The equation to solve for the width of the rectangular frame is:
(2x + 10)(2x + 6) = 140
Expanding and simplifying:
4x² + 32x + 60 = 140
4x² + 32x - 80 = 0
Therefore, the answer is:
4x² + 32x - 80 = 0
The length of a rectangular frame is represented by the expression 2x + 10, and the width of the rectangular frame is represented by the expression 2x + 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches.
4x2 + 32x − 80 = 0
4x2 + 32x + 60 = 0
2x2 + 32x − 80 = 0
x2 + 16x + 60 = 0
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