If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying -16t2 + 192t + 80 = 0 Reorder the terms: 80 + 192t + -16t2 = 0 Solving 80 + 192t + -16t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '16'. 16(5 + 12t + -1t2) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(5 + 12t + -1t2)' equal to zero and attempt to solve: Simplifying 5 + 12t + -1t2 = 0 Solving 5 + 12t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -5 + -12t + t2 = 0 Move the constant term to the right: Add '5' to each side of the equation. -5 + -12t + 5 + t2 = 0 + 5 Reorder the terms: -5 + 5 + -12t + t2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12t + t2 = 0 + 5 -12t + t2 = 0 + 5 Combine like terms: 0 + 5 = 5 -12t + t2 = 5 The t term is -12t. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12t + 36 + t2 = 5 + 36 Reorder the terms: 36 + -12t + t2 = 5 + 36 Combine like terms: 5 + 36 = 41 36 + -12t + t2 = 41 Factor a perfect square on the left side: (t + -6)(t + -6) = 41 Calculate the square root of the right side: 6.403124237 Break this problem into two subproblems by setting (t + -6) equal to 6.403124237 and -6.403124237.Subproblem 1
t + -6 = 6.403124237 Simplifying t + -6 = 6.403124237 Reorder the terms: -6 + t = 6.403124237 Solving -6 + t = 6.403124237 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + t = 6.403124237 + 6 Combine like terms: -6 + 6 = 0 0 + t = 6.403124237 + 6 t = 6.403124237 + 6 Combine like terms: 6.403124237 + 6 = 12.403124237 t = 12.403124237 Simplifying t = 12.403124237Subproblem 2
t + -6 = -6.403124237 Simplifying t + -6 = -6.403124237 Reorder the terms: -6 + t = -6.403124237 Solving -6 + t = -6.403124237 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + t = -6.403124237 + 6 Combine like terms: -6 + 6 = 0 0 + t = -6.403124237 + 6 t = -6.403124237 + 6 Combine like terms: -6.403124237 + 6 = -0.403124237 t = -0.403124237 Simplifying t = -0.403124237Solution
The solution to the problem is based on the solutions from the subproblems. t = {12.403124237, -0.403124237}Solution
t = {12.403124237, -0.403124237}
| a+4=4a+2 | | 94-5x=5-10x | | 5b^2+10b+12=0 | | -4t^2+48t+20=0 | | 6x+39=15x-32 | | 3x+188=x | | 11x-12=x | | (5w-10)=5 | | 11x-12= | | 3x+188= | | 2x+40=12-60 | | (a+4)(2a^2-3a+4)=0 | | 9u^2-26u-3=0 | | 4x^2-25=(2x+5) | | 3=5p-8 | | x^2-9=(x+3) | | (-2+1)(y-4)=3 | | 6x^2+11x+3=(3x+1) | | 175+3x=5 | | 6-10x= | | 0.1x-3.1=0.5(x-5) | | 8x+2=-6x | | 54-5x=4x+23 | | 8x+x=-6x | | 2=x^2-6x | | y=3/3+4 | | x-3=4-6 | | y=6/3+4 | | x-2y+7=0 | | y=0/3+4 | | 4(z-2)=7(3z+6)+1 | | 3a*7a= |