10x^2=16x

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Solution for 10x^2=16x equation:


Simplifying
10x2 = 16x

Solving
10x2 = 16x

Solving for variable 'x'.

Reorder the terms:
-16x + 10x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
-16x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-8 + 5x) = 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 '(-8 + 5x)' equal to zero and attempt to solve: Simplifying -8 + 5x = 0 Solving -8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 0 + 8 5x = 0 + 8 Combine like terms: 0 + 8 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6

Solution

x = {0, 1.6}

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