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Simplifying (x + -5)(x + 7) = x(x + 3) Reorder the terms: (-5 + x)(x + 7) = x(x + 3) Reorder the terms: (-5 + x)(7 + x) = x(x + 3) Multiply (-5 + x) * (7 + x) (-5(7 + x) + x(7 + x)) = x(x + 3) ((7 * -5 + x * -5) + x(7 + x)) = x(x + 3) ((-35 + -5x) + x(7 + x)) = x(x + 3) (-35 + -5x + (7 * x + x * x)) = x(x + 3) (-35 + -5x + (7x + x2)) = x(x + 3) Combine like terms: -5x + 7x = 2x (-35 + 2x + x2) = x(x + 3) Reorder the terms: -35 + 2x + x2 = x(3 + x) -35 + 2x + x2 = (3 * x + x * x) -35 + 2x + x2 = (3x + x2) Add '-1x2' to each side of the equation. -35 + 2x + x2 + -1x2 = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -35 + 2x + 0 = 3x + x2 + -1x2 -35 + 2x = 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -35 + 2x = 3x + 0 -35 + 2x = 3x Solving -35 + 2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -35 + -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -35 + -1x = 0 Add '35' to each side of the equation. -35 + 35 + -1x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = 0 + 35 -1x = 0 + 35 Combine like terms: 0 + 35 = 35 -1x = 35 Divide each side by '-1'. x = -35 Simplifying x = -35
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