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The value for x in the equation, 6x2 - 5x - 46 = 5x2 - 10 may be found, beginning with collecting all the terms on the right side onto the left side (after changing their signs) to result in (6 - 5)x2 - 5x -[46 - (-10)] = 0 or x2 - 5x - 36 = 0. The left side of this equation can be factored to result in (x - 9)(x + 4) = 0, which is true when either of the two parenthetical expression is 0, which in turn is true when x = 9 or -4.
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