Anonymous
Anonymous asked in Science & MathematicsMathematics · 3 weeks ago

# Please, How do I solve this for x? Relevance
• x = ).126(0.10 - 2x)

x = 0.0126 - 0.252x

x + 0.252x = 0.0126

x(1 + 0.252) = 0.0126

x(1.252) = 0.0126

x = 0.0126/1.252

x = 0.010063897....

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• Multiply both sides by the denominator:

0.126(0.10 - 2x) = x

Distribute:

0.0126 - 0.252x = x

0.0126 = x + 0.252x

0.0126 = 1.252x

Divide both sides by 1.252

x = 0.0126/1.252

x = 126/12520

x = 63/6260

Or:

x ≈ 0.01006389776

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• 0.126 = x/(0.10 - 2x)

0.126 (0.10 - 2x) = x

0.0126 - 0.252x = x

1.252 x = 0.0126

12520 x = 126

x = 0.01006389776

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• You have:

0.126 = x / (0.1 - 2x)

The first thing to determine is which value of "x" cannot be if it results in you dividing by zero.  So let's do that first:

0.1 - 2x = 0

0.1 = 2x

0.05 = x

Now that we have this, the first thing we need to do is multiply both sides by the denominator:

0.126 = x / (0.1 - 2x)

0.126(0.1 - 2x) = x

Distribute on the left side:

0.0126 - 0.252x = x

0.0126 = 1.252x

Divide both sides by 1.252:

0.0126 / 1.252 = x

To simplify, start by multiplying both halves by 10,000 to get rid of the decimal point:

x = 126 / 12520

and reduce:

x = 63/6260

That's the exact answer, which is approx:

0.01006 when rounding to 5 DP.

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