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Solve for all values of
x in simplest form.

4-5|4x+3|=-26
Answer:
x=

Solve for all values of $x$ in simplest form. $\newline$ $4-5|4 x+3|=-26$ $\newline$ Answer: $x=$

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Solve absolute value equations

Full solution

Q. Solve for all values of

x

in simplest form.

\newline

4-5|4 x+3|=-26

\newline

Answer:

x=

Isolate absolute value: Isolate the absolute value expression. $\newline$ Add $5|4x + 3|$ to both sides to isolate the absolute value on one side. $\newline$ $4 - 5|4x + 3| + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ $4 + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ $4 + 5|4x + 3| = -26 + 5|4x + 3|$ $\newline$ Subtract $4$ from both sides. $\newline$ $4 - 4 + 5|4x + 3| = -26 - 4$ $\newline$ $5|4x + 3| = -30$
Add to both sides: Divide both sides by $5$ to solve for the absolute value. $\newline$ $\frac{5|4x + 3|}{5} = \frac{-30}{5}$ $\newline$ $|4x + 3| = -6$ $\newline$ Notice that the absolute value of a number cannot be negative, which means there is no solution to this equation.

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\newline

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\newline

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n=-\sqrt{3}

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Question

\$200

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\newline

1

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