(8x-2)(3x+2x-1)=

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Solution for (8x-2)(3x+2x-1)= equation: 


Simplifying
(8x + -2)(3x + 2x + -1) = 0

Reorder the terms:
(-2 + 8x)(3x + 2x + -1) = 0

Reorder the terms:
(-2 + 8x)(-1 + 3x + 2x) = 0

Combine like terms: 3x + 2x = 5x
(-2 + 8x)(-1 + 5x) = 0

Multiply (-2 + 8x) * (-1 + 5x)
(-2(-1 + 5x) + 8x * (-1 + 5x)) = 0
((-1 * -2 + 5x * -2) + 8x * (-1 + 5x)) = 0
((2 + -10x) + 8x * (-1 + 5x)) = 0
(2 + -10x + (-1 * 8x + 5x * 8x)) = 0
(2 + -10x + (-8x + 40x2)) = 0

Combine like terms: -10x + -8x = -18x
(2 + -18x + 40x2) = 0

Solving
2 + -18x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -9x + 20x2) = 0

Factor a trinomial.
2((1 + -5x)(1 + -4x)) = 0

Ignore the factor 2.

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

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

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

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

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25
Solution
x = {0.2, 0.25}

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