If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 2t2 + 20t = 100 Reorder the terms: 20t + 2t2 = 100 Solving 20t + 2t2 = 100 Solving for variable 't'. Reorder the terms: -100 + 20t + 2t2 = 100 + -100 Combine like terms: 100 + -100 = 0 -100 + 20t + 2t2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-50 + 10t + t2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-50 + 10t + t2)' equal to zero and attempt to solve: Simplifying -50 + 10t + t2 = 0 Solving -50 + 10t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '50' to each side of the equation. -50 + 10t + 50 + t2 = 0 + 50 Reorder the terms: -50 + 50 + 10t + t2 = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 10t + t2 = 0 + 50 10t + t2 = 0 + 50 Combine like terms: 0 + 50 = 50 10t + t2 = 50 The t term is 10t. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10t + 25 + t2 = 50 + 25 Reorder the terms: 25 + 10t + t2 = 50 + 25 Combine like terms: 50 + 25 = 75 25 + 10t + t2 = 75 Factor a perfect square on the left side: (t + 5)(t + 5) = 75 Calculate the square root of the right side: 8.660254038 Break this problem into two subproblems by setting (t + 5) equal to 8.660254038 and -8.660254038.Subproblem 1
t + 5 = 8.660254038 Simplifying t + 5 = 8.660254038 Reorder the terms: 5 + t = 8.660254038 Solving 5 + t = 8.660254038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = 8.660254038 + -5 Combine like terms: 5 + -5 = 0 0 + t = 8.660254038 + -5 t = 8.660254038 + -5 Combine like terms: 8.660254038 + -5 = 3.660254038 t = 3.660254038 Simplifying t = 3.660254038Subproblem 2
t + 5 = -8.660254038 Simplifying t + 5 = -8.660254038 Reorder the terms: 5 + t = -8.660254038 Solving 5 + t = -8.660254038 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + t = -8.660254038 + -5 Combine like terms: 5 + -5 = 0 0 + t = -8.660254038 + -5 t = -8.660254038 + -5 Combine like terms: -8.660254038 + -5 = -13.660254038 t = -13.660254038 Simplifying t = -13.660254038Solution
The solution to the problem is based on the solutions from the subproblems. t = {3.660254038, -13.660254038}Solution
t = {3.660254038, -13.660254038}
| -2z+5=28+9z-1 | | 7x+14=7x+14+7+(x+2) | | x-3/4=r/4 | | 10/u=3/8 | | 2x^2+4x-20=4 | | -16+11x=10+10x | | 5e^1/2x=14 | | -23+7x=4x+19 | | 7t^2=-63t | | x+3x+(4)3x=48 | | -24+4x=2x+26 | | 3(t-5)+7=5t+12 | | 8m+7=5+16 | | (x*x)-10/(x*x)=3 | | 8(c-9)=6(2c-9)-4c | | -8a-7(a+2)=-89 | | -7v-6=-41 | | 4.9t^2-56t+40=0 | | 12n^2+4n=0 | | x^2-10/x^2=3 | | (5x)+(6x-10)=90 | | (x^2-9)(x^3-8)=0 | | =(10+10.5)-(6+7) | | (5x)+(6x-10)=180 | | log(x-19)=1 | | =(10+8.5)-(6+7) | | x^2-26+195=0 | | 2(-5y+3)-4y=-8 | | r^2+4r-68=-4 | | 3x=-x-7 | | 1=3(-8)+25 | | 8=11x-95 |