If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 16t2 + -30t + 12 = 0 Reorder the terms: 12 + -30t + 16t2 = 0 Solving 12 + -30t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -15t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -15t + 8t2)' equal to zero and attempt to solve: Simplifying 6 + -15t + 8t2 = 0 Solving 6 + -15t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.75 + -1.875t + t2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -1.875t + -0.75 + t2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -1.875t + t2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1.875t + t2 = 0 + -0.75 -1.875t + t2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -1.875t + t2 = -0.75 The t term is -1.875t. Take half its coefficient (-0.9375). Square it (0.87890625) and add it to both sides. Add '0.87890625' to each side of the equation. -1.875t + 0.87890625 + t2 = -0.75 + 0.87890625 Reorder the terms: 0.87890625 + -1.875t + t2 = -0.75 + 0.87890625 Combine like terms: -0.75 + 0.87890625 = 0.12890625 0.87890625 + -1.875t + t2 = 0.12890625 Factor a perfect square on the left side: (t + -0.9375)(t + -0.9375) = 0.12890625 Calculate the square root of the right side: 0.359035165 Break this problem into two subproblems by setting (t + -0.9375) equal to 0.359035165 and -0.359035165.Subproblem 1
t + -0.9375 = 0.359035165 Simplifying t + -0.9375 = 0.359035165 Reorder the terms: -0.9375 + t = 0.359035165 Solving -0.9375 + t = 0.359035165 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = 0.359035165 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = 0.359035165 + 0.9375 t = 0.359035165 + 0.9375 Combine like terms: 0.359035165 + 0.9375 = 1.296535165 t = 1.296535165 Simplifying t = 1.296535165Subproblem 2
t + -0.9375 = -0.359035165 Simplifying t + -0.9375 = -0.359035165 Reorder the terms: -0.9375 + t = -0.359035165 Solving -0.9375 + t = -0.359035165 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.9375' to each side of the equation. -0.9375 + 0.9375 + t = -0.359035165 + 0.9375 Combine like terms: -0.9375 + 0.9375 = 0.0000 0.0000 + t = -0.359035165 + 0.9375 t = -0.359035165 + 0.9375 Combine like terms: -0.359035165 + 0.9375 = 0.578464835 t = 0.578464835 Simplifying t = 0.578464835Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.296535165, 0.578464835}Solution
t = {1.296535165, 0.578464835}
| y=-2abs(x+2)-5 | | 8t^2-15t+12=0 | | 50(3-e^2x)=125 | | B/4b=8 | | ln(x)=0.313 | | -7x^2=448 | | lnx=0.313 | | 3240=15*12*x | | (8x+72)+2x+28=180 | | 3*x+4=7 | | 20+(-12)=3y+y | | (x+9)(x-2)=42 | | b-1/4-1/2 | | 2(3+x)+5(x-7)= | | 10+e^4x=18 | | x/9-14=x/9 | | 11x^2+2x-1=0 | | 4y+16+3y= | | b/6-7=-1 | | 7x+4x+3+9=7x+3+3x | | 3+3x=57 | | w/7-0.3 | | m-3+2=[-3-8]+7 | | 5.4k+14.6-10.1k=12.8-3.5k-0.6 | | 2n^2-1=0 | | T/4-16 | | 1/3s-1/5 | | 4y-2=6y | | 2x+7=10x+29 | | -173=4x+3(-6x-11) | | -(-3x)=(-47) | | 2(9s+7)-12s=3(2s+2)-8 |