55 + -45t + 8t2 = 0 Solving -55 + -45t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -6.875 + -5.625t + t2 = 0 Move the constant term to the right: Add '6.875' to each side of the equation. -6.875 + -5.625t + 6.875 + t2 = 0 + 6.875 Reorder the terms: -6.875 + 6.875 + -5.625t + t2 = 0 + 6.875 Combine like terms: -6.875 + 6.875 = 0.000 0.000 + -5.625t + t2 = 0 + 6.875 -5.625t + t2 = 0 + 6.875 Combine like terms: 0 + 6.875 = 6.875 -5.625t + t2 = 6.875 The t term is -5.625t. Take half its coefficient (-2.8125). Square it (7.91015625) and add it to both sides. Add '7.91015625' to each side of the equation. -5.625t + 7.91015625 + t2 = 6.875 + 7.91015625 Reorder the terms: 7.91015625 + -5.625t + t2 = 6.875 + 7.91015625 Combine like terms: 6.875 + 7.91015625 = 14.78515625 7.91015625 + -5.625t + t2 = 14.78515625 Factor a perfect square on the left side: (t + -2.8125)(t + -2.8125) = 14.78515625 Calculate the square root of the right side: 3.845147104 Break this problem into two subproblems by setting (t + -2.8125) equal to 3.845147104 and -3.845147104.Subproblem 1
t + -2.8125 = 3.845147104 Simplifying t + -2.8125 = 3.845147104 Reorder the terms: -2.8125 + t = 3.845147104 Solving -2.8125 + t = 3.845147104 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.8125' to each side of the equation. -2.8125 + 2.8125 + t = 3.845147104 + 2.8125 Combine like terms: -2.8125 + 2.8125 = 0.0000 0.0000 + t = 3.845147104 + 2.8125 t = 3.845147104 + 2.8125 Combine like terms: 3.845147104 + 2.8125 = 6.657647104 t = 6.657647104 Simplifying t = 6.657647104Subproblem 2
t + -2.8125 = -3.845147104 Simplifying t + -2.8125 = -3.845147104 Reorder the terms: -2.8125 + t = -3.845147104 Solving -2.8125 + t = -3.845147104 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.8125' to each side of the equation. -2.8125 + 2.8125 + t = -3.845147104 + 2.8125 Combine like terms: -2.8125 + 2.8125 = 0.0000 0.0000 + t = -3.845147104 + 2.8125 t = -3.845147104 + 2.8125 Combine like terms: -3.845147104 + 2.8125 = -1.032647104 t = -1.032647104 Simplifying t = -1.032647104Solution
The solution to the problem is based on the solutions from the subproblems. t = {6.657647104, -1.032647104}Solution
t = {6.657647104, -1.032647104}
| 2x+0.786x-87:2x=1 | | 10+3j=16 | | 5n^2-32+35=0 | | x=3+4(2) | | 3n*-7n+2=0 | | -13=x+24 | | n-2/3=7/9 | | N+129=-4n+9 | | 0.9x+2.4x=-6.4 | | 5(y+7)=3(y-1) | | x=(2x+5)+(2x-2) | | 0.9x+2.4=-6.4 | | -6(2t+3)=18 | | (10x^4-4)/(5x^3-10) | | y=0.04x+18 | | -x=-y-9 | | 8(s-6)=-68 | | (-3)+(-2)=(-5) | | H=3H | | 5x+20+9x+92=180 | | 35a+145ab-49ac= | | x=2x+5+2x-2 | | 5(x+-6)+6=7x-10 | | 9x-7=7x+10 | | x^2+7x+52=0 | | 5(x-6)+6=7x+10 | | log^-1(12/10) | | -5-29= | | =b+14 | | 8x=77+7x | | log-1(12/10) | | ((x^5)+3y)dx-xdy=0 |