2x(7x-5)=-2x(4x+1)

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Solution for 2x(7x-5)=-2x(4x+1) equation: 


Simplifying
2x(7x + -5) = -2x(4x + 1)

Reorder the terms:
2x(-5 + 7x) = -2x(4x + 1)
(-5 * 2x + 7x * 2x) = -2x(4x + 1)
(-10x + 14x2) = -2x(4x + 1)

Reorder the terms:
-10x + 14x2 = -2x(1 + 4x)
-10x + 14x2 = (1 * -2x + 4x * -2x)
-10x + 14x2 = (-2x + -8x2)

Solving
-10x + 14x2 = -2x + -8x2

Solving for variable 'x'.

Reorder the terms:
-10x + 2x + 14x2 + 8x2 = -2x + -8x2 + 2x + 8x2

Combine like terms: -10x + 2x = -8x
-8x + 14x2 + 8x2 = -2x + -8x2 + 2x + 8x2

Combine like terms: 14x2 + 8x2 = 22x2
-8x + 22x2 = -2x + -8x2 + 2x + 8x2

Reorder the terms:
-8x + 22x2 = -2x + 2x + -8x2 + 8x2

Combine like terms: -2x + 2x = 0
-8x + 22x2 = 0 + -8x2 + 8x2
-8x + 22x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
-8x + 22x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4 + 11x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-4 + 11x)' equal to zero and attempt to solve:

Simplifying
-4 + 11x = 0

Solving
-4 + 11x = 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 + 11x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 0 + 4
11x = 0 + 4

Combine like terms: 0 + 4 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636
Solution
x = {0, 0.3636363636}

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