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Simplifying x2 + -1(x + 25) = (x + 2)(x + -2) Reorder the terms: x2 + -1(25 + x) = (x + 2)(x + -2) x2 + (25 * -1 + x * -1) = (x + 2)(x + -2) x2 + (-25 + -1x) = (x + 2)(x + -2) Reorder the terms: -25 + -1x + x2 = (x + 2)(x + -2) Reorder the terms: -25 + -1x + x2 = (2 + x)(x + -2) Reorder the terms: -25 + -1x + x2 = (2 + x)(-2 + x) Multiply (2 + x) * (-2 + x) -25 + -1x + x2 = (2(-2 + x) + x(-2 + x)) -25 + -1x + x2 = ((-2 * 2 + x * 2) + x(-2 + x)) -25 + -1x + x2 = ((-4 + 2x) + x(-2 + x)) -25 + -1x + x2 = (-4 + 2x + (-2 * x + x * x)) -25 + -1x + x2 = (-4 + 2x + (-2x + x2)) Combine like terms: 2x + -2x = 0 -25 + -1x + x2 = (-4 + 0 + x2) -25 + -1x + x2 = (-4 + x2) Add '-1x2' to each side of the equation. -25 + -1x + x2 + -1x2 = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + -1x + 0 = -4 + x2 + -1x2 -25 + -1x = -4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -25 + -1x = -4 + 0 -25 + -1x = -4 Solving -25 + -1x = -4 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 + -1x = -4 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = -4 + 25 -1x = -4 + 25 Combine like terms: -4 + 25 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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