If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 30 = -16t2 + 130t + 90 Reorder the terms: 30 = 90 + 130t + -16t2 Solving 30 = 90 + 130t + -16t2 Solving for variable 't'. Combine like terms: 30 + -90 = -60 -60 + -130t + 16t2 = 90 + 130t + -16t2 + -90 + -130t + 16t2 Reorder the terms: -60 + -130t + 16t2 = 90 + -90 + 130t + -130t + -16t2 + 16t2 Combine like terms: 90 + -90 = 0 -60 + -130t + 16t2 = 0 + 130t + -130t + -16t2 + 16t2 -60 + -130t + 16t2 = 130t + -130t + -16t2 + 16t2 Combine like terms: 130t + -130t = 0 -60 + -130t + 16t2 = 0 + -16t2 + 16t2 -60 + -130t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -60 + -130t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + -65t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-30 + -65t + 8t2)' equal to zero and attempt to solve: Simplifying -30 + -65t + 8t2 = 0 Solving -30 + -65t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. -3.75 + -8.125t + t2 = 0 Move the constant term to the right: Add '3.75' to each side of the equation. -3.75 + -8.125t + 3.75 + t2 = 0 + 3.75 Reorder the terms: -3.75 + 3.75 + -8.125t + t2 = 0 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + -8.125t + t2 = 0 + 3.75 -8.125t + t2 = 0 + 3.75 Combine like terms: 0 + 3.75 = 3.75 -8.125t + t2 = 3.75 The t term is -8.125t. Take half its coefficient (-4.0625). Square it (16.50390625) and add it to both sides. Add '16.50390625' to each side of the equation. -8.125t + 16.50390625 + t2 = 3.75 + 16.50390625 Reorder the terms: 16.50390625 + -8.125t + t2 = 3.75 + 16.50390625 Combine like terms: 3.75 + 16.50390625 = 20.25390625 16.50390625 + -8.125t + t2 = 20.25390625 Factor a perfect square on the left side: (t + -4.0625)(t + -4.0625) = 20.25390625 Calculate the square root of the right side: 4.500434007 Break this problem into two subproblems by setting (t + -4.0625) equal to 4.500434007 and -4.500434007.Subproblem 1
t + -4.0625 = 4.500434007 Simplifying t + -4.0625 = 4.500434007 Reorder the terms: -4.0625 + t = 4.500434007 Solving -4.0625 + t = 4.500434007 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.0625' to each side of the equation. -4.0625 + 4.0625 + t = 4.500434007 + 4.0625 Combine like terms: -4.0625 + 4.0625 = 0.0000 0.0000 + t = 4.500434007 + 4.0625 t = 4.500434007 + 4.0625 Combine like terms: 4.500434007 + 4.0625 = 8.562934007 t = 8.562934007 Simplifying t = 8.562934007Subproblem 2
t + -4.0625 = -4.500434007 Simplifying t + -4.0625 = -4.500434007 Reorder the terms: -4.0625 + t = -4.500434007 Solving -4.0625 + t = -4.500434007 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4.0625' to each side of the equation. -4.0625 + 4.0625 + t = -4.500434007 + 4.0625 Combine like terms: -4.0625 + 4.0625 = 0.0000 0.0000 + t = -4.500434007 + 4.0625 t = -4.500434007 + 4.0625 Combine like terms: -4.500434007 + 4.0625 = -0.437934007 t = -0.437934007 Simplifying t = -0.437934007Solution
The solution to the problem is based on the solutions from the subproblems. t = {8.562934007, -0.437934007}Solution
t = {8.562934007, -0.437934007}
| 3x+22+2x+88=60 | | 3-5f-7-3f=9 | | 7x+1y+2z=46 | | 3p(p+5)4(p-7)= | | 2x+88+3x+22=60 | | 10=-16t^2+150+50 | | 6p+5=29 | | 14175=x+x(0.135) | | 10t=-16t^2+150t+50 | | x^2-2mx+m=0 | | 10t=-16t^2+150t+60 | | 2x+67+3x+133=75 | | 5(x+3m+4)= | | 55-0.5x=30 | | 2x+46+3x+29=85 | | 4(2x-8)-6(x-4)=2 | | -5(x+6)+5= | | 3x+2+-1=x+6+-1 | | 2(x-8)=62 | | c-0.25c=120 | | (17b-6)-8(2b+1)=7 | | c-3.25c=120 | | -6(5x+4)+5= | | 4cosx^2-2=0 | | cosx^2=0 | | 3.2-(-2.3)=3.2+2.3 | | 49t^3-49t=0 | | 3(1.2x-0.2)=6.6 | | 6x-3+10x=2 | | x(y)=z | | 3x^2-15x-108= | | (x-(-4-5i))(x-(-4+5i))=0 |