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 + 72t + 7 Reorder the terms: 0 = 7 + 72t + -16t2 Solving 0 = 7 + 72t + -16t2 Solving for variable 't'. Combine like terms: 0 + -7 = -7 -7 + -72t + 16t2 = 7 + 72t + -16t2 + -7 + -72t + 16t2 Reorder the terms: -7 + -72t + 16t2 = 7 + -7 + 72t + -72t + -16t2 + 16t2 Combine like terms: 7 + -7 = 0 -7 + -72t + 16t2 = 0 + 72t + -72t + -16t2 + 16t2 -7 + -72t + 16t2 = 72t + -72t + -16t2 + 16t2 Combine like terms: 72t + -72t = 0 -7 + -72t + 16t2 = 0 + -16t2 + 16t2 -7 + -72t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -7 + -72t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -0.4375 + -4.5t + t2 = 0 Move the constant term to the right: Add '0.4375' to each side of the equation. -0.4375 + -4.5t + 0.4375 + t2 = 0 + 0.4375 Reorder the terms: -0.4375 + 0.4375 + -4.5t + t2 = 0 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + -4.5t + t2 = 0 + 0.4375 -4.5t + t2 = 0 + 0.4375 Combine like terms: 0 + 0.4375 = 0.4375 -4.5t + t2 = 0.4375 The t term is -4.5t. Take half its coefficient (-2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. -4.5t + 5.0625 + t2 = 0.4375 + 5.0625 Reorder the terms: 5.0625 + -4.5t + t2 = 0.4375 + 5.0625 Combine like terms: 0.4375 + 5.0625 = 5.5 5.0625 + -4.5t + t2 = 5.5 Factor a perfect square on the left side: (t + -2.25)(t + -2.25) = 5.5 Calculate the square root of the right side: 2.34520788 Break this problem into two subproblems by setting (t + -2.25) equal to 2.34520788 and -2.34520788.Subproblem 1
t + -2.25 = 2.34520788 Simplifying t + -2.25 = 2.34520788 Reorder the terms: -2.25 + t = 2.34520788 Solving -2.25 + t = 2.34520788 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + t = 2.34520788 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + t = 2.34520788 + 2.25 t = 2.34520788 + 2.25 Combine like terms: 2.34520788 + 2.25 = 4.59520788 t = 4.59520788 Simplifying t = 4.59520788Subproblem 2
t + -2.25 = -2.34520788 Simplifying t + -2.25 = -2.34520788 Reorder the terms: -2.25 + t = -2.34520788 Solving -2.25 + t = -2.34520788 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.25' to each side of the equation. -2.25 + 2.25 + t = -2.34520788 + 2.25 Combine like terms: -2.25 + 2.25 = 0.00 0.00 + t = -2.34520788 + 2.25 t = -2.34520788 + 2.25 Combine like terms: -2.34520788 + 2.25 = -0.09520788 t = -0.09520788 Simplifying t = -0.09520788Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.59520788, -0.09520788}
| 4(2x+3)=3(2x+4)+2x | | 5w^2+20=110 | | (9x^2-7x+19)= | | 5c-1d=9 | | 4(m+6)=64 | | 2(a-2)=-(a-1/a-4) | | 102=u-66 | | (-2+6i)(3-4i)=0 | | 10+3[9-4(5-2)]= | | .33333+7=13 | | 4.5y+3(2y)=252 | | 4j-3j+3=-32 | | 6/(7+3i)=0 | | .33+7=13 | | .55/100= | | (6)/(7+3i) | | 3(86)+y=34 | | 3x/4+7=10 | | 7(2+2x)=45 | | 6(2x-3)= | | 0=x^2+24x-180 | | -2+y=-3x | | 5x^2+30=90 | | (6-7i)(6-7i)=0 | | (6-7i)= | | 3(-9)+y=34 | | 2x+4=(54-38).2 | | 2/3x+2-6x=-154/3 | | -12-6x=14-7x | | 5x+4=(54-38).2 | | (4x-5)(1+x)=0 | | 3m^4/6m^2 |