/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 82 If \(\frac{3 x}{2}+\frac{3 x}{4}... [FREE SOLUTION] | 91影视

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Chapter 2: Problem 82

If \(\frac{3 x}{2}+\frac{3 x}{4}=\frac{x}{4}-4,\) evaluate \(x^{2}-x\)

Short Answer

Expert verified
The evaluated result of the expression \(x^{2}-x\) is 20

Step by step solution

01

Simplify the left hand side of the equation

Combine like terms on the left side of the equation. This results in \(\frac{5x}{4} = \frac{x}{4} - 4\)
02

Move \(\frac{x}{4}\) from the right to the left side of the equation

Subtract \(\frac{x}{4}\) from both sides. This results to \(\frac{4x}{4} = -4 \) or \(x=-4\)
03

Substitute the value of \(x\) in \(x^{2}-x\)

Substitute \(x=-4\) in the expression \(x^{2}-x\) to solve for its value. This results to \((-4)^{2}-(-4) = 16+4 = 20\)

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