-8t^2+48t-30=0

Simple and best practice solution for -8t^2+48t-30=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -8t^2+48t-30=0 equation:


Simplifying
-8t2 + 48t + -30 = 0

Reorder the terms:
-30 + 48t + -8t2 = 0

Solving
-30 + 48t + -8t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 24t + -4t2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-15 + 24t + -4t2)' equal to zero and attempt to solve: Simplifying -15 + 24t + -4t2 = 0 Solving -15 + 24t + -4t2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 3.75 + -6t + t2 = 0 Move the constant term to the right: Add '-3.75' to each side of the equation. 3.75 + -6t + -3.75 + t2 = 0 + -3.75 Reorder the terms: 3.75 + -3.75 + -6t + t2 = 0 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + -6t + t2 = 0 + -3.75 -6t + t2 = 0 + -3.75 Combine like terms: 0 + -3.75 = -3.75 -6t + t2 = -3.75 The t term is -6t. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6t + 9 + t2 = -3.75 + 9 Reorder the terms: 9 + -6t + t2 = -3.75 + 9 Combine like terms: -3.75 + 9 = 5.25 9 + -6t + t2 = 5.25 Factor a perfect square on the left side: (t + -3)(t + -3) = 5.25 Calculate the square root of the right side: 2.291287847 Break this problem into two subproblems by setting (t + -3) equal to 2.291287847 and -2.291287847.

Subproblem 1

t + -3 = 2.291287847 Simplifying t + -3 = 2.291287847 Reorder the terms: -3 + t = 2.291287847 Solving -3 + t = 2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = 2.291287847 + 3 Combine like terms: -3 + 3 = 0 0 + t = 2.291287847 + 3 t = 2.291287847 + 3 Combine like terms: 2.291287847 + 3 = 5.291287847 t = 5.291287847 Simplifying t = 5.291287847

Subproblem 2

t + -3 = -2.291287847 Simplifying t + -3 = -2.291287847 Reorder the terms: -3 + t = -2.291287847 Solving -3 + t = -2.291287847 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + t = -2.291287847 + 3 Combine like terms: -3 + 3 = 0 0 + t = -2.291287847 + 3 t = -2.291287847 + 3 Combine like terms: -2.291287847 + 3 = 0.708712153 t = 0.708712153 Simplifying t = 0.708712153

Solution

The solution to the problem is based on the solutions from the subproblems. t = {5.291287847, 0.708712153}

Solution

t = {5.291287847, 0.708712153}

See similar equations:

| 1=2b-1 | | 5x+206x+30=3 | | 19-7-9(2b+3)=-6 | | 6(1)-y=9 | | -100=0.25x | | 0=t^2+6t-9 | | 4c+5=4c+3 | | 10=lx-3l | | x^2-6x-11=-8 | | 18=3p+6 | | k-10=7 | | 0.35(16-x)+x=0.40(16) | | x+2x+(x+8)= | | -16t^2+20t+240=0 | | 7xa-11=31 | | 2x+y+3z=6 | | 3.7+t=9.45 | | 6x+15y=4 | | kx-x=k^2-1 | | m+13.9=-5.3 | | 8=3.14 | | 3x+2x-5=13-2(x+2) | | 0.35(17-x)+x=0.40(17) | | 5+2x+6=17 | | b=95+(15+8)w | | 14-2(3x+6)=3x-(2x-16) | | -4n-18=16 | | 44.91=9g+3.69 | | .15(10-x)+x=0.40(10) | | 45=d^2 | | 4t^2-5t-60=0 | | -35=-22-w |

Equations solver categories