(5x-6)(5x+8)=0

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Solution for (5x-6)(5x+8)=0 equation: 


Simplifying
(5x + -6)(5x + 8) = 0

Reorder the terms:
(-6 + 5x)(5x + 8) = 0

Reorder the terms:
(-6 + 5x)(8 + 5x) = 0

Multiply (-6 + 5x) * (8 + 5x)
(-6(8 + 5x) + 5x * (8 + 5x)) = 0
((8 * -6 + 5x * -6) + 5x * (8 + 5x)) = 0
((-48 + -30x) + 5x * (8 + 5x)) = 0
(-48 + -30x + (8 * 5x + 5x * 5x)) = 0
(-48 + -30x + (40x + 25x2)) = 0

Combine like terms: -30x + 40x = 10x
(-48 + 10x + 25x2) = 0

Solving
-48 + 10x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(6 + -5x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-1.6, 1.2}

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