If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 0 = -5t2 + 10t + 50 Reorder the terms: 0 = 50 + 10t + -5t2 Solving 0 = 50 + 10t + -5t2 Solving for variable 't'. Combine like terms: 0 + -50 = -50 -50 + -10t + 5t2 = 50 + 10t + -5t2 + -50 + -10t + 5t2 Reorder the terms: -50 + -10t + 5t2 = 50 + -50 + 10t + -10t + -5t2 + 5t2 Combine like terms: 50 + -50 = 0 -50 + -10t + 5t2 = 0 + 10t + -10t + -5t2 + 5t2 -50 + -10t + 5t2 = 10t + -10t + -5t2 + 5t2 Combine like terms: 10t + -10t = 0 -50 + -10t + 5t2 = 0 + -5t2 + 5t2 -50 + -10t + 5t2 = -5t2 + 5t2 Combine like terms: -5t2 + 5t2 = 0 -50 + -10t + 5t2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-10 + -2t + t2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + -2t + t2)' equal to zero and attempt to solve: Simplifying -10 + -2t + t2 = 0 Solving -10 + -2t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + -2t + 10 + t2 = 0 + 10 Reorder the terms: -10 + 10 + -2t + t2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2t + t2 = 0 + 10 -2t + t2 = 0 + 10 Combine like terms: 0 + 10 = 10 -2t + t2 = 10 The t term is -2t. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2t + 1 + t2 = 10 + 1 Reorder the terms: 1 + -2t + t2 = 10 + 1 Combine like terms: 10 + 1 = 11 1 + -2t + t2 = 11 Factor a perfect square on the left side: (t + -1)(t + -1) = 11 Calculate the square root of the right side: 3.31662479 Break this problem into two subproblems by setting (t + -1) equal to 3.31662479 and -3.31662479.Subproblem 1
t + -1 = 3.31662479 Simplifying t + -1 = 3.31662479 Reorder the terms: -1 + t = 3.31662479 Solving -1 + t = 3.31662479 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = 3.31662479 + 1 Combine like terms: -1 + 1 = 0 0 + t = 3.31662479 + 1 t = 3.31662479 + 1 Combine like terms: 3.31662479 + 1 = 4.31662479 t = 4.31662479 Simplifying t = 4.31662479Subproblem 2
t + -1 = -3.31662479 Simplifying t + -1 = -3.31662479 Reorder the terms: -1 + t = -3.31662479 Solving -1 + t = -3.31662479 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + t = -3.31662479 + 1 Combine like terms: -1 + 1 = 0 0 + t = -3.31662479 + 1 t = -3.31662479 + 1 Combine like terms: -3.31662479 + 1 = -2.31662479 t = -2.31662479 Simplifying t = -2.31662479Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.31662479, -2.31662479}Solution
t = {4.31662479, -2.31662479}
| 0=-5t^2+10t+50 | | 125+x^3= | | 86-2x=4x+8 | | 2x^5+250x^2= | | 2m^2+6m=22 | | 2x^3-2xy^2= | | 5-2(r-2)=2r | | 3.1q-1.4-5.5q=-3.4q-4.2 | | 25x^2y-10xy-35y= | | -(7y+1)-(-6y-3)=0 | | 5xplus= | | 4x+168=10x-6 | | 30+5y=180 | | 2t-p=3f | | 1/2-1/6 | | 2t-p=3G | | 4(7x+6)=0 | | 2x+100000=625000000 | | k*x^2+4x+2=0 | | x=16-64y^2 | | 0.1d-2=0.5(d-2) | | 1/3+1/6 | | x+(3/10)=-2/5 | | 1/2+1/6 | | 3x+179=9x+17 | | 86*29/43*1/4 | | 5/6-1/2 | | 9-u=5 | | 7(t-5)+7t=7(2t+4)-8 | | 11+6g=37 | | 3(x-4)+5=23 | | 0.7x=10.5 |