If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2t3 + 6t2 + -4t = 0 Reorder the terms: -4t + 6t2 + 2t3 = 0 Solving -4t + 6t2 + 2t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '2t'. 2t(-2 + 3t + t2) = 0 Ignore the factor 2.Subproblem 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 '(-2 + 3t + t2)' equal to zero and attempt to solve: Simplifying -2 + 3t + t2 = 0 Solving -2 + 3t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '2' to each side of the equation. -2 + 3t + 2 + t2 = 0 + 2 Reorder the terms: -2 + 2 + 3t + t2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3t + t2 = 0 + 2 3t + t2 = 0 + 2 Combine like terms: 0 + 2 = 2 3t + t2 = 2 The t term is 3t. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3t + 2.25 + t2 = 2 + 2.25 Reorder the terms: 2.25 + 3t + t2 = 2 + 2.25 Combine like terms: 2 + 2.25 = 4.25 2.25 + 3t + t2 = 4.25 Factor a perfect square on the left side: (t + 1.5)(t + 1.5) = 4.25 Calculate the square root of the right side: 2.061552813 Break this problem into two subproblems by setting (t + 1.5) equal to 2.061552813 and -2.061552813.Subproblem 1
t + 1.5 = 2.061552813 Simplifying t + 1.5 = 2.061552813 Reorder the terms: 1.5 + t = 2.061552813 Solving 1.5 + t = 2.061552813 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = 2.061552813 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = 2.061552813 + -1.5 t = 2.061552813 + -1.5 Combine like terms: 2.061552813 + -1.5 = 0.561552813 t = 0.561552813 Simplifying t = 0.561552813Subproblem 2
t + 1.5 = -2.061552813 Simplifying t + 1.5 = -2.061552813 Reorder the terms: 1.5 + t = -2.061552813 Solving 1.5 + t = -2.061552813 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + t = -2.061552813 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + t = -2.061552813 + -1.5 t = -2.061552813 + -1.5 Combine like terms: -2.061552813 + -1.5 = -3.561552813 t = -3.561552813 Simplifying t = -3.561552813Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.561552813, -3.561552813}Solution
t = {0, 0.561552813, -3.561552813}
| 2a+4x=-3a+8x | | 4x^2-11x=-6 | | 4d-25=-3 | | 6y+20-2y=5y+9 | | 10x+7=0 | | 2a+3x=-4a-8x | | 5y-4=-7 | | .36(6)+.06x=.18(18+x) | | 7x+2y+9z-3x+5z-3y= | | x=130-y | | 10(v+4)-2v=2(4v+2)-12 | | Y=2x^2-20x+56 | | Y=2x-20x+15 | | 8(x+4)=8x-4 | | 21x^2+32x+12= | | l=b+c-dsolvef | | V=pieR^2-AB | | 5(x+3)=2(2x-1) | | 3x^2-8=2x | | X^3-5x^2=-4x | | -3y=2y^2+1 | | 17(T-1)=9(T+2)-T | | 9y+5=y-3 | | 36.2=cx-19.7 | | -(18-3s)-(6s+1)=35 | | -12t^2+648T+1644=0 | | 3+2x-(x+1)=3-6 | | -2.66=7(1.5y-0.5) | | 8x^2+5=-4x | | V=pieR^2H-ABforH | | 2(x-8)+6-14x=62 | | 7x+y=-36 |