If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 10 = -16t2 + 80t + 4 Reorder the terms: 10 = 4 + 80t + -16t2 Solving 10 = 4 + 80t + -16t2 Solving for variable 't'. Combine like terms: 10 + -4 = 6 6 + -80t + 16t2 = 4 + 80t + -16t2 + -4 + -80t + 16t2 Reorder the terms: 6 + -80t + 16t2 = 4 + -4 + 80t + -80t + -16t2 + 16t2 Combine like terms: 4 + -4 = 0 6 + -80t + 16t2 = 0 + 80t + -80t + -16t2 + 16t2 6 + -80t + 16t2 = 80t + -80t + -16t2 + 16t2 Combine like terms: 80t + -80t = 0 6 + -80t + 16t2 = 0 + -16t2 + 16t2 6 + -80t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 6 + -80t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -40t + 8t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -40t + 8t2)' equal to zero and attempt to solve: Simplifying 3 + -40t + 8t2 = 0 Solving 3 + -40t + 8t2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.375 + -5t + t2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + -5t + -0.375 + t2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + -5t + t2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + -5t + t2 = 0 + -0.375 -5t + t2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 -5t + t2 = -0.375 The t term is -5t. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5t + 6.25 + t2 = -0.375 + 6.25 Reorder the terms: 6.25 + -5t + t2 = -0.375 + 6.25 Combine like terms: -0.375 + 6.25 = 5.875 6.25 + -5t + t2 = 5.875 Factor a perfect square on the left side: (t + -2.5)(t + -2.5) = 5.875 Calculate the square root of the right side: 2.423839929 Break this problem into two subproblems by setting (t + -2.5) equal to 2.423839929 and -2.423839929.Subproblem 1
t + -2.5 = 2.423839929 Simplifying t + -2.5 = 2.423839929 Reorder the terms: -2.5 + t = 2.423839929 Solving -2.5 + t = 2.423839929 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = 2.423839929 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = 2.423839929 + 2.5 t = 2.423839929 + 2.5 Combine like terms: 2.423839929 + 2.5 = 4.923839929 t = 4.923839929 Simplifying t = 4.923839929Subproblem 2
t + -2.5 = -2.423839929 Simplifying t + -2.5 = -2.423839929 Reorder the terms: -2.5 + t = -2.423839929 Solving -2.5 + t = -2.423839929 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.5' to each side of the equation. -2.5 + 2.5 + t = -2.423839929 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + t = -2.423839929 + 2.5 t = -2.423839929 + 2.5 Combine like terms: -2.423839929 + 2.5 = 0.076160071 t = 0.076160071 Simplifying t = 0.076160071Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.923839929, 0.076160071}Solution
t = {4.923839929, 0.076160071}
| 23x+4x^2-6=0 | | 2x^2-36x+36=0 | | 8k+8=72 | | (-3t-5)8= | | 5x=4x-8 | | 10=-16t^2-80t+4 | | 3x+7=2x+3 | | 22-5(6v+1)=-63 | | 2x-14=-10 | | 10x^2+3-11x=0 | | S^3=4s^2t | | a+a^2b+a^3b^3=0 | | 4st=t | | 4h+12h-16=6 | | 2x^2+3y^2=57 | | X^2-3y^2=15 | | 2x+x-4=29 | | 12p=84 | | 3m-2n=6 | | -16(x-5)=4(x+5) | | t^2-17t=-52 | | 9x-3=96 | | 8(x-3)=6x-18 | | 3a-4b=11 | | 5+2d=13 | | 5x-4y=9 | | -x^2+4x=-53 | | a^2+13a=12 | | 6p+3p+7z-13z= | | 3(x-3)-3= | | 3a-5b=21 | | ax(x+1)=1 |