If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = 12t2 + -18t + -10 Reorder the terms: 0 = -10 + -18t + 12t2 Solving 0 = -10 + -18t + 12t2 Solving for variable 't'. Combine like terms: 0 + 10 = 10 10 + 18t + -12t2 = -10 + -18t + 12t2 + 10 + 18t + -12t2 Reorder the terms: 10 + 18t + -12t2 = -10 + 10 + -18t + 18t + 12t2 + -12t2 Combine like terms: -10 + 10 = 0 10 + 18t + -12t2 = 0 + -18t + 18t + 12t2 + -12t2 10 + 18t + -12t2 = -18t + 18t + 12t2 + -12t2 Combine like terms: -18t + 18t = 0 10 + 18t + -12t2 = 0 + 12t2 + -12t2 10 + 18t + -12t2 = 12t2 + -12t2 Combine like terms: 12t2 + -12t2 = 0 10 + 18t + -12t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 9t + -6t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 9t + -6t2)' equal to zero and attempt to solve: Simplifying 5 + 9t + -6t2 = 0 Solving 5 + 9t + -6t2 = 0 Begin completing the square. Divide all terms by -6 the coefficient of the squared term: Divide each side by '-6'. -0.8333333333 + -1.5t + t2 = 0 Move the constant term to the right: Add '0.8333333333' to each side of the equation. -0.8333333333 + -1.5t + 0.8333333333 + t2 = 0 + 0.8333333333 Reorder the terms: -0.8333333333 + 0.8333333333 + -1.5t + t2 = 0 + 0.8333333333 Combine like terms: -0.8333333333 + 0.8333333333 = 0.0000000000 0.0000000000 + -1.5t + t2 = 0 + 0.8333333333 -1.5t + t2 = 0 + 0.8333333333 Combine like terms: 0 + 0.8333333333 = 0.8333333333 -1.5t + t2 = 0.8333333333 The t term is -1.5t. Take half its coefficient (-0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. -1.5t + 0.5625 + t2 = 0.8333333333 + 0.5625 Reorder the terms: 0.5625 + -1.5t + t2 = 0.8333333333 + 0.5625 Combine like terms: 0.8333333333 + 0.5625 = 1.3958333333 0.5625 + -1.5t + t2 = 1.3958333333 Factor a perfect square on the left side: (t + -0.75)(t + -0.75) = 1.3958333333 Calculate the square root of the right side: 1.181453907 Break this problem into two subproblems by setting (t + -0.75) equal to 1.181453907 and -1.181453907.Subproblem 1
t + -0.75 = 1.181453907 Simplifying t + -0.75 = 1.181453907 Reorder the terms: -0.75 + t = 1.181453907 Solving -0.75 + t = 1.181453907 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = 1.181453907 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = 1.181453907 + 0.75 t = 1.181453907 + 0.75 Combine like terms: 1.181453907 + 0.75 = 1.931453907 t = 1.931453907 Simplifying t = 1.931453907Subproblem 2
t + -0.75 = -1.181453907 Simplifying t + -0.75 = -1.181453907 Reorder the terms: -0.75 + t = -1.181453907 Solving -0.75 + t = -1.181453907 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.75' to each side of the equation. -0.75 + 0.75 + t = -1.181453907 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + t = -1.181453907 + 0.75 t = -1.181453907 + 0.75 Combine like terms: -1.181453907 + 0.75 = -0.431453907 t = -0.431453907 Simplifying t = -0.431453907Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.931453907, -0.431453907}Solution
t = {1.931453907, -0.431453907}
| (x-(6+2i))(x-(6-2i))=0 | | 100h^2+25h=0 | | 3/6=x/2 | | r+t+8r+13t= | | 8x-11x=12 | | x-7-4x=7x-27 | | Y=x+3x+2 | | 4a*5ab= | | 2y-19y=21 | | 3x-5=-48-40 | | 7(11x+2)=-5+77x | | (-5+4i)+(4-7i)= | | x^2-32i=0 | | Y=(x-9) | | 2(3t+-8)+-47=10 | | 5x+2(3x-5)=6x+5 | | 0.125r-0.0625-0.25=0.25+r | | -18=21x | | x+3y=2x+y | | 3x-5=.48-40x | | 8n=-3m-1 | | 10s=6(3+s) | | 9d+5d=5 | | Y=2x-2x | | 1.8x+32=22 | | 4x+3+5x=6(2x-3) | | 10x=6x+7-16x | | z=40+-3z | | -4(6.5z-7)=-15.5-6z | | t(2-m)+s(2-m)=0 | | x^2-49x+70=0 | | 8m=-3n-1 |