Help with quadratics

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Find all values of x such that x^2 - 5x + 4 = -x^2 - 25x - 14. If you find more than one value, then list your solutions, separated by commas.

kittykat Jan 7, 2025

Owinner · Answer 1 · 2025-01-07T11:08:01

Taking everything to the left side, we get

$2x^2+20x+18=0$ . To simplify the equation more, we can divide both sides by

$2$ and get

$x^2+10x+9=0$ Then, we can factor the quadratic and get

$(x+9)(x+1)=0$ , so the solutions to the equation are

$x=9,-1$