What is the value of the expression below 10x 2 −3x−6 when x, equals, 3x=3?

1 answer

To find the value of the expression \( 10x^2 - 3x - 6 \) when \( x = 3 \), we will substitute 3 for \( x \) in the expression.

  1. Substitute \( x = 3 \): \[ 10(3)^2 - 3(3) - 6 \]

  2. Calculate \( 10(3)^2 \): \[ 10 \times 9 = 90 \]

  3. Calculate \( -3(3) \): \[ -9 \]

  4. Now substitute these values back into the expression: \[ 90 - 9 - 6 \]

  5. Perform the subtraction: \[ 90 - 9 = 81 \] \[ 81 - 6 = 75 \]

Thus, the value of the expression \( 10x^2 - 3x - 6 \) when \( x = 3 \) is \( \boxed{75} \).