The solution to the quadratic equation 6x² + 6 = 12x is x = 1
How to determine the solutions?
The quadratic equation is given as:
6x² + 6 = 12x
Equate the equation to 0
6x² - 12x + 6 = 0
Expand the equation
6x² - 6x - 6x + 6 = 0
Factorize the expression
6x(x - 1) - 6(x - 1) = 0
Factor out x - 1
(6x - 6)(x - 1) = 0
Split
6x - 6 = 0 or x - 1 = 0
Solve for x in both instance
x = 1 or x = 1
Hence, the solution to the quadratic equation 6x² + 6 = 12x is x = 1
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