Question

Is x = 4 a solution of -2x(-4x^2-8)-4x = 524?

a) True
b) False

Answer 1

To determine if x = 4 is a solution of the equation -2x(-4x^2-8)-4x = 524, we substitute x = 4 into the equation and check if both sides are equal.

Step-by-step explanation:

To determine if x = 4 is a solution of the equation -2x(-4x^2-8)-4x = 524, we substitute x = 4 into the equation and check if both sides are equal.

Substituting x = 4, we get:

• -2(4)(-4(4)^2-8)-4(4) = 524
• -2(4)(-4(16)-8)-4(4) = 524
• -2(4)(-64-8)-4(4) = 524
• -2(4)(-72)-4(4) = 524
• -2(4)(-72)-16 = 524
• -8(-72)-16 = 524
• 576-16 = 524
• 560 = 524

Since 560 is not equal to 524, x = 4 is not a solution of the equation. Therefore, the correct answer is b) False.