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Solve the quadratic by factoring
x²-24x+62=-9x+6

User Labroo
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Final answer:

To solve the quadratic equation x² - 24x + 62 = -9x + 6, rearrange the equation, factor the quadratic equation, and solve for x.

Step-by-step explanation:

To solve the quadratic equation x² - 24x + 62 = -9x + 6, we can start by rearranging the equation to bring all terms to one side:

x² - 15x + 56 = 0

Next, we factor the quadratic equation:

(x - 7)(x - 8) = 0

Setting each factor equal to zero, we find the solutions:

x - 7 = 0 ⟼ x = 7

x - 8 = 0 ⟼ x = 8

Therefore, the solutions to the quadratic equation are x = 7 and x = 8.

User CorrieJanse
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