Answer: x = 14, or 0
Step-by-step explanation:Using the method of completing the square, this expression of 4x² - 56x = 0 , first, we divide the expression by 4 to make us fulfill the laws.
4x²/4 - 56x/4 =0/4
x² - 14x = 0
Step 2; add to both sides of the equation, the square of half of the coefficient of x which is 14
x² - 14x + 7² = 0 + 7²
x² - 7² = 49
(x - 7 )² = 49
Now, to find x, we take the square roots of both sides
√(x - 7 )² = ±√49
x - 7 = ± 7
Therefore,
x = 7 ± 7
x = 7 + 7 or 7 - 7
x = 14 or 0
