If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 100 = 20t + t2 Solving 100 = 20t + t2 Solving for variable 't'. Reorder the terms: 100 + -20t + -1t2 = 20t + -20t + t2 + -1t2 Combine like terms: 20t + -20t = 0 100 + -20t + -1t2 = 0 + t2 + -1t2 100 + -20t + -1t2 = t2 + -1t2 Combine like terms: t2 + -1t2 = 0 100 + -20t + -1t2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -100 + 20t + t2 = 0 Move the constant term to the right: Add '100' to each side of the equation. -100 + 20t + 100 + t2 = 0 + 100 Reorder the terms: -100 + 100 + 20t + t2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + 20t + t2 = 0 + 100 20t + t2 = 0 + 100 Combine like terms: 0 + 100 = 100 20t + t2 = 100 The t term is 20t. Take half its coefficient (10). Square it (100) and add it to both sides. Add '100' to each side of the equation. 20t + 100 + t2 = 100 + 100 Reorder the terms: 100 + 20t + t2 = 100 + 100 Combine like terms: 100 + 100 = 200 100 + 20t + t2 = 200 Factor a perfect square on the left side: (t + 10)(t + 10) = 200 Calculate the square root of the right side: 14.142135624 Break this problem into two subproblems by setting (t + 10) equal to 14.142135624 and -14.142135624.Subproblem 1
t + 10 = 14.142135624 Simplifying t + 10 = 14.142135624 Reorder the terms: 10 + t = 14.142135624 Solving 10 + t = 14.142135624 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = 14.142135624 + -10 Combine like terms: 10 + -10 = 0 0 + t = 14.142135624 + -10 t = 14.142135624 + -10 Combine like terms: 14.142135624 + -10 = 4.142135624 t = 4.142135624 Simplifying t = 4.142135624Subproblem 2
t + 10 = -14.142135624 Simplifying t + 10 = -14.142135624 Reorder the terms: 10 + t = -14.142135624 Solving 10 + t = -14.142135624 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + t = -14.142135624 + -10 Combine like terms: 10 + -10 = 0 0 + t = -14.142135624 + -10 t = -14.142135624 + -10 Combine like terms: -14.142135624 + -10 = -24.142135624 t = -24.142135624 Simplifying t = -24.142135624Solution
The solution to the problem is based on the solutions from the subproblems. t = {4.142135624, -24.142135624}
| 3(a+9.5)=9a-2.7 | | 2u+z=h | | .2=-5z | | (1+2i)(1-2i)= | | 12(x+3)=8x+36+4x | | 1/t-7/t=3 | | 2x-4=193x-4 | | 5(x+6)=13x-14 | | 2x-4=135x-4 | | x^2-a^2b^2=0 | | 2(3y+2)=1.2(12y+8) | | 4-16=-3z | | -x/3+(-7.2)=-2.1 | | 8x-6(3-2x)=20x-18 | | 2z=2.7+.1 | | 10x^2+89x-9=4 | | 3x+11=8x-8 | | 70=12y-2y | | 2(7x-5)(9x+1)=0 | | 12x^2y-18x^2-10xy+15x= | | 8k-2(4-3k)=0 | | 8w-14w=30 | | 1.1m+7.69=3.40 | | Y=-x-3y | | 5(7+3)= | | -57.75=8.9x+9 | | 18.6-2x=3x-2 | | r^2+r+1=-1 | | 8m=4(2m+1) | | x^4+4x^3-11x^2-16x+28=0 | | 3xy^3-24xy^2+48xy= | | 4.2+1.8n=0.24 |