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The sum of the square of a number and 12 times the number is -27. What is the smaller probable value of this number?
Let x = the number. The statement that is "The sum of the square of a number and 12 times the number is -27," translates to the equation x2 + 12x = -27. Put the equation in standard creates and set it equal to zero: x2 + 12x + 27 = 0. Factor the left side of the equation: (x + 3)(x + 9) = 0. Set every factor equal to zero and solve: x + 3 = 0 or x + 9 = 0; x = -3 or x = -9. The possible values of this number are -3 or -9, the smaller of that is -9.
Since we are going to be working almost exclusively along with systems of equations wherein the number of unknowns equals the number of equations we will confine our review to thes
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