If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -2.65t2 + 30t + 6 Reorder the terms: 0 = 6 + 30t + -2.65t2 Solving 0 = 6 + 30t + -2.65t2 Solving for variable 't'. Combine like terms: 0 + -6 = -6 -6 + -30t + 2.65t2 = 6 + 30t + -2.65t2 + -6 + -30t + 2.65t2 Reorder the terms: -6 + -30t + 2.65t2 = 6 + -6 + 30t + -30t + -2.65t2 + 2.65t2 Combine like terms: 6 + -6 = 0 -6 + -30t + 2.65t2 = 0 + 30t + -30t + -2.65t2 + 2.65t2 -6 + -30t + 2.65t2 = 30t + -30t + -2.65t2 + 2.65t2 Combine like terms: 30t + -30t = 0 -6 + -30t + 2.65t2 = 0 + -2.65t2 + 2.65t2 -6 + -30t + 2.65t2 = -2.65t2 + 2.65t2 Combine like terms: -2.65t2 + 2.65t2 = 0.00 -6 + -30t + 2.65t2 = 0.00 Begin completing the square. Divide all terms by 2.65 the coefficient of the squared term: Divide each side by '2.65'. -2.264150943 + -11.32075472t + t2 = 0 Move the constant term to the right: Add '2.264150943' to each side of the equation. -2.264150943 + -11.32075472t + 2.264150943 + t2 = 0 + 2.264150943 Reorder the terms: -2.264150943 + 2.264150943 + -11.32075472t + t2 = 0 + 2.264150943 Combine like terms: -2.264150943 + 2.264150943 = 0.000000000 0.000000000 + -11.32075472t + t2 = 0 + 2.264150943 -11.32075472t + t2 = 0 + 2.264150943 Combine like terms: 0 + 2.264150943 = 2.264150943 -11.32075472t + t2 = 2.264150943 The t term is -11.32075472t. Take half its coefficient (-5.66037736). Square it (32.03987186) and add it to both sides. Add '32.03987186' to each side of the equation. -11.32075472t + 32.03987186 + t2 = 2.264150943 + 32.03987186 Reorder the terms: 32.03987186 + -11.32075472t + t2 = 2.264150943 + 32.03987186 Combine like terms: 2.264150943 + 32.03987186 = 34.304022803 32.03987186 + -11.32075472t + t2 = 34.304022803 Factor a perfect square on the left side: (t + -5.66037736)(t + -5.66037736) = 34.304022803 Calculate the square root of the right side: 5.856963616 Break this problem into two subproblems by setting (t + -5.66037736) equal to 5.856963616 and -5.856963616.Subproblem 1
t + -5.66037736 = 5.856963616 Simplifying t + -5.66037736 = 5.856963616 Reorder the terms: -5.66037736 + t = 5.856963616 Solving -5.66037736 + t = 5.856963616 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.66037736' to each side of the equation. -5.66037736 + 5.66037736 + t = 5.856963616 + 5.66037736 Combine like terms: -5.66037736 + 5.66037736 = 0.00000000 0.00000000 + t = 5.856963616 + 5.66037736 t = 5.856963616 + 5.66037736 Combine like terms: 5.856963616 + 5.66037736 = 11.517340976 t = 11.517340976 Simplifying t = 11.517340976Subproblem 2
t + -5.66037736 = -5.856963616 Simplifying t + -5.66037736 = -5.856963616 Reorder the terms: -5.66037736 + t = -5.856963616 Solving -5.66037736 + t = -5.856963616 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.66037736' to each side of the equation. -5.66037736 + 5.66037736 + t = -5.856963616 + 5.66037736 Combine like terms: -5.66037736 + 5.66037736 = 0.00000000 0.00000000 + t = -5.856963616 + 5.66037736 t = -5.856963616 + 5.66037736 Combine like terms: -5.856963616 + 5.66037736 = -0.196586256 t = -0.196586256 Simplifying t = -0.196586256Solution
The solution to the problem is based on the solutions from the subproblems. t = {11.517340976, -0.196586256}
| -4-8k=36 | | 9x-1=729 | | 20x=19x+3 | | X*2-75=-25 | | 5d-8=30 | | 8x-22=9x-5-4x | | 7(6+v)= | | 100+2y=250 | | -18=-6(5s-8) | | 3+4(2x-1)=15 | | -3(2v-5)-7(6v-3)=-10v-2v | | n^2/7n/15=5 | | C/2-85=685 | | 4xy*2fory=5 | | x+48+2x-32=58 | | 0=-14.5t^2+30t+6 | | 7(2x+5)=105 | | 5x-3(x+6)=8(x-7) | | t+20+5=2 | | u-1/2=-5/8 | | 3x-43=100 | | 8x-3x=6 | | 3x+2=10-11(x-1) | | 4x-5/7= | | -3(1+7z)=20 | | 4(2)t+5=2 | | (2y+3)(2y+3)=cy^2+dy+9 | | 35-4*x=-1 | | 3(3a+3)+6=78 | | 13x+15=119 | | 0=-5.85t^2+30t+6 | | (2a-1)/3=5,6 |