432=-16(t+4)(t-8)

Simple and best practice solution for 432=-16(t+4)(t-8) 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 432=-16(t+4)(t-8) equation: 


Simplifying
432 = -16(t + 4)(t + -8)

Reorder the terms:
432 = -16(4 + t)(t + -8)

Reorder the terms:
432 = -16(4 + t)(-8 + t)

Multiply (4 + t) * (-8 + t)
432 = -16(4(-8 + t) + t(-8 + t))
432 = -16((-8 * 4 + t * 4) + t(-8 + t))
432 = -16((-32 + 4t) + t(-8 + t))
432 = -16(-32 + 4t + (-8 * t + t * t))
432 = -16(-32 + 4t + (-8t + t2))

Combine like terms: 4t + -8t = -4t
432 = -16(-32 + -4t + t2)
432 = (-32 * -16 + -4t * -16 + t2 * -16)
432 = (512 + 64t + -16t2)

Solving
432 = 512 + 64t + -16t2

Solving for variable 't'.

Combine like terms: 432 + -512 = -80
-80 + -64t + 16t2 = 512 + 64t + -16t2 + -512 + -64t + 16t2

Reorder the terms:
-80 + -64t + 16t2 = 512 + -512 + 64t + -64t + -16t2 + 16t2

Combine like terms: 512 + -512 = 0
-80 + -64t + 16t2 = 0 + 64t + -64t + -16t2 + 16t2
-80 + -64t + 16t2 = 64t + -64t + -16t2 + 16t2

Combine like terms: 64t + -64t = 0
-80 + -64t + 16t2 = 0 + -16t2 + 16t2
-80 + -64t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-80 + -64t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-5 + -4t + t2) = 0

Factor a trinomial.
16((-1 + -1t)(5 + -1t)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-1 + -1t)' equal to zero and attempt to solve:

Simplifying
-1 + -1t = 0

Solving
-1 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + -1t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1t = 0 + 1
-1t = 0 + 1

Combine like terms: 0 + 1 = 1
-1t = 1

Divide each side by '-1'.
t = -1

Simplifying
t = -1

Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {-1, 5}

See similar equations:

| (X+3)=(1.5x+2) | | X^3-8x^2+31x-30=0 | | ln(2x)=1.4 | | 12-x=4x-1 | | 60w=398 | | (6x^2+9)(7x+2x-9)=0 | | 1-3/14 | | 6x-4+3=11 | | (2x+1)=(x+7) | | -12-x=4x-1 | | (2h-8)/2 | | (X)(0.042)=9.86 | | (3y-8)=(y+5) | | h(2)=x^4+7x^2-8 | | x^4-8x^3+22x^2-26x+8=0 | | .4x+3=8 | | -x+2(2)= | | -2/3(9-12n)-2/5(20n-15) | | 1/6-4/1= | | 3x+3(-7x-7)=-183 | | .8x-1=7 | | 39x4/9 | | 8x+11-3b=2b+2 | | 4x=y^2-2y | | 4(r-9)+4=5(r+3)-26 | | x^4-8x^3-2x^2-26x+8=0 | | x^2+22x=-104 | | 5+7-11*2+18= | | Y=-3x*1+4 | | n^2-18n+31=0 | | x^4-8x^3-2x^2-26x=0 | | -.222b+7=11 |

Equations solver categories