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Solve each of the linear equations

a 4(7×-1)=9(8+×)2

1 answer

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: \[ \boxed{14.8} \]