If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10t2 + -2t3 + -4t4 = 0 Solving 10t2 + -2t3 + -4t4 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t2'. 2t2(5 + -1t + -2t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 't2' equal to zero and attempt to solve: Simplifying t2 = 0 Solving t2 = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t2 = 0 Take the square root of each side: t = {0}Subproblem 2
Set the factor '(5 + -1t + -2t2)' equal to zero and attempt to solve: Simplifying 5 + -1t + -2t2 = 0 Solving 5 + -1t + -2t2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. -2.5 + 0.5t + t2 = 0 Move the constant term to the right: Add '2.5' to each side of the equation. -2.5 + 0.5t + 2.5 + t2 = 0 + 2.5 Reorder the terms: -2.5 + 2.5 + 0.5t + t2 = 0 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.5t + t2 = 0 + 2.5 0.5t + t2 = 0 + 2.5 Combine like terms: 0 + 2.5 = 2.5 0.5t + t2 = 2.5 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 = 2.5 + 0.0625 Reorder the terms: 0.0625 + 0.5t + t2 = 2.5 + 0.0625 Combine like terms: 2.5 + 0.0625 = 2.5625 0.0625 + 0.5t + t2 = 2.5625 Factor a perfect square on the left side: (t + 0.25)(t + 0.25) = 2.5625 Calculate the square root of the right side: 1.600781059 Break this problem into two subproblems by setting (t + 0.25) equal to 1.600781059 and -1.600781059.Subproblem 1
t + 0.25 = 1.600781059 Simplifying t + 0.25 = 1.600781059 Reorder the terms: 0.25 + t = 1.600781059 Solving 0.25 + t = 1.600781059 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 = 1.600781059 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + t = 1.600781059 + -0.25 t = 1.600781059 + -0.25 Combine like terms: 1.600781059 + -0.25 = 1.350781059 t = 1.350781059 Simplifying t = 1.350781059Subproblem 2
t + 0.25 = -1.600781059 Simplifying t + 0.25 = -1.600781059 Reorder the terms: 0.25 + t = -1.600781059 Solving 0.25 + t = -1.600781059 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 = -1.600781059 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + t = -1.600781059 + -0.25 t = -1.600781059 + -0.25 Combine like terms: -1.600781059 + -0.25 = -1.850781059 t = -1.850781059 Simplifying t = -1.850781059Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.350781059, -1.850781059}Solution
t = {0, 1.350781059, -1.850781059}
| 6.27+2.09*3= | | 6.27*2= | | 3(6.27+2.09)= | | 3(x+2.09)=2x | | 2x+3y+x-5y= | | 2x+3y+x-5= | | -7(3)= | | -5(x+2)-11=13+6 | | 3x(x-2)=4 | | x-2a=x-2b | | x-2a=x-cb | | 56*0.9+x*0.1=60 | | x+9=-3+11 | | x^2-15+24=-2x-18 | | -3=r/4-5 | | -100=-9+7x | | 8=7+k/12 | | 10+n/1=10 | | 8+6x=-112 | | -5+4n=63 | | 10p+10=-80 | | M/10-8=-6 | | -20=x-4 | | A-17=-4 | | 0=x^2+11x-78 | | 6/0.133 | | 9m^2-3n-8=-10 | | 29x^2-3=8-20x^2 | | 3x+4/5-2=7 | | m-9/4+3=m/3 | | 2y^2-33y+70=0 | | 5x+4=10-2x |