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Simplifying (5x + -3)(x + 1) = 5x2 + 1 Reorder the terms: (-3 + 5x)(x + 1) = 5x2 + 1 Reorder the terms: (-3 + 5x)(1 + x) = 5x2 + 1 Multiply (-3 + 5x) * (1 + x) (-3(1 + x) + 5x * (1 + x)) = 5x2 + 1 ((1 * -3 + x * -3) + 5x * (1 + x)) = 5x2 + 1 ((-3 + -3x) + 5x * (1 + x)) = 5x2 + 1 (-3 + -3x + (1 * 5x + x * 5x)) = 5x2 + 1 (-3 + -3x + (5x + 5x2)) = 5x2 + 1 Combine like terms: -3x + 5x = 2x (-3 + 2x + 5x2) = 5x2 + 1 Reorder the terms: -3 + 2x + 5x2 = 1 + 5x2 Add '-5x2' to each side of the equation. -3 + 2x + 5x2 + -5x2 = 1 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3 + 2x + 0 = 1 + 5x2 + -5x2 -3 + 2x = 1 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -3 + 2x = 1 + 0 -3 + 2x = 1 Solving -3 + 2x = 1 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 = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = 1 + 3 2x = 1 + 3 Combine like terms: 1 + 3 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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