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Simplifying (x + 3)(x + -1) = x2 + -7 Reorder the terms: (3 + x)(x + -1) = x2 + -7 Reorder the terms: (3 + x)(-1 + x) = x2 + -7 Multiply (3 + x) * (-1 + x) (3(-1 + x) + x(-1 + x)) = x2 + -7 ((-1 * 3 + x * 3) + x(-1 + x)) = x2 + -7 ((-3 + 3x) + x(-1 + x)) = x2 + -7 (-3 + 3x + (-1 * x + x * x)) = x2 + -7 (-3 + 3x + (-1x + x2)) = x2 + -7 Combine like terms: 3x + -1x = 2x (-3 + 2x + x2) = x2 + -7 Reorder the terms: -3 + 2x + x2 = -7 + x2 Add '-1x2' to each side of the equation. -3 + 2x + x2 + -1x2 = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x + 0 = -7 + x2 + -1x2 -3 + 2x = -7 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x = -7 + 0 -3 + 2x = -7 Solving -3 + 2x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -7 + 3 2x = -7 + 3 Combine like terms: -7 + 3 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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