If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 311 = 16t2 + 144t + 7 Reorder the terms: 311 = 7 + 144t + 16t2 Solving 311 = 7 + 144t + 16t2 Solving for variable 't'. Combine like terms: 311 + -7 = 304 304 + -144t + -16t2 = 7 + 144t + 16t2 + -7 + -144t + -16t2 Reorder the terms: 304 + -144t + -16t2 = 7 + -7 + 144t + -144t + 16t2 + -16t2 Combine like terms: 7 + -7 = 0 304 + -144t + -16t2 = 0 + 144t + -144t + 16t2 + -16t2 304 + -144t + -16t2 = 144t + -144t + 16t2 + -16t2 Combine like terms: 144t + -144t = 0 304 + -144t + -16t2 = 0 + 16t2 + -16t2 304 + -144t + -16t2 = 16t2 + -16t2 Combine like terms: 16t2 + -16t2 = 0 304 + -144t + -16t2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(19 + -9t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(19 + -9t + -1t2)' equal to zero and attempt to solve: Simplifying 19 + -9t + -1t2 = 0 Solving 19 + -9t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -19 + 9t + t2 = 0 Move the constant term to the right: Add '19' to each side of the equation. -19 + 9t + 19 + t2 = 0 + 19 Reorder the terms: -19 + 19 + 9t + t2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 9t + t2 = 0 + 19 9t + t2 = 0 + 19 Combine like terms: 0 + 19 = 19 9t + t2 = 19 The t term is 9t. Take half its coefficient (4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. 9t + 20.25 + t2 = 19 + 20.25 Reorder the terms: 20.25 + 9t + t2 = 19 + 20.25 Combine like terms: 19 + 20.25 = 39.25 20.25 + 9t + t2 = 39.25 Factor a perfect square on the left side: (t + 4.5)(t + 4.5) = 39.25 Calculate the square root of the right side: 6.264982043 Break this problem into two subproblems by setting (t + 4.5) equal to 6.264982043 and -6.264982043.Subproblem 1
t + 4.5 = 6.264982043 Simplifying t + 4.5 = 6.264982043 Reorder the terms: 4.5 + t = 6.264982043 Solving 4.5 + t = 6.264982043 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + t = 6.264982043 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + t = 6.264982043 + -4.5 t = 6.264982043 + -4.5 Combine like terms: 6.264982043 + -4.5 = 1.764982043 t = 1.764982043 Simplifying t = 1.764982043Subproblem 2
t + 4.5 = -6.264982043 Simplifying t + 4.5 = -6.264982043 Reorder the terms: 4.5 + t = -6.264982043 Solving 4.5 + t = -6.264982043 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + t = -6.264982043 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + t = -6.264982043 + -4.5 t = -6.264982043 + -4.5 Combine like terms: -6.264982043 + -4.5 = -10.764982043 t = -10.764982043 Simplifying t = -10.764982043Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.764982043, -10.764982043}Solution
t = {1.764982043, -10.764982043}
| 8h-19=53 | | 3(x+6)+y+2z=25 | | 32-4x=8-8x | | 1/4-3 | | x-48/7=-x | | 4r^2+9r=0 | | 6+49x=28x+42 | | (35+5n)-(20+4n)= | | 10b-15= | | 7h-28=21 | | 2x+11-7x=19-7x+12x-8 | | -(7/13p)=2 | | 4a+3=28 | | 3x-7=5x-8 | | 5(4k+5)=125 | | 4(4m-2)=m+4 | | 7m-13=43 | | 5y=10-3x | | 2(9b-7)=22 | | 1/2-(-1/8)= | | sqrt(x^2-2x+2)=0 | | 11-2(18+3p)=49 | | ln(5)+ln(4-5x)=3 | | 5(a+3)=4(2a+3) | | 3(3a-2)=75 | | 2logx+logy=3 | | 23=-11-4x | | 2(2n+1)=62 | | 7X-4-X=2X+12-3X | | 6(b+6)=41 | | 5y-10+y+60=6y+50-4y | | 6+22=4 |