If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2(8t2 + 32t + -14) = 0 Reorder the terms: 2(-14 + 32t + 8t2) = 0 (-14 * 2 + 32t * 2 + 8t2 * 2) = 0 (-28 + 64t + 16t2) = 0 Solving -28 + 64t + 16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 16t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-7 + 16t + 4t2)' equal to zero and attempt to solve: Simplifying -7 + 16t + 4t2 = 0 Solving -7 + 16t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -1.75 + 4t + t2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + 4t + 1.75 + t2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + 4t + t2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 4t + t2 = 0 + 1.75 4t + t2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 4t + t2 = 1.75 The t term is 4t. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4t + 4 + t2 = 1.75 + 4 Reorder the terms: 4 + 4t + t2 = 1.75 + 4 Combine like terms: 1.75 + 4 = 5.75 4 + 4t + t2 = 5.75 Factor a perfect square on the left side: (t + 2)(t + 2) = 5.75 Calculate the square root of the right side: 2.397915762 Break this problem into two subproblems by setting (t + 2) equal to 2.397915762 and -2.397915762.Subproblem 1
t + 2 = 2.397915762 Simplifying t + 2 = 2.397915762 Reorder the terms: 2 + t = 2.397915762 Solving 2 + t = 2.397915762 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = 2.397915762 + -2 Combine like terms: 2 + -2 = 0 0 + t = 2.397915762 + -2 t = 2.397915762 + -2 Combine like terms: 2.397915762 + -2 = 0.397915762 t = 0.397915762 Simplifying t = 0.397915762Subproblem 2
t + 2 = -2.397915762 Simplifying t + 2 = -2.397915762 Reorder the terms: 2 + t = -2.397915762 Solving 2 + t = -2.397915762 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + t = -2.397915762 + -2 Combine like terms: 2 + -2 = 0 0 + t = -2.397915762 + -2 t = -2.397915762 + -2 Combine like terms: -2.397915762 + -2 = -4.397915762 t = -4.397915762 Simplifying t = -4.397915762Solution
The solution to the problem is based on the solutions from the subproblems. t = {0.397915762, -4.397915762}Solution
t = {0.397915762, -4.397915762}
| 4(3-x)+6x=x+12-3X | | 3.45=x*5+9*5 | | ((1/3)(2x-4))+5=((-2/3)(x+1)) | | y=2/3(1)+4 | | 1/4x-9=6 | | 11x-16=-5x | | 2n-4=9 | | 2b-8+9b-6b= | | 7-4.9t=-15+7.6t | | 14x+6-5x=3 | | 8.50+a=38.45 | | -27=9+4m | | 3+4c=3c+6 | | 4(3-x)+6=3x+10-x | | 3(a-2)=-9 | | -5(t+2)+9t=6 | | u(m+2)+w(m-3)=z(m-1) | | 3n+5n=8(n+5)+4(n-2) | | 8x-22x=33x+44 | | 12x+11-5x=3 | | w-1/7=6/7w-1 | | 4+2a=7+a | | 15(t+3)=3(5t+15) | | 4x^2+3x-125=0 | | 4(-6x+3)=3(10x-4) | | 7x/9=75 | | 6+m/(-12)=18 | | -6+4(x-4)=13x+6-9x | | ((1/4)(6-2x))=-5 | | 2(r-3)=22 | | 5a+2=3a+2a | | 2/3h+1/3h+11=8 |