QuestionAugust 24, 2025

Solve vert 4x+8-1vert =15 (2 points) The solutions are x=square and x=square

Solve vert 4x+8-1vert =15 (2 points) The solutions are x=square and x=square
Solve vert 4x+8-1vert =15 (2 points)
The solutions are x=square  and x=square

Solution
4.6(276 votes)

Answer

x = 2 and x = -\frac{11}{2} Explanation 1. Simplify the Absolute Value Equation The equation is \vert 4x + 7 \vert = 15. This implies two cases: 4x + 7 = 15 and 4x + 7 = -15. 2. Solve the First Case For 4x + 7 = 15, subtract 7 from both sides to get 4x = 8. Divide by 4 to find x = 2. 3. Solve the Second Case For 4x + 7 = -15, subtract 7 from both sides to get 4x = -22. Divide by 4 to find x = -\frac{11}{2}.

Explanation

1. Simplify the Absolute Value Equation<br /> The equation is $\vert 4x + 7 \vert = 15$. This implies two cases: $4x + 7 = 15$ and $4x + 7 = -15$.<br /><br />2. Solve the First Case<br /> For $4x + 7 = 15$, subtract 7 from both sides to get $4x = 8$. Divide by 4 to find $x = 2$.<br /><br />3. Solve the Second Case<br /> For $4x + 7 = -15$, subtract 7 from both sides to get $4x = -22$. Divide by 4 to find $x = -\frac{11}{2}$.
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