(x+ut)(9x-8ut)=0

Simple and best practice solution for (x+ut)(9x-8ut)=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 (x+ut)(9x-8ut)=0 equation: 


Simplifying
(x + ut)(9x + -8ut) = 0

Reorder the terms:
(tu + x)(9x + -8ut) = 0

Reorder the terms:
(tu + x)(-8tu + 9x) = 0

Multiply (tu + x) * (-8tu + 9x)
(tu(-8tu + 9x) + x(-8tu + 9x)) = 0
((-8tu * tu + 9x * tu) + x(-8tu + 9x)) = 0

Reorder the terms:
((9tux + -8t2u2) + x(-8tu + 9x)) = 0
((9tux + -8t2u2) + x(-8tu + 9x)) = 0
(9tux + -8t2u2 + (-8tu * x + 9x * x)) = 0
(9tux + -8t2u2 + (-8tux + 9x2)) = 0

Reorder the terms:
(9tux + -8tux + -8t2u2 + 9x2) = 0

Combine like terms: 9tux + -8tux = 1tux
(1tux + -8t2u2 + 9x2) = 0

Solving
1tux + -8t2u2 + 9x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-1tu + -1x)(8tu + -9x) = 0


Subproblem 1
Set the factor '(-1tu + -1x)' equal to zero and attempt to solve:

Simplifying
-1tu + -1x = 0

Solving
-1tu + -1x = 0

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

Add 'x' to each side of the equation.
-1tu + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-1tu + 0 = 0 + x
-1tu = 0 + x
Remove the zero:
-1tu = x

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

Simplifying
t = -1u-1x

Subproblem 2
Set the factor '(8tu + -9x)' equal to zero and attempt to solve:

Simplifying
8tu + -9x = 0

Solving
8tu + -9x = 0

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

Add '9x' to each side of the equation.
8tu + -9x + 9x = 0 + 9x

Combine like terms: -9x + 9x = 0
8tu + 0 = 0 + 9x
8tu = 0 + 9x
Remove the zero:
8tu = 9x

Divide each side by '8u'.
t = 1.125u-1x

Simplifying
t = 1.125u-1x
Solution
t = {-1u-1x, 1.125u-1x}

See similar equations:

| 3x+8=5x-2x+8 | | (4+3)(3+6x)=30-3.5(x+2) | | 4(e+4)=2(17-2c) | | 4(14x-26)=2-2(x+3) | | 3x=16+5y | | -2x-8=4x+2 | | 4(2a+3)=-3(a-1)+32 | | 2x-20+x+20=x+80 | | 4(2)+10/2-4=x | | 9*x-24(3*x)-81=0 | | 16(x+2)=48 | | 11x+9-3x=-8x-20+x | | 4x-2=-6u+28 | | P=12units | | 3x+2x=12+x+x | | x+0.23x=49 | | 3.14/12 | | 7k+3.7=k+9 | | f(0)=-3(0)-9 | | 3/10x=1/2y | | 3f+9=2f | | 0.75(x+-2)=12 | | Xy+5xy+xy+5xy=0 | | 5x+4.4=19 | | 1200+100(7)=3230-190(7) | | cos(3.14/12) | | (9v-4)(8v+1)=0 | | 39.26+3.9k=70.46-6.1k | | 2+2=b | | 4z/9-9=0 | | 6+3ln(x)=4 | | -11=7+-x |

Equations solver categories