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Simplifying (x2 + 25) + -1(x + 2)(x + 2) = 0 Reorder the terms: (25 + x2) + -1(x + 2)(x + 2) = 0 Remove parenthesis around (25 + x2) 25 + x2 + -1(x + 2)(x + 2) = 0 Reorder the terms: 25 + x2 + -1(2 + x)(x + 2) = 0 Reorder the terms: 25 + x2 + -1(2 + x)(2 + x) = 0 Multiply (2 + x) * (2 + x) 25 + x2 + -1(2(2 + x) + x(2 + x)) = 0 25 + x2 + -1((2 * 2 + x * 2) + x(2 + x)) = 0 25 + x2 + -1((4 + 2x) + x(2 + x)) = 0 25 + x2 + -1(4 + 2x + (2 * x + x * x)) = 0 25 + x2 + -1(4 + 2x + (2x + x2)) = 0 Combine like terms: 2x + 2x = 4x 25 + x2 + -1(4 + 4x + x2) = 0 25 + x2 + (4 * -1 + 4x * -1 + x2 * -1) = 0 25 + x2 + (-4 + -4x + -1x2) = 0 Reorder the terms: 25 + -4 + -4x + x2 + -1x2 = 0 Combine like terms: 25 + -4 = 21 21 + -4x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 21 + -4x + 0 = 0 21 + -4x = 0 Solving 21 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -4x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4x = 0 + -21 -4x = 0 + -21 Combine like terms: 0 + -21 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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