If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t3 + t2 + -8t = 0 Reorder the terms: -8t + t2 + 3t3 = 0 Solving -8t + t2 + 3t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-8 + t + 3t2) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-8 + t + 3t2)' equal to zero and attempt to solve: Simplifying -8 + t + 3t2 = 0 Solving -8 + t + 3t2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -2.666666667 + 0.3333333333t + t2 = 0 Move the constant term to the right: Add '2.666666667' to each side of the equation. -2.666666667 + 0.3333333333t + 2.666666667 + t2 = 0 + 2.666666667 Reorder the terms: -2.666666667 + 2.666666667 + 0.3333333333t + t2 = 0 + 2.666666667 Combine like terms: -2.666666667 + 2.666666667 = 0.000000000 0.000000000 + 0.3333333333t + t2 = 0 + 2.666666667 0.3333333333t + t2 = 0 + 2.666666667 Combine like terms: 0 + 2.666666667 = 2.666666667 0.3333333333t + t2 = 2.666666667 The t term is t. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.3333333333t + 0.25 + t2 = 2.666666667 + 0.25 Reorder the terms: 0.25 + 0.3333333333t + t2 = 2.666666667 + 0.25 Combine like terms: 2.666666667 + 0.25 = 2.916666667 0.25 + 0.3333333333t + t2 = 2.916666667 Factor a perfect square on the left side: (t + 0.5)(t + 0.5) = 2.916666667 Calculate the square root of the right side: 1.707825128 Break this problem into two subproblems by setting (t + 0.5) equal to 1.707825128 and -1.707825128.Subproblem 1
t + 0.5 = 1.707825128 Simplifying t + 0.5 = 1.707825128 Reorder the terms: 0.5 + t = 1.707825128 Solving 0.5 + t = 1.707825128 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = 1.707825128 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = 1.707825128 + -0.5 t = 1.707825128 + -0.5 Combine like terms: 1.707825128 + -0.5 = 1.207825128 t = 1.207825128 Simplifying t = 1.207825128Subproblem 2
t + 0.5 = -1.707825128 Simplifying t + 0.5 = -1.707825128 Reorder the terms: 0.5 + t = -1.707825128 Solving 0.5 + t = -1.707825128 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + t = -1.707825128 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + t = -1.707825128 + -0.5 t = -1.707825128 + -0.5 Combine like terms: -1.707825128 + -0.5 = -2.207825128 t = -2.207825128 Simplifying t = -2.207825128Solution
The solution to the problem is based on the solutions from the subproblems. t = {1.207825128, -2.207825128}Solution
t = {0, 1.207825128, -2.207825128}
| -2(-y+3)=y | | Cosy=0 | | K-14=42 | | 4(7X+4Y)=-6 | | (58*83)*48=g*(83*48) | | K+14=42 | | 7x+3y=p | | (3y^2+1)-(4+2y^2)= | | 4m(2m+5p)= | | -6q-0.4(20+15q)=15 | | 4(w+3)-7w=18 | | 12n-3n=5-n | | 12-3n=5-n | | x(x-3)-51=-3x+13 | | 40+x+45+45=180 | | 105=2x+7x-3 | | 30x+100=44x+0 | | 23+69-5=23 | | 2c=73 | | X(25+20x^2)=0 | | 7+2u=3 | | 18=-6y+4(y+6) | | -(-2)-1=1 | | -41=-7x+3x+7 | | X^2+4c-32=0 | | n+0.6n=64 | | 3(2x)=6x-7 | | 3(2)=6x-7 | | -16=23 | | r=4K-9S | | 4x^2+33x-8=0 | | n+5=-9 |