10x^2=2x(h)

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Solution for 10x^2=2x(h) equation:


Simplifying
10x2 = 2x(h)

Multiply x * h
10x2 = 2hx

Solving
10x2 = 2hx

Solving for variable 'x'.

Reorder the terms:
-2hx + 10x2 = 2hx + -2hx

Combine like terms: 2hx + -2hx = 0
-2hx + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-1h + 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 '(-1h + 5x)' equal to zero and attempt to solve: Simplifying -1h + 5x = 0 Solving -1h + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add 'h' to each side of the equation. -1h + h + 5x = 0 + h Combine like terms: -1h + h = 0 0 + 5x = 0 + h 5x = 0 + h Remove the zero: 5x = h Divide each side by '5'. x = 0.2h Simplifying x = 0.2h

Solution

x = {0, 0.2h}

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