If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2t2 + -9t + 16 = 15 + -4t2 Reorder the terms: 16 + -9t + 2t2 = 15 + -4t2 Solving 16 + -9t + 2t2 = 15 + -4t2 Solving for variable 't'. Reorder the terms: 16 + -15 + -9t + 2t2 + 4t2 = 15 + -4t2 + -15 + 4t2 Combine like terms: 16 + -15 = 1 1 + -9t + 2t2 + 4t2 = 15 + -4t2 + -15 + 4t2 Combine like terms: 2t2 + 4t2 = 6t2 1 + -9t + 6t2 = 15 + -4t2 + -15 + 4t2 Reorder the terms: 1 + -9t + 6t2 = 15 + -15 + -4t2 + 4t2 Combine like terms: 15 + -15 = 0 1 + -9t + 6t2 = 0 + -4t2 + 4t2 1 + -9t + 6t2 = -4t2 + 4t2 Combine like terms: -4t2 + 4t2 = 0 1 + -9t + 6t2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.1666666667 + -1.5t + t2 = 0 Move the constant term to the right: Add '-0.1666666667' to each side of the equation. 0.1666666667 + -1.5t + -0.1666666667 + t2 = 0 + -0.1666666667 Reorder the terms: 0.1666666667 + -0.1666666667 + -1.5t + t2 = 0 + -0.1666666667 Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000 0.0000000000 + -1.5t + t2 = 0 + -0.1666666667 -1.5t + t2 = 0 + -0.1666666667 Combine like terms: 0 + -0.1666666667 = -0.1666666667 -1.5t + t2 = -0.1666666667 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = -0.1666666667 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = -0.1666666667 + 0.5625 Combine like terms: -0.1666666667 + 0.5625 = 0.3958333333 0.5625 + -1.5t + t2 = 0.3958333333 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = 0.3958333333 Calculate the square root of the right side: 0.62915287 Break this problem into two subproblems by setting (t + -0.75) equal to 0.62915287 and -0.62915287.Subproblem 1
t + -0.75 = 0.62915287 Simplifying t + -0.75 = 0.62915287 Reorder the terms: -0.75 + t = 0.62915287 Solving -0.75 + t = 0.62915287 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = 0.62915287 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = 0.62915287 + 0.75 t = 0.62915287 + 0.75 Combine like terms: 0.62915287 + 0.75 = 1.37915287 t = 1.37915287 Simplifying t = 1.37915287Subproblem 2
t + -0.75 = -0.62915287 Simplifying t + -0.75 = -0.62915287 Reorder the terms: -0.75 + t = -0.62915287 Solving -0.75 + t = -0.62915287 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = -0.62915287 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = -0.62915287 + 0.75 t = -0.62915287 + 0.75 Combine like terms: -0.62915287 + 0.75 = 0.12084713 t = 0.12084713 Simplifying t = 0.12084713Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.37915287, 0.12084713}
| 6x-12=4(x-2) | | (z-7000)/5000=0.25 | | 19x+rw=-37x+w | | 7x=49x | | 6x^2-47+15=0 | | 2nr=c | | a+x=2 | | t=3+3n | | 4m=3n+8 | | m=ath | | Y=7mx-3 | | y=-1+x-1 | | 4x+w=9 | | x+25-36=0 | | Ix-42.04I=23.24 | | 3-5=31 | | 4/3(3.14)(19)^3 | | -7w+3(w-6)=-2 | | -18x+12=10 | | 2x^3+12x=17 | | 7p-2=5 | | (7000-z)/5000=0.25 | | (7000-x)/5000=0.25 | | sm+6=31 | | 2p-4=9+p | | 4+8=x | | 3x-2(2x-7)=7 | | -6=-4n+-6 | | 2x-8(2x-11)=4 | | 3x+1(2x-6)=19 | | 3(4x+12)-2(x+3)=10(x+3)+4(x+4) | | 4x-3(2x+7)=5(x+4)+1 |