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Simplifying x2 + -9 = (x + -3)(x + -5) Reorder the terms: -9 + x2 = (x + -3)(x + -5) Reorder the terms: -9 + x2 = (-3 + x)(x + -5) Reorder the terms: -9 + x2 = (-3 + x)(-5 + x) Multiply (-3 + x) * (-5 + x) -9 + x2 = (-3(-5 + x) + x(-5 + x)) -9 + x2 = ((-5 * -3 + x * -3) + x(-5 + x)) -9 + x2 = ((15 + -3x) + x(-5 + x)) -9 + x2 = (15 + -3x + (-5 * x + x * x)) -9 + x2 = (15 + -3x + (-5x + x2)) Combine like terms: -3x + -5x = -8x -9 + x2 = (15 + -8x + x2) Add '-1x2' to each side of the equation. -9 + x2 + -1x2 = 15 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 0 = 15 + -8x + x2 + -1x2 -9 = 15 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 = 15 + -8x + 0 -9 = 15 + -8x Solving -9 = 15 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 8x = 15 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 8x = 15 + 0 -9 + 8x = 15 Add '9' to each side of the equation. -9 + 9 + 8x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 15 + 9 8x = 15 + 9 Combine like terms: 15 + 9 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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