Question 548842
2*(x-8)^2 +x^2 = x*(x-51) - 43*x
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Use FOIL to expand the second term.
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2*(x^2-16x+64) +x^2 = x*(x-51) - 43*x
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Use the distributive property to eliminate the parentheses.
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2x^2 -32x + 128 +x^2 = x^2 -51x - 43x
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Collect terms
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3x^2 -32x + 128 = x^2 -94x
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Subtract x^2 from both sides
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2x^2 -32x + 128 = -94x
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Add 94x to both sides
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2x^2 +62x + 128 = 0
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Divide both sides by 2
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x^2 +31x + 64 = 0
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*[invoke quadratic "x", 1, 31, 64 ]