(10x+8)(6x-2)=

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Solution for (10x+8)(6x-2)= equation: 


Simplifying
(10x + 8)(6x + -2) = 0

Reorder the terms:
(8 + 10x)(6x + -2) = 0

Reorder the terms:
(8 + 10x)(-2 + 6x) = 0

Multiply (8 + 10x) * (-2 + 6x)
(8(-2 + 6x) + 10x * (-2 + 6x)) = 0
((-2 * 8 + 6x * 8) + 10x * (-2 + 6x)) = 0
((-16 + 48x) + 10x * (-2 + 6x)) = 0
(-16 + 48x + (-2 * 10x + 6x * 10x)) = 0
(-16 + 48x + (-20x + 60x2)) = 0

Combine like terms: 48x + -20x = 28x
(-16 + 28x + 60x2) = 0

Solving
-16 + 28x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-4 + 7x + 15x2) = 0

Factor a trinomial.
4((-4 + -5x)(1 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve:

Simplifying
-4 + -5x = 0

Solving
-4 + -5x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 0 + 4
-5x = 0 + 4

Combine like terms: 0 + 4 = 4
-5x = 4

Divide each side by '-5'.
x = -0.8

Simplifying
x = -0.8

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-0.8, 0.3333333333}

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