(8)x(-2)x(-5)=x

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Solution for (8)x(-2)x(-5)=x equation:


Simplifying
(8) * x(-2) * x(-5) = x

Reorder the terms for easier multiplication:
8 * -2 * -5x * x = x

Multiply 8 * -2
-16 * -5x * x = x

Multiply -16 * -5
80x * x = x

Multiply x * x
80x2 = x

Solving
80x2 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 80x2 = x + -1x

Combine like terms: x + -1x = 0
-1x + 80x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 80x) = 0

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 '(-1 + 80x)' equal to zero and attempt to solve: Simplifying -1 + 80x = 0 Solving -1 + 80x = 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 + 80x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 80x = 0 + 1 80x = 0 + 1 Combine like terms: 0 + 1 = 1 80x = 1 Divide each side by '80'. x = 0.0125 Simplifying x = 0.0125

Solution

x = {0, 0.0125}

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