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Simplifying (5 + x)(x + -3) = x * x Reorder the terms: (5 + x)(-3 + x) = x * x Multiply (5 + x) * (-3 + x) (5(-3 + x) + x(-3 + x)) = x * x ((-3 * 5 + x * 5) + x(-3 + x)) = x * x ((-15 + 5x) + x(-3 + x)) = x * x (-15 + 5x + (-3 * x + x * x)) = x * x (-15 + 5x + (-3x + x2)) = x * x Combine like terms: 5x + -3x = 2x (-15 + 2x + x2) = x * x Multiply x * x -15 + 2x + x2 = x2 Add '-1x2' to each side of the equation. -15 + 2x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 2x + 0 = x2 + -1x2 -15 + 2x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 2x = 0 Solving -15 + 2x = 0 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 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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