If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 8t2 + 4t + -150 = 0 Reorder the terms: -150 + 4t + 8t2 = 0 Solving -150 + 4t + 8t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(-75 + 2t + 4t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-75 + 2t + 4t2)' equal to zero and attempt to solve: Simplifying -75 + 2t + 4t2 = 0 Solving -75 + 2t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -18.75 + 0.5t + t2 = 0 Move the constant term to the right: Add '18.75' to each side of the equation. -18.75 + 0.5t + 18.75 + t2 = 0 + 18.75 Reorder the terms: -18.75 + 18.75 + 0.5t + t2 = 0 + 18.75 Combine like terms: -18.75 + 18.75 = 0.00 0.00 + 0.5t + t2 = 0 + 18.75 0.5t + t2 = 0 + 18.75 Combine like terms: 0 + 18.75 = 18.75 0.5t + t2 = 18.75 The t term is 0.5t. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5t + 0.0625 + t2 = 18.75 + 0.0625 Reorder the terms: 0.0625 + 0.5t + t2 = 18.75 + 0.0625 Combine like terms: 18.75 + 0.0625 = 18.8125 0.0625 + 0.5t + t2 = 18.8125 Factor a perfect square on the left side: (t + 0.25)(t + 0.25) = 18.8125 Calculate the square root of the right side: 4.337337893 Break this problem into two subproblems by setting (t + 0.25) equal to 4.337337893 and -4.337337893.Subproblem 1
t + 0.25 = 4.337337893 Simplifying t + 0.25 = 4.337337893 Reorder the terms: 0.25 + t = 4.337337893 Solving 0.25 + t = 4.337337893 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + t = 4.337337893 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + t = 4.337337893 + -0.25 t = 4.337337893 + -0.25 Combine like terms: 4.337337893 + -0.25 = 4.087337893 t = 4.087337893 Simplifying t = 4.087337893Subproblem 2
t + 0.25 = -4.337337893 Simplifying t + 0.25 = -4.337337893 Reorder the terms: 0.25 + t = -4.337337893 Solving 0.25 + t = -4.337337893 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + t = -4.337337893 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + t = -4.337337893 + -0.25 t = -4.337337893 + -0.25 Combine like terms: -4.337337893 + -0.25 = -4.587337893 t = -4.587337893 Simplifying t = -4.587337893Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.087337893, -4.587337893}Solution
t = {4.087337893, -4.587337893}
| 3y+7=7y-3 | | 1.5+1.0x=7.5 | | x-2/9=-1/12 | | 2/3t=14 | | 16x-33=15 | | X/4=8/24 | | 1/x-3/x-1=1 | | 18x+27=31 | | 6x-3y+5=20 | | 195=i*5 | | 75/52=7/x | | https://static.k12.com/eli/bb/501/2_26532/2_18855_7_26539/74cb53dcd9193f21be22b39b0cf2e42159bc0ddb/media/8dbf94b18fb0cb730d129b62092d8a4e51fb8276/mathml_ee3b8e067405fff1ce50d063afcf18954b3b7335_1.gif | | 4n^2+9n+2=(4n+1) | | 5x-15=-9x+30 | | 6(2x-3y)-4(9x+5y)= | | 10y-5=5y-2y+44 | | 4a-2/32 | | (8-7y)-(15+9y)= | | 1974=7x^3+8x | | 11+7n=32 | | 7w+4x-4x-x-2w-3y-3x+4w= | | 81c^4-256= | | 7x^3+9x-1974=0 | | 9tan^2x+1=2 | | x+64=85 | | 8x-7=9+3 | | 4/5=x/340 | | d^3+2d^2-9d-18=0 | | 3p(p-1)=36 | | 4x-1=5x-2x | | 0=4n^3-11n^2-20n | | 13.11=5.16+y |
