3t^2-21t-2=52

Simple and best practice solution for 3t^2-21t-2=52 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 3t^2-21t-2=52 equation:


Simplifying
3t2 + -21t + -2 = 52

Reorder the terms:
-2 + -21t + 3t2 = 52

Solving
-2 + -21t + 3t2 = 52

Solving for variable 't'.

Reorder the terms:
-2 + -52 + -21t + 3t2 = 52 + -52

Combine like terms: -2 + -52 = -54
-54 + -21t + 3t2 = 52 + -52

Combine like terms: 52 + -52 = 0
-54 + -21t + 3t2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-18 + -7t + t2) = 0

Factor a trinomial.
3((-2 + -1t)(9 + -1t)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2

Subproblem 2

Set the factor '(9 + -1t)' equal to zero and attempt to solve: Simplifying 9 + -1t = 0 Solving 9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1t = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1t = 0 + -9 -1t = 0 + -9 Combine like terms: 0 + -9 = -9 -1t = -9 Divide each side by '-1'. t = 9 Simplifying t = 9

Solution

t = {-2, 9}

See similar equations:

| 2x^2+6x-144=0 | | Y=3/2x-22 | | -48=-16a | | 7n-25=26 | | 5=50-15x | | 2x+5y=220 | | -6x-15=4x | | -(8^2/2)-4-2^3 | | -47+w=-10 | | -4x=-12x | | 13(x+3)=65 | | 2x+3y+6z=6 | | 4-x=x/3 | | 10/r-5=8/11 | | 2(2I+5)+4I=70 | | 27=-.5(8x-6) | | -4=m/-3 | | 8t^4/2t^5/(2t)^4/-6 | | -2x+14=-14 | | 160+0.25x=310 | | 6x-7+6x+6= | | z-9/14=3/14 | | c^2+3c=3c+4 | | b^2+19b=42+18b | | 2x^-1/3(x^5/3-4x^1/3) | | 14-4y=1y | | 1-8a=-1-7a-7+1 | | 70x+85x=155 | | 240+30x=350 | | 5x-6=4(x-2) | | ln(2x+3)=11 | | 7(x-3)+4=-10 |

Equations solver categories