If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 3t2 + -90t + -123 = 0 Reorder the terms: -123 + -90t + 3t2 = 0 Solving -123 + -90t + 3t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '3'. 3(-41 + -30t + t2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-41 + -30t + t2)' equal to zero and attempt to solve: Simplifying -41 + -30t + t2 = 0 Solving -41 + -30t + t2 = 0 Begin completing the square. Move the constant term to the right: Add '41' to each side of the equation. -41 + -30t + 41 + t2 = 0 + 41 Reorder the terms: -41 + 41 + -30t + t2 = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -30t + t2 = 0 + 41 -30t + t2 = 0 + 41 Combine like terms: 0 + 41 = 41 -30t + t2 = 41 The t term is -30t. Take half its coefficient (-15). Square it (225) and add it to both sides. Add '225' to each side of the equation. -30t + 225 + t2 = 41 + 225 Reorder the terms: 225 + -30t + t2 = 41 + 225 Combine like terms: 41 + 225 = 266 225 + -30t + t2 = 266 Factor a perfect square on the left side: (t + -15)(t + -15) = 266 Calculate the square root of the right side: 16.30950643 Break this problem into two subproblems by setting (t + -15) equal to 16.30950643 and -16.30950643.Subproblem 1
t + -15 = 16.30950643 Simplifying t + -15 = 16.30950643 Reorder the terms: -15 + t = 16.30950643 Solving -15 + t = 16.30950643 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + t = 16.30950643 + 15 Combine like terms: -15 + 15 = 0 0 + t = 16.30950643 + 15 t = 16.30950643 + 15 Combine like terms: 16.30950643 + 15 = 31.30950643 t = 31.30950643 Simplifying t = 31.30950643Subproblem 2
t + -15 = -16.30950643 Simplifying t + -15 = -16.30950643 Reorder the terms: -15 + t = -16.30950643 Solving -15 + t = -16.30950643 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + t = -16.30950643 + 15 Combine like terms: -15 + 15 = 0 0 + t = -16.30950643 + 15 t = -16.30950643 + 15 Combine like terms: -16.30950643 + 15 = -1.30950643 t = -1.30950643 Simplifying t = -1.30950643Solution
The solution to the problem is based on the solutions from the subproblems. t = {31.30950643, -1.30950643}Solution
t = {31.30950643, -1.30950643}
| 500/45 | | 18x-1x+7=2x+21 | | -3c=30 | | 4+16+b=13 | | 2[5-(-6x-6)]=36x+46 | | r-17.7=-3.2 | | 18x-x+7=2x+21 | | 14x^3-7x^2+10x-5= | | r-17.7=3.2 | | 2/3r( | | 1(o-10-x)=2(13+4x) | | (4+u)(4u-6)=0 | | 3(4m-8)=6m | | ln(2)+ln(4x-1)=ln(2x+5) | | Y=-.009x^2+.3x+4.5 | | 2.5+z=-9 | | 25=(c-25)2/3 | | -5a+10+7a=9a-2a | | 4-2/5x=-2x/-5-5 | | cosx/sin2x=0 | | 6b^3-16b^2-9b+24= | | 62500/25=x | | 6e^2-3x=24 | | 62500/x=2500 | | 17*x=100 | | sin^2*2x-cos^2*2x=1 | | -1=-17+(2p) | | x-6(x+6)=-12 | | sin^22x-cos^2x=1 | | x+(12)=-23 | | X-55=3x-25 | | (3a^2)^1/2*(3^2a)^3/2 |