If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + 120t + 3 = 150 Reorder the terms: 3 + 120t + 16t2 = 150 Solving 3 + 120t + 16t2 = 150 Solving for variable 't'. Reorder the terms: 3 + -150 + 120t + 16t2 = 150 + -150 Combine like terms: 3 + -150 = -147 -147 + 120t + 16t2 = 150 + -150 Combine like terms: 150 + -150 = 0 -147 + 120t + 16t2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. -9.1875 + 7.5t + t2 = 0 Move the constant term to the right: Add '9.1875' to each side of the equation. -9.1875 + 7.5t + 9.1875 + t2 = 0 + 9.1875 Reorder the terms: -9.1875 + 9.1875 + 7.5t + t2 = 0 + 9.1875 Combine like terms: -9.1875 + 9.1875 = 0.0000 0.0000 + 7.5t + t2 = 0 + 9.1875 7.5t + t2 = 0 + 9.1875 Combine like terms: 0 + 9.1875 = 9.1875 7.5t + t2 = 9.1875 The t term is 7.5t. Take half its coefficient (3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. 7.5t + 14.0625 + t2 = 9.1875 + 14.0625 Reorder the terms: 14.0625 + 7.5t + t2 = 9.1875 + 14.0625 Combine like terms: 9.1875 + 14.0625 = 23.25 14.0625 + 7.5t + t2 = 23.25 Factor a perfect square on the left side: (t + 3.75)(t + 3.75) = 23.25 Calculate the square root of the right side: 4.82182538 Break this problem into two subproblems by setting (t + 3.75) equal to 4.82182538 and -4.82182538.Subproblem 1
t + 3.75 = 4.82182538 Simplifying t + 3.75 = 4.82182538 Reorder the terms: 3.75 + t = 4.82182538 Solving 3.75 + t = 4.82182538 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + t = 4.82182538 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + t = 4.82182538 + -3.75 t = 4.82182538 + -3.75 Combine like terms: 4.82182538 + -3.75 = 1.07182538 t = 1.07182538 Simplifying t = 1.07182538Subproblem 2
t + 3.75 = -4.82182538 Simplifying t + 3.75 = -4.82182538 Reorder the terms: 3.75 + t = -4.82182538 Solving 3.75 + t = -4.82182538 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + t = -4.82182538 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + t = -4.82182538 + -3.75 t = -4.82182538 + -3.75 Combine like terms: -4.82182538 + -3.75 = -8.57182538 t = -8.57182538 Simplifying t = -8.57182538Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.07182538, -8.57182538}
| -8(x+8)-3=-67 | | 4b+5b=9 | | -6z+4z=-6z+6+5z | | 54x^2+18x-4=0 | | 2a+1=a-5 | | y=ax^2+bx+2c | | 15-(3d+6)=3 | | 9x-2=24x+8 | | 70x+10(70)=60x+60*70 | | 4(-3x-4)=20 | | 96=-8(k-4) | | -11-k/6=-3 | | 150=16t^2+120t+3 | | 4t-5-5t-8t=1-4 | | 4(x+3)+2=4x+9 | | 4x(x-z)=x-5 | | 4.4x+48.1=3.7-10.4x | | -7z-4z=-7z+9+4z | | 2z-5z=z-2+4z | | 90=7x-87+2x+6 | | 4(3x+5)=-30+38 | | 7y+6+4y=64 | | 124=4x-6+3x+88 | | x+(x-2)+(x-1)+(x-1)+(x-4)+(x-5)+(x-3)=39 | | -4(1+6n)=-124 | | 2(1/2x+6)=3(x-3) | | 7y+6+4y=180 | | W+2.7=4.6 | | 7x+33+8x-18=45 | | 5sin(3x)=-1 | | 37=6x-54+5x-41 | | 2m+2=16 |