Solve the quadratic by factoring.x, squared, minus, 6, x, equals, minus, 10, x, plus, 12x 2 −6x=−10x+12
Question
Solve the quadratic by factoring.x, squared, minus, 6, x, equals, minus, 10, x, plus, 12x 2 −6x=−10x+12
Solution
First, let's simplify the equation by combining like terms:
x^2 - 6x = -10x + 12
This simplifies to:
x^2 + 4x - 12 = 0
Next, we factor the quadratic equation:
(x + 6)(x - 2) = 0
Finally, we solve for x by setting each factor equal to zero:
x + 6 = 0 => x = -6
x - 2 = 0 => x = 2
So, the solutions to the equation are x = -6 and x = 2.
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