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Simplifying (x + 2)(x + -9) = x2 + -7x + 18 Reorder the terms: (2 + x)(x + -9) = x2 + -7x + 18 Reorder the terms: (2 + x)(-9 + x) = x2 + -7x + 18 Multiply (2 + x) * (-9 + x) (2(-9 + x) + x(-9 + x)) = x2 + -7x + 18 ((-9 * 2 + x * 2) + x(-9 + x)) = x2 + -7x + 18 ((-18 + 2x) + x(-9 + x)) = x2 + -7x + 18 (-18 + 2x + (-9 * x + x * x)) = x2 + -7x + 18 (-18 + 2x + (-9x + x2)) = x2 + -7x + 18 Combine like terms: 2x + -9x = -7x (-18 + -7x + x2) = x2 + -7x + 18 Reorder the terms: -18 + -7x + x2 = 18 + -7x + x2 Add '7x' to each side of the equation. -18 + -7x + 7x + x2 = 18 + -7x + 7x + x2 Combine like terms: -7x + 7x = 0 -18 + 0 + x2 = 18 + -7x + 7x + x2 -18 + x2 = 18 + -7x + 7x + x2 Combine like terms: -7x + 7x = 0 -18 + x2 = 18 + 0 + x2 -18 + x2 = 18 + x2 Add '-1x2' to each side of the equation. -18 + x2 + -1x2 = 18 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + 0 = 18 + x2 + -1x2 -18 = 18 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 = 18 + 0 -18 = 18 Solving -18 = 18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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