t(t-6)=-10

Simple and best practice solution for t(t-6)=-10 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 t(t-6)=-10 equation:


Simplifying
t(t + -6) = -10

Reorder the terms:
t(-6 + t) = -10
(-6 * t + t * t) = -10
(-6t + t2) = -10

Solving
-6t + t2 = -10

Solving for variable 't'.

Reorder the terms:
10 + -6t + t2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -6t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + -6t + -10 + t2 = 0 + -10

Reorder the terms:
10 + -10 + -6t + t2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -6t + t2 = 0 + -10
-6t + t2 = 0 + -10

Combine like terms: 0 + -10 = -10
-6t + t2 = -10

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 = -10 + 9

Reorder the terms:
9 + -6t + t2 = -10 + 9

Combine like terms: -10 + 9 = -1
9 + -6t + t2 = -1

Factor a perfect square on the left side:
(t + -3)(t + -3) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 7m^2+2m=10 | | (3x+2)=(6x-188) | | 8a-9=49 | | 2x^3-20x^2-78x=0 | | -4=7x-6x | | 3-7x=3x+3 | | 12-(x+8)=8x-5 | | -36n+33=-6(1+6n) | | 5m+34=-2+14m | | 6x-4=-6x-18 | | 384=-8(8m-8) | | 4y+12=0 | | -6p+8p=4 | | 5x-2=-3+16 | | -6a+a=-5 | | -40=2x+18 | | -9x^3-87x^2-138x=0 | | 5X-4=-3+3X | | 5x/4=7/3 | | X+9/6=19/15-x-3/5 | | -3(6p+5)-2(2-17p)=3(3+5p) | | -200.00+25.00x=50.00 | | 9X-4X=-3 | | 8x+7=8x-7 | | -200.00+25.00x=0 | | -6=3n+4-4 | | (7x-27)=(4x+12) | | -8(5+x)=4x+12(-7-x) | | -15-6x=6x+9 | | 4x+9=3-1x+2 | | 11x+4=7x+24 | | 6x^2-4=36x-4 |

Equations solver categories