If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 150 = 16t2 + 120t + 3 Reorder the terms: 150 = 3 + 120t + 16t2 Solving 150 = 3 + 120t + 16t2 Solving for variable 't'. Combine like terms: 150 + -3 = 147 147 + -120t + -16t2 = 3 + 120t + 16t2 + -3 + -120t + -16t2 Reorder the terms: 147 + -120t + -16t2 = 3 + -3 + 120t + -120t + 16t2 + -16t2 Combine like terms: 3 + -3 = 0 147 + -120t + -16t2 = 0 + 120t + -120t + 16t2 + -16t2 147 + -120t + -16t2 = 120t + -120t + 16t2 + -16t2 Combine like terms: 120t + -120t = 0 147 + -120t + -16t2 = 0 + 16t2 + -16t2 147 + -120t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 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}
| 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 | | 90=3x+39+6x+15 | | 16(x+2)-8=16x+14 | | 8z+9z=8z-2+5z | | 134=6x+31+5x+4 | | (x^2-10+4x)=0 | | 8z+9z=8z-2+5z | | -108=-2(6n+6) | | 84=4x+2+4X+2+6x+6x | | 5x^2+12=3x^2-20 | | 4+3+17= | | x^6-4x^4-6x^2+24=0 | | 1.5x^2+x^2=2x^2 | | 3+5*(x+2)=8x+20 |