(6x-5t)(7x+5t)=

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Solution for (6x-5t)(7x+5t)= equation: 


Simplifying
(6x + -5t)(7x + 5t) = 0

Reorder the terms:
(-5t + 6x)(7x + 5t) = 0

Reorder the terms:
(-5t + 6x)(5t + 7x) = 0

Multiply (-5t + 6x) * (5t + 7x)
(-5t * (5t + 7x) + 6x * (5t + 7x)) = 0
((5t * -5t + 7x * -5t) + 6x * (5t + 7x)) = 0

Reorder the terms:
((-35tx + -25t2) + 6x * (5t + 7x)) = 0
((-35tx + -25t2) + 6x * (5t + 7x)) = 0
(-35tx + -25t2 + (5t * 6x + 7x * 6x)) = 0
(-35tx + -25t2 + (30tx + 42x2)) = 0

Reorder the terms:
(-35tx + 30tx + -25t2 + 42x2) = 0

Combine like terms: -35tx + 30tx = -5tx
(-5tx + -25t2 + 42x2) = 0

Solving
-5tx + -25t2 + 42x2 = 0

Solving for variable 't'.

Factor a trinomial.
(-5t + -7x)(5t + -6x) = 0


Subproblem 1
Set the factor '(-5t + -7x)' equal to zero and attempt to solve:

Simplifying
-5t + -7x = 0

Solving
-5t + -7x = 0

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

Add '7x' to each side of the equation.
-5t + -7x + 7x = 0 + 7x

Combine like terms: -7x + 7x = 0
-5t + 0 = 0 + 7x
-5t = 0 + 7x
Remove the zero:
-5t = 7x

Divide each side by '-5'.
t = -1.4x

Simplifying
t = -1.4x

Subproblem 2
Set the factor '(5t + -6x)' equal to zero and attempt to solve:

Simplifying
5t + -6x = 0

Solving
5t + -6x = 0

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

Add '6x' to each side of the equation.
5t + -6x + 6x = 0 + 6x

Combine like terms: -6x + 6x = 0
5t + 0 = 0 + 6x
5t = 0 + 6x
Remove the zero:
5t = 6x

Divide each side by '5'.
t = 1.2x

Simplifying
t = 1.2x
Solution
t = {-1.4x, 1.2x}

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