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Simplifying (x + -5)(x + -3) = x2 + -185 Reorder the terms: (-5 + x)(x + -3) = x2 + -185 Reorder the terms: (-5 + x)(-3 + x) = x2 + -185 Multiply (-5 + x) * (-3 + x) (-5(-3 + x) + x(-3 + x)) = x2 + -185 ((-3 * -5 + x * -5) + x(-3 + x)) = x2 + -185 ((15 + -5x) + x(-3 + x)) = x2 + -185 (15 + -5x + (-3 * x + x * x)) = x2 + -185 (15 + -5x + (-3x + x2)) = x2 + -185 Combine like terms: -5x + -3x = -8x (15 + -8x + x2) = x2 + -185 Reorder the terms: 15 + -8x + x2 = -185 + x2 Add '-1x2' to each side of the equation. 15 + -8x + x2 + -1x2 = -185 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x + 0 = -185 + x2 + -1x2 15 + -8x = -185 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + -8x = -185 + 0 15 + -8x = -185 Solving 15 + -8x = -185 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -8x = -185 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -185 + -15 -8x = -185 + -15 Combine like terms: -185 + -15 = -200 -8x = -200 Divide each side by '-8'. x = 25 Simplifying x = 25
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