Question

Solve each of the linear equations
a 4(7×-1)=9(8+×)2

Answer 1

To solve the equation \( 4(7x - 1) = 9(8 + x)2 \), we can start by simplifying both sides.

1. **Expand both sides:**

Left side:
\[
4(7x - 1) = 28x - 4
\]

Right side:
\[
9(8 + x)2 = 18(8 + x) = 144 + 18x
\]

2. **Set the equation:**
\[
28x - 4 = 144 + 18x
\]

3. **Isolate \( x \):**
- First, let's move \( 18x \) to the left side and \( -4 \) to the right side.
\[
28x - 18x = 144 + 4
\]
\[
10x = 148
\]

4. **Solve for \( x \):**
\[
x = \frac{148}{10} = 14.8
\]

Thus, the solution to the equation is:
\[
\boxed{14.8}
\]