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Simplifying (x + -2)(x + 2) + -21 = 0 Reorder the terms: (-2 + x)(x + 2) + -21 = 0 Reorder the terms: (-2 + x)(2 + x) + -21 = 0 Multiply (-2 + x) * (2 + x) (-2(2 + x) + x(2 + x)) + -21 = 0 ((2 * -2 + x * -2) + x(2 + x)) + -21 = 0 ((-4 + -2x) + x(2 + x)) + -21 = 0 (-4 + -2x + (2 * x + x * x)) + -21 = 0 (-4 + -2x + (2x + x2)) + -21 = 0 Combine like terms: -2x + 2x = 0 (-4 + 0 + x2) + -21 = 0 (-4 + x2) + -21 = 0 Reorder the terms: -4 + -21 + x2 = 0 Combine like terms: -4 + -21 = -25 -25 + x2 = 0 Solving -25 + x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x2 = 0 + 25 x2 = 0 + 25 Combine like terms: 0 + 25 = 25 x2 = 25 Simplifying x2 = 25 Take the square root of each side: x = {-5, 5}
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