If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 20t = -16t2 + 200 Reorder the terms: 20t = 200 + -16t2 Solving 20t = 200 + -16t2 Solving for variable 't'. Reorder the terms: -200 + 20t + 16t2 = 200 + -16t2 + -200 + 16t2 Reorder the terms: -200 + 20t + 16t2 = 200 + -200 + -16t2 + 16t2 Combine like terms: 200 + -200 = 0 -200 + 20t + 16t2 = 0 + -16t2 + 16t2 -200 + 20t + 16t2 = -16t2 + 16t2 Combine like terms: -16t2 + 16t2 = 0 -200 + 20t + 16t2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-50 + 5t + 4t2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + 5t + 4t2)' equal to zero and attempt to solve: Simplifying -50 + 5t + 4t2 = 0 Solving -50 + 5t + 4t2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. -12.5 + 1.25t + t2 = 0 Move the constant term to the right: Add '12.5' to each side of the equation. -12.5 + 1.25t + 12.5 + t2 = 0 + 12.5 Reorder the terms: -12.5 + 12.5 + 1.25t + t2 = 0 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + 1.25t + t2 = 0 + 12.5 1.25t + t2 = 0 + 12.5 Combine like terms: 0 + 12.5 = 12.5 1.25t + t2 = 12.5 The t term is 1.25t. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25t + 0.390625 + t2 = 12.5 + 0.390625 Reorder the terms: 0.390625 + 1.25t + t2 = 12.5 + 0.390625 Combine like terms: 12.5 + 0.390625 = 12.890625 0.390625 + 1.25t + t2 = 12.890625 Factor a perfect square on the left side: (t + 0.625)(t + 0.625) = 12.890625 Calculate the square root of the right side: 3.590351654 Break this problem into two subproblems by setting (t + 0.625) equal to 3.590351654 and -3.590351654.Subproblem 1
t + 0.625 = 3.590351654 Simplifying t + 0.625 = 3.590351654 Reorder the terms: 0.625 + t = 3.590351654 Solving 0.625 + t = 3.590351654 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + t = 3.590351654 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + t = 3.590351654 + -0.625 t = 3.590351654 + -0.625 Combine like terms: 3.590351654 + -0.625 = 2.965351654 t = 2.965351654 Simplifying t = 2.965351654Subproblem 2
t + 0.625 = -3.590351654 Simplifying t + 0.625 = -3.590351654 Reorder the terms: 0.625 + t = -3.590351654 Solving 0.625 + t = -3.590351654 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.625' to each side of the equation. 0.625 + -0.625 + t = -3.590351654 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + t = -3.590351654 + -0.625 t = -3.590351654 + -0.625 Combine like terms: -3.590351654 + -0.625 = -4.215351654 t = -4.215351654 Simplifying t = -4.215351654Solution
The solution to the problem is based on the solutions from the subproblems. t = {2.965351654, -4.215351654}Solution
t = {2.965351654, -4.215351654}
| 7x-5+3x= | | 6x+5-14x=10x | | 8(x-8)+6x= | | 3x-y=113 | | (-n+7)+(-7n+6)= | | 9(q-2)=3(1-12) | | (5k^2+8k)-(5k^2+11k)= | | 2n^3-2n^2-60n=0 | | (7z+1)+(-4z-5)= | | (z^-4*y^(3/4))^(1/2) | | (-9n-9)+(8n+8)= | | .19=(1.58-x)/1.58 | | 3y-7x=-30 | | 3x-x-2=10-2 | | (-6n-6)+(8n-6)= | | -1(8q-23)=55 | | .5(6x+4)=2(x-7) | | ((5x+20)+x)= | | X+.0275x=100 | | (5x+20)=180 | | 5y+6+4c=110 | | 9y=3-10x | | (-3c+6)+(-c+8)= | | 8y+10=5y+3 | | 4(-6n+4)-n=91 | | .8t=.6+.6t | | 2(x-6)+3=18 | | x+3+4x-58=180 | | 3x-x=10-4 | | (8b+7)+(2b-9)= | | 14.2=6.35 | | 2(x-6)+3x=75 |