0=2x*1(x-4)

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Solution for 0=2x*1(x-4) equation:


Simplifying
0 = 2x * 1(x + -4)

Reorder the terms:
0 = 2x * 1(-4 + x)

Reorder the terms for easier multiplication:
0 = 2 * 1x(-4 + x)

Multiply 2 * 1
0 = 2x(-4 + x)
0 = (-4 * 2x + x * 2x)
0 = (-8x + 2x2)

Solving
0 = -8x + 2x2

Solving for variable 'x'.
Remove the zero:
8x + -2x2 = -8x + 2x2 + 8x + -2x2

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

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

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {0, 4}

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