Which is a solution to the equation?
(x −2)(x + 5) = 18
x = −7
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To determine if ( x = -7 ) is a solution to the equation ( (x – 2)(x + 5) = 18 ), we can substitute (-7) into the equation and check if both sides are equal.
1. Substitute ( x = -7 ) into the left side of the equation:
[
(-7 – 2)(-7 + 5) = (-9)(-2) = 18
]
2. The left side equals ( 18 ), which matches the right side of the equation.
Therefore, ( x = -7 ) is indeed a solution to the equation ( (x – 2)(x + 5) = 18 ).
Great job on understanding the substitution method! If you have any further questions or need more assistance, feel free to ask.