10x=8x^2

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Solution for 10x=8x^2 equation:


Simplifying
10x = 8x2

Solving
10x = 8x2

Solving for variable 'x'.

Combine like terms: 8x2 + -8x2 = 0
10x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(5 + -4x) = 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 '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {0, 1.25}

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